diff --git "a/data/dm_maths/full_data_2/11158_11255.jsonl" "b/data/dm_maths/full_data_2/11158_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11158_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -2*i + 88 = 88. Is 2\/9 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 7) to base 6.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 3. Let u be t(12). Let z = u - 2. Calculate the lowest common multiple of 4 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {r: 4, y: 5, q: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 25*w - 6. Let b be p(-16). Let f be (132\/22)\/(1 + 0). Suppose -8*z = -b - f. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.753 and 0.071131?\nAnswer: -0.053561643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 1243?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300403 + -12342?\nAnswer: 233011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/1791800 and 1\/9300.\nAnswer: 5375400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 705 and 3102?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 4*f - 50 - 126, -5*x - 3*f = -172. Calculate the highest common factor of 352 and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3}. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v = -3*w + 23, 5*w - 29 = -2*v. Let x = w + -3. Suppose -3*b - 59 = -2*l + x*b, 5*l + 3*b = 101. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 8. Let j be (z - -7)\/((-4)\/(-4)). Solve 18 = j*h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1576*m - 2271*m + 8907*m + 15106*m.\nAnswer: 20166*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(980\/360)*1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623903 is divided by 86?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 976*k**2 - 2163*k**2 + 959*k**2 to l + n*k + m*k**2 and give m.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 + 160016*z**3 + 2126943000*z**2 + 9302231601936*z - 1216017691725564.\nAnswer: 4*(z - 127)*(z + 13377)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -727, -728, -729?\nAnswer: -730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/13)*w*w)**(5\/17)*w**(1\/4)*w*w*w**(-19) assuming w is positive.\nAnswer: w**(-14207\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*k = -17*k - 10800. Let s = k - 238. Solve 0 - s = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2984 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 3. Let g be b(-2). Let i be g\/(-2)*16\/(-6). What is the derivative of -8 + 2*j**i + 6 + 0*j**4 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*(l*(l*l**(-6))\/l)\/l*l)*l**(-1))\/(l**8\/(((l\/l**3*l)\/l*l)\/l)) assuming l is positive.\nAnswer: l**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from xhxhx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -5*a**4\/4 - 5*a**3\/3 - 3. Let m(u) = -9*u**3 - 9*u**2. Suppose 72*v - 37*v + 385 = 0. Determine v*d(h) + 6*m(h).\nAnswer: h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) -128 (c) 0.3 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k**2 + 9*k - 7. Let u(a) = -13*a**2 - 8*a + 12. Let z(g) = -g**2 + 1. Let t(c) = -u(c) + 6*z(c). Calculate -5*m(i) + 6*t(i).\nAnswer: 2*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-1 - (-10)\/(-6)). Let j = 10 + h. Factor g**3 - g + g**j - 1 + g**2 - 1.\nAnswer: (g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 11*u**2 - 12*u + 3. Let j(x) = -2*x**2 - 5*x + 6. Let v be j(2). Let m be l(v). Solve 5 - m = -4*a + 2*d, 3*a - d = -4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (98\/(49\/(-7)))\/((-3)\/9). Solve -11*q - 9 = -w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3842377?\nAnswer: 7, 11, 139, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 957, 945, 931, 915, 897, 877?\n\"Answer: -u**2 - 9*u + 967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 379\/26710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 40417?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -69821 (base 11) in base 4?\nAnswer: -120213100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 - 13*z**2 - 5*z - 1. Let r be s(-6). Sort -5, 11, r in increasing order.\nAnswer: r, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13) + sqrt(13))*6 - sqrt(91)\/(sqrt(7)*1).\nAnswer: 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1891\/5 (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 11*g + 261. Let o(p) = 5*p + 116. Let a(h) = -9*o(h) + 4*q(h). Let r(x) = x**2 + 32. Calculate a(r(k)).\nAnswer: -k**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2283.8 * -0.3.\nAnswer: 685.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n - 2. Let c = 24 + -22. Suppose -3*x + 2*o = -c*o - 30, -4*o - 6 = x. Suppose 0 = 3*r + 2*j - 16, -2*j = r - x - 6. What is z(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 76869, 153736, 230603, 307470?\n\"Answer: 76867*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**3\/2 + 3*b**2\/2 + 17*b. Let h(c) = 3*c + 2. What is 2*a(n) - 3*h(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**4\/12 - 8*d**3\/3 - 51*d**2\/2 - 94*d. Suppose -195 = 4*x - 9*x. What is the remainder when x is divided by u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1848 divided by 132\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m**2 - 35*m**2 - 14*m**3.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 444045424?\nAnswer: 2, 271, 102409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h + 296. Let t be p(-33). Let v be 0\/1 + 1*7. Calculate the common denominator of 3*(t + v\/9 - 2) and 74\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000650385874 rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -12, -19, -26, -33?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 28 = 5*j. Suppose -2*h = -j*h - 8. Suppose 0 = x - 3 + 5. Sort x, h, -5 in descending order.\nAnswer: x, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -701.14 rounded to the nearest 10?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 15) to base 4\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 15. Let w be g(8). Let d(z) = z**3 + 7*z**2 - z. Calculate the remainder when 12 is divided by d(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-two thirds of a decade?\nAnswer: 2480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 5*b + 5. Let c be w(-5). Suppose -118 + 38 = -c*d. Calculate the remainder when 46 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 136? (a) 0.34 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 5:12 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1560\/(-160))\/(25\/20)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1548238836?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 5 + 2*c**2 - 4*c**2.\nAnswer: -2*c**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -4, 2, 0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18ab4b (base 13) to base 7\nAnswer: -5205201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1218360 and -7\/2106.\nAnswer: 32895720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3582 - 47430?\nAnswer: -52122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*v = -6, 3*v = 3*q + 2*q - 9. Suppose q = 4*i - 4*s - 100, 0 = -4*i - 0*s + s + 85. Solve 0 = -2*t + 6*t - i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovfz. Give prob of sequence vo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 3. Let g = -71 - -108. Let z = -32 + g. Solve z*b + q = -5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l**4\/11 - 217466*l**3\/11 - 18395178*l**2 - 4195381498*l - 1675210636 = 0. What is l?\nAnswer: -451, -2\/5, 22649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -137 + 101. Let n = h + 111. Calculate the remainder when n is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1504378.63 * 0.2\nAnswer: 300875.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*x = -24 + 12, 2*x = 2*y + 22. Which is the nearest to 229\/4? (a) y (b) 2\/5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/3 + 4\/12. Suppose 5*z - 87 = -b*y, 4*z - 4*y + 33 = 125. What is the remainder when 72 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -343 - -347. Let a(m) = m**2 - 1. Determine a(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/7)\/u))\/(u*u**(-6\/11)\/u)*(u\/u**(-1\/4)*u)**(1\/78) assuming u is positive.\nAnswer: u**(22903\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23694623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m. Suppose -4*l + 5*a - 18 = m, -2*a = -5*l + 8 - 22. What is the common denominator of -21\/10 and (-50 + l)\/((-7)\/(-1))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41406 is divided by 59?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urfubffriubirunnfrbb. What is prob of sequence nrnf?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 2698?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -477792*g - 4029. Let t(f) = 2133*f + 18. Give 1343*t(b) + 6*v(b).\nAnswer: -2133*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151527\/8 - -18941. Let q(r) be the first derivative of w*r**3 - 3\/16*r**4 + 30 + 3\/8*r**2 - 3\/40*r**5 + 0*r. Suppose q(y) = 0. What is y?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*q + 376*q + 414*q + 394*q - 1296*q.\nAnswer: 301*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5 - 165*y**4 - 80097*y**3 - 1761411*y**2 - 10773906*y - 9092424 = 0 for y.\nAnswer: -124, -11, -1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/36 and -97\/362.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 74. List the prime factors of (1 - c\/(-6)) + 338\/39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1392095443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 5*y - 181, 988 - 1165 = 3*m + 9*y for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1352\/(-8))\/13)\/((-7)\/((-49)\/7)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 250\/(-120)*-4 + -8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - t + 6*t**3 - 15*t**3.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 + 1 + -18)\/(-2). Solve 5*f - 2*g + 5 = 0, 2*f - 5*g + c*g = -1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -43. Let y(j) = j**3 - 8*j**2 - 8*j - 9. Let q be y(w). Is -14 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1616.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i - 3. Suppose -2*c + 4*s + 162 - 24 = 0, -c = 2*s - 81. Let f be 4\/(-18) - c\/27. What is the units digit of b(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/30240 and -5\/328608?\nAnswer: 4929120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -25. Let s = -14 - z. What is the units digit of (-2)\/s + (-1011)\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10641106 = 70*w + 2243556. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113097759 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -193, -1624, -3977, -7246, -11425, -16508, -22489, -29362?\n\"Answer: l**3 - 467*l**2 - 37*l + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 + 101. Let l(q) = 2*q**2 + 8. Let i(t) = 5*t**2 + 22. Let m(w) = x*i(w) + 11*l(w). Let p(u) = 3 + 36*u - 3. What is p(m(h))?\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 + m**2 - 17*m + 48. Determine j(4).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3022, 24243, 81846, 194023, 378966, 654867, 1039918?\n\"Answer: 3032*i**3 - i**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10787 divided by 56.\nAnswer: -1541\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*(o**(4\/7)*o)\/o*o*o*o**(4\/7)*o\/(o\/(o*o*o\/(o\/(o**2*o)*o)))*(((o*o*o\/(o**6\/o))\/o*o*o)\/o)\/o*o assuming o is positive.\nAnswer: o**(43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.517 + -10.517. Which is the closest to o? (a) -3 (b) -0.5 (c) -0.05 (d) -81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158585160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66727813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -16 (b) -3 (c) -16821\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**5\/270 - 13*s**4\/108 + 22*s**3\/27 - 159*s**2 + 3*s. Solve n(x) = 0 for x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llkeaevlaxeaeleeaexe. Give prob of sequence ek.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2 = 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -124*s + 119*s. What is the least common multiple of 152 and s?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2154826?\nAnswer: 2, 1077413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 332251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5. Let x(c) = -c - 11. Suppose 1607 = 17*m + 1675. Calculate m*x(z) + 9*f(z).\nAnswer: 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 18*r + 2749 - 2749.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3530, 5539, 7534, 9509, 11458?\n\"Answer: -d**3 - d**2 + 2019*d + 1513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 - (0 - 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3932 is divided by 281?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence susu when four letters picked without replacement from eledussssldu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from yxezeue.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1772 divided by 10.\nAnswer: -886\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49513751 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-753)\/(-2)*(-4)\/(-6). Let l = r - 147. Suppose -4*y + l = -56. Calculate the highest common divisor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3 + 20*b**2 + 86*b - 104 = 0.\nAnswer: -4, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 114155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2. Let u(z) = -10*z**2 + z**2 - 10*z**2 - 11*z**2. What is n(u(l))?\nAnswer: 900*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0*p + 6964. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3 - (-103 - -93)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109456\/27 - 4053. Let q = 188\/7 + -1195\/63. Calculate the common denominator of a and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a factor of 79275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 2*s**3 + 17*s**2 - 17*s**2 + 292.\nAnswer: -2*s**3 + 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -175 - -173. Sort 4, 0, l, -3 in increasing order.\nAnswer: -3, l, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -33. Suppose -5*i + 4*j + 74 = 0, 2*i - 5*i = 4*j - v. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y. Let b(j) = 3*j**3 + 15*j - 6. Calculate b(m) + 15*n(m).\nAnswer: 3*m**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**4\/12 - v**2. Let u(c) = -c - 4. Let p(q) = -18 - 258*q + 255*q + 4. Let s(t) = -2*p(t) + 7*u(t). Calculate o(s(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56 by 1083370.\nAnswer: 28\/541685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z. Let m(w) be the second derivative of -5*w**3\/6 - 2*w. Determine b(m(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 7. Let r be p(9). Factor 4 - 20*h**3 + 11 + 30*h**2 - 44*h - 1 + 18*h**2 + r*h**4.\nAnswer: 2*(h - 7)*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 b when three letters picked without replacement from sbsbsb.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082 less than -0.02017?\nAnswer: 1081.97983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/7)*u)**(2\/3)*u\/(u**(4\/3)*u)*u*u\/(u\/((u**(-11)\/u)\/u))*u*u*u)**(3\/13) assuming u is positive.\nAnswer: u**(-185\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqyq when four letters picked without replacement from {q: 12, y: 7}.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.2 + -3.6. Let g = 27 + -37. Let y = o - g. Which is the biggest value? (a) -1\/4 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151\/(-604)*16*1\/2*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-11)\/22)\/(-1 - (-17)\/18) and 312?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j - 5*j + 10*j. Let r(y) = 4*y**2. Determine k(r(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/104 and 53\/12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8617 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 580942948 to the power of 1\/3, to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/3 - 5\/6. Let b(n) be the first derivative of 0*n - 2\/3*n**3 + 0*n**2 - v*n**4 + 1. Factor b(i).\nAnswer: -2*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.676 and -80\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(2\/5))\/b**1)\/((b**(3\/4)\/b)\/b**(-5)))\/((b*(b**(-4)*b*b)\/b*b)\/(b**(-5)\/b)*b**6\/b*b**(-5)) assuming b is positive.\nAnswer: b**(-183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-107)\/(-7) - 18\/63. Suppose 3*p = -2*p + i. Suppose -200 = -3*r - b, -5*r + p*b + 281 = -29. List the prime factors of r.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 41\/2, 2294, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04066 + 18498.\nAnswer: 18497.95934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -3, 9 in descending order.\nAnswer: 20, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 14 + 6*x**3 + 32.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60260\/1661 + 399\/11. Let s = h - -607\/453. Let g = -99 - -95. What is the second biggest value in 3\/7, s, g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 738 + -666. What is the remainder when h is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 14. Suppose 2*x = 5*x + 2*m - 63, 0 = a*x - 5*m - 61. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -325 + 2?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -49.\nAnswer: -1.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1007 - 957. Suppose 12 = w + 2. What is the highest common divisor of g and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2996.04 + 2996. What is the third biggest value in -0.4, m, 1\/142?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27571, 55142, 82715, 110290, 137867, 165446, 193027?\n\"Answer: n**2 + 27568*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/6 - 16735*p - 100412\/3.\nAnswer: (p - 100412)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = s - 364. Let o be (-36)\/42*s\/12. Solve 0 = o*m - f - 9, 4*m + 4*f = m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5 + 3*a**5 - 2*a**5 + 13*a + 20*a**5 wrt a.\nAnswer: 400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 328536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 4402873.\nAnswer: 5\/4402873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -14390922 and -14390927 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**6\/120 + k**5\/5 - 25*k**4\/16 + 9*k**3\/2 - 2*k - 2066. Factor y(q).\nAnswer: -q*(q - 9)*(q - 4)*(q - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 2*k + 4*k + 0*k. Let l(c) be the second derivative of -c**4\/12 - 15*c. Give l(b(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -103, -32, 87, 254?\n\"Answer: 24*d**2 - d - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -521 - -1243. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 15 = 5*x. Let p be (x\/2)\/(-3 + (-45)\/(-12)). Solve p*d + 2*k - 3 = 5*d, -3*d - 4*k - 3 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 9:38 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3.6, 0 in decreasing order.\nAnswer: 0, -0.3, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136\/3 + 1777\/39. Let o = 396 - 392. Sort o, s, -1\/8 in decreasing order.\nAnswer: o, s, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(2\/29)\/(l**(-2\/3))**42 assuming l is positive.\nAnswer: l**(810\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22579874*a**3*g**2 + 13097084*a**2*g**2 + 2*a**2*g wrt a.\nAnswer: -135479244*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 3*o - 6*o)*(237 + 978 + 1074 + 478).\nAnswer: 2767*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - a + 64. What is the remainder when (12\/(-14))\/((-24)\/1680) is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (53\/11 - 58\/(-319)). Put -7, 5, w, 0, 11 in decreasing order.\nAnswer: 11, 5, 0, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1706789?\nAnswer: 7, 19, 41, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -302597230 or -302597229?\nAnswer: -302597229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 + 2 + 6 - 2 - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1134 and 2106?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -42 (b) -2\/7 (c) 0.5 (d) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1450.4 (b) 2 (c) -2\/23 (d) 0.2 (e) -2\/5 (f) -1\/2 (g) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**3 + v**2 - 21*v - 11. Let m be k(-5). Let f = -428 - m. What is the greatest common factor of f and 585?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102201 + -110?\nAnswer: 102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**6 + 27*a**3 - 2*a**2 - 27*a**3 wrt a.\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31841328 divided by 129.\nAnswer: -246832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -551461?\nAnswer: 3\/551461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -54305 and 8979161.\nAnswer: 8924856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.045 and -641161.\nAnswer: -28852.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -17. Let b = y - 16. What is the units digit of ((-4)\/b)\/(1\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800) - ((sqrt(2) + sqrt(2)*-1)*-1 - sqrt(2))) + sqrt(20)\/(3*sqrt(1440)))**2.\nAnswer: 573049\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 99. Let j(t) = 12*t**3 - 17*t**2 - 17*t + 17. Let m(d) = -4*d**3 + 6*d**2 + 6*d - 6. Give x*j(i) - 17*m(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 15, f: 4}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or 4936127?\nAnswer: 4936127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 n, and 1 j when three letters picked without replacement from kqjfkjffjn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**3 - k**2 - k + 1. Suppose 4*r - 3*r + 1 = 0. Let m be 2 + (-2 - (r - 0)). What is the units digit of c(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*c + 18 = 2*c, -2*p = -2*c - 20. Let o = -5 + p. Let t = o - 4. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/29 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 + 2*s - 2. Let a be u(2). Factor v**2 - v**5 + 9*v**4 - 3*v + v + 3*v**3 - a*v**4 + 8*v**4.\nAnswer: -v*(v - 1)**2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24596*z - 2*z**3 + 49783*z - 25187*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/22080 and -55\/1068?\nAnswer: 1965120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 2. Let d(u) = -2*u - 3. Let q(l) = -3*d(l) - 5*r(l). Let y be q(-8). Which is bigger: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3447*f - 1992 = -3613*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 293517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 16*x - 49. Let f be i(-11). Calculate the remainder when 126 is divided by (-128)\/(-12)*f\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*x - 33, 3*h - 4*h + 41 = -4*x. Let n be ((-18)\/4)\/((h\/10)\/(-5)). Suppose 0 = -n*i + 173 + 250. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.16 + -0.16. Let i(b) = -b + 4. Let l be i(4). Let m = -629 - -632. What is the closest to -1 in f, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -9, 2\/11 in ascending order.\nAnswer: -18, -9, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1387\nAnswer: 5\/1387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1653 + -0.2167. Round n to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6237204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -357.\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 90*t + 108*t + 2 + 2 - 78*t - 6.\nAnswer: -60*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 3a4?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymbyybmymzbmbmh. Give prob of sequence yhy.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/516363 and -115\/12?\nAnswer: 2065452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010001010001000 (base 2) to base 15.\nAnswer: c4dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 688159.3 milligrams?\nAnswer: 0.0006881593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60812 divided by 15203.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8712)\/(-14) - ((-133)\/49 + 3). Are q and 622 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216544 is divided by 725?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {x: 1, s: 1, g: 2, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67*v**3 - 44 - 17*v**3 - 39 + 8 wrt v?\nAnswer: -252*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 472 = -45*r + 94*r. Suppose 4*h = 2*t + 8 + 12, 4*h - 26 = 5*t. Let b be (-6)\/r - 204\/60 - t. Does 11 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1669.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w + 3. Let m(h) = -302*h**2. Calculate m(n(g)).\nAnswer: -10872*g**2 - 10872*g - 2718","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (6 - 2)) + 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 1\/(1\/(-2)). Let r = 2451 + -2448. What is the tens digit of (v - (-54)\/(-12))*(-104)\/r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n = -1. Suppose 0 = y + n - 4. Suppose 4*x = d + x - 55, -y*d - 3*x = -105. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 3*u**2\/2 + 2*u + 1. Let f(h) = -h - 10. Let l be f(-13). Is d(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -32 + 28 + 10\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139 - -143. Solve o = -q*p - 20, -4*p + 4*o + 5 = -5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 10*n - 33. Suppose n = -3*w - 147. Let h = -40 - w. What is the remainder when h is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7830)\/3132*((-12)\/470)\/(6\/(-4)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, 7, -5, 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 13 = 3*u, 54*v - 59*v = -2*u - 22 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 617479337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 10. Suppose 60 = 5*o + 3*k, z*o - 4 - 20 = k. Suppose 9*h = 6*h + o. Solve -5*r = 5*b - 5, -5 - 1 = 2*b + h*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8\/11, -5 in increasing order.\nAnswer: -5, 0, 8\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*h + a - 485, 2*h + 335 = -3*a. Let j be (h\/12)\/((-1)\/3). What is the greatest common divisor of j and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)\/((-1)\/(-53)). Let a be 8\/10 - 954\/30. Let k = a + w. What is the remainder when k is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14927183*d**2 - 8505331*d?\nAnswer: -29854366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37000945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + i**5 + 0*i + (-4 - i + 4)*(-i**3 + 2*i**4 + i**3) + (9 + 7 - 3)*(-5*i**5 + 2*i**5 + i**5) - i**3 + i**3 + 2*i**5.\nAnswer: -25*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 6*i**2 + 2*i - 6. Calculate c(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k - 4. Let p be f(3). Suppose -m + 2*d - 6 = -p*m, -4*m - d = -9. Factor -m*q + 2*q - 3*q**5 - 6*q**2 - 4*q + 12*q**3 + 6 - 4*q.\nAnswer: -3*(q - 1)**3*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1158344*-11.7.\nAnswer: 13552624.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58, 95, 130, 169, 218, 283?\n\"Answer: a**3 - 7*a**2 + 51*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 5*u - 6. Let i be t(4). Let j be ((-244)\/6)\/(20 - (-434)\/(-21)). Let p(g) = j + 71 - 133. Let v(f) = 3*f - 3. Calculate i*p(m) + v(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50515404502 + -3?\nAnswer: 50515404455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -4, -2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 0.77, 0, 192\/23 in descending order.\nAnswer: 192\/23, 3, 0.77, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**4 - 640*y**3 + 13035*y**2 - 7520*y - 922880 = 0. What is y?\nAnswer: -7, 16, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-4)*((-18)\/(-330))\/(51\/340)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -21*h**3 + 2*h**2 + 2*h + 2. Let i(o) = 5*o**2 - 33*o + 0*o + 5 - 41*o**3 + 32*o + 6*o. Determine -2*i(x) + 5*w(x).\nAnswer: -23*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44444213 + -5?\nAnswer: -44444221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 15*a**2 + 81*a - 13. Determine l(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 999856.\nAnswer: 999847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 68, -1, -2, -48, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 43*r**4\/4 + r**2 - r + 4. Let u be y(1). Suppose -a - a = -u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + -5 + sqrt(65)\/(-1*sqrt(5)) + 5).\nAnswer: -3*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/12853?\nAnswer: -2\/12853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n*n\/((n\/(n**(-6\/23)\/n))\/n))*n*n**(5\/11) assuming n is positive.\nAnswer: n**(181\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s + 63. Let d be u(9). Let r(c) = -3*c - 2. Let j(w) = -13*w - 9. Give d*r(g) - 2*j(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -142*t**2 + 3690*t + 40. Determine o(26).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9532 and -4?\nAnswer: -38128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -496, -693, -1020, -1483, -2088?\n\"Answer: -f**3 - 59*f**2 - 13*f - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 6 = 2*s. Let v = 18 - s. What is the remainder when 35 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -2)\/(-1) + -1. Suppose -2*d - 5*y = 3*d + 5, 5*d + 4*y = p. Solve -3*r - 29 = d*w, -4*w + 2*r = 3*r + 23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2435 + -2259. What is the smallest common multiple of v and 208?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000226034489 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3712 divided by -58.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 327\/5 + 72\/120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*b - 17 - 23, 0 = -b + 5*i + 4. Let u(c) = c**3 - 32*c**2 - 120*c + 527. Calculate the remainder when b is divided by u(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 965 + -833. Suppose -5*h + 3 = -2, 0 = 5*v - 5*h - 25. Calculate the remainder when n is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15678 - -15677.92. Which is the closest to k? (a) 12.2 (b) 0.4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211800.03 rounded to the nearest one hundred?\nAnswer: -211800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + sqrt(99) + (sqrt(99)*1 + sqrt(99))*-6)\/sqrt(9) - ((sqrt(11) - (sqrt(99) + -5)) + -2)) + 3)*1 + -2 + -4.\nAnswer: -8*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4920 - g + 4920.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/1 - ((-2 - 3) + 5). Solve -2*w + f = t, -t - t + 6 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3078947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0*q**2 + 5\/3*q**4 - 41\/30*q**6 - 1\/3*q**3 + 0*q**5 - 2 + 48*q. Find the third derivative of u(a) wrt a.\nAnswer: -984*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 101, 315, 729, 1409?\nAnswer: 2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-9)*(-45)\/6. Let g be z\/24 + 10\/15. Which is the second biggest value? (a) g (b) 0.5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 6. Let g be w(4). Let o = 38 - 39. Let v be (o - 2)*7\/35. Are g and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -2*p**3\/3 + 11*p**2\/2 - 572*p. Determine b(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2. Let s(i) = -12*i**2 - 14*i + 14. Let a(g) = -5 - g + 4*g**2 + 8*g - 3*g + g. Let r(f) = -14*a(f) - 5*s(f). Determine u(r(w)).\nAnswer: -48*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 440 + -244. Suppose -194*v - 68 = -b*v. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1468717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4031 (base 5) in base 13?\nAnswer: -309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(-27)\/3. Let j be (2 + -3)\/(v\/2). Which is the nearest to -0.1? (a) -6 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 26. Let t be k(20). Suppose -2*q - 15 = -t*q + 5*u, 5*q + 9 = -3*u. Suppose 162 = 4*o - p, q*p = -p + 2. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*j**2 + 27*j**2 - 2*j + 2*j**4 - 10*j**2 - 2*j**3 in the form f*j**3 + c*j**4 + g + z*j**2 + b*j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1905218, -1905311, -1905404, -1905497?\nAnswer: -1905590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1087574, -2175156, -3262738, -4350320?\n\"Answer: -1087582*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2525642 is divided by 105235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 0.01.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by 291.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1631420 by 4.\nAnswer: -407855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -272.42+-4\nAnswer: -276.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 3 - 39) + (47 - (151 - 88))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 3*c**2 - 1. Let x be p(4). Suppose -6*i = -3*i - x. Solve -l = -0*l + y + 4, -4*l - 15 = i*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139419*u**4 + 3*u**3 - 280131*u**2 + u.\nAnswer: 3346056*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 3168*w + 893613. Determine z(313).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioiioiooiiiiiioiii. What is prob of sequence ooii?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 2148\/144) + 2\/(-8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2664692 decades in centuries?\nAnswer: 0.02664692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10432?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5391040?\nAnswer: 2, 5, 17, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 12:34 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-12))\/(4\/16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -1\/150*x**5 + 0 + 0*x - 1\/30*x**4 - 13*x**2 + 1\/5*x**3. Factor r(a).\nAnswer: -2*(a - 1)*(a + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -11*j + 6. Solve 0 = -j*s + 9*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = 14*o - 14*o + 154 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -849194619.9861 and 0.4.\nAnswer: -849194619.5861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/(-33))\/((-1)\/(-39)). Solve 3*j + f = -3*v + 2*j, 0 = v - j + 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 5715124a?\nAnswer: -57151250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/20916 and -75\/18592.\nAnswer: 167328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 933411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(18\/11)*(l\/(l**(1\/4)\/l))\/((l\/l**9)\/l))\/((l\/(l*l*l**9*l)*l**(1\/5))\/(l**(2\/35)\/l*l**(-3\/7))) assuming l is positive.\nAnswer: l**(6719\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by 20.\nAnswer: 59\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 1999*k**4\/6 - 3043*k**3\/2 + k + 110. What is the second derivative of h(n) wrt n?\nAnswer: 7996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.45 + 2.4381. What is c rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43404.19 and 0.8?\nAnswer: -34723.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 296136.5793 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4017302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242348107.\nAnswer: 7, 11, 13, 177301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 52376 = 52376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433 (base 6) in base 8?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276605861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minus -735153?\nAnswer: 735164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*p - 745622330*m**2 + 2483*m*p - 6515*p with respect to p.\nAnswer: -m**2 + 2483*m - 6515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-1 - (5 + 1)). Let k(r) be the second derivative of 0*r**2 + 0 - 1\/12*r**y + 0*r**3 - 2*r. Let c(w) = -2*w**2. Calculate c(k(z)).\nAnswer: -2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -29, -41, -53, -65, -77, -89?\n\"Answer: -12*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 5250 = -1008. Which is smaller: s or 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 59978.61 years?\nAnswer: 599.7861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65655 divided by -5.\nAnswer: 13131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -244554\nAnswer: -2445.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 891?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1478148 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 206749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-88)*(-45)\/81*(-18)\/(-15).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**2 + n + 9. Let r(q) = q. Give -3*o(t) + 5*r(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 8. Let o(h) = -h - 7. Calculate -3*o(k) - 2*u(k).\nAnswer: -k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 183*c - 182*c - 3 + (-c + c - 2*c)*(-2 - 1 + 6).\nAnswer: -5*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 154 = -9*p. Solve 0 = -4*c - 2 + p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41739180 and 560.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 9. Let x be o(4). Let b be 9\/3 + (-1 + -1 - -1). Solve b*f = x*f - 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/27*(162 - 0). Find the common denominator of -40\/219 and ((-68)\/o + 1)*84\/4.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 21*f - 19. Let o be u(22). Solve 5*z = 2 + o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-2)*4\/10. Factor -3*u**o - 4 + u**2 - 6*u + 4*u**2 - 4*u**2.\nAnswer: -2*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/931)\/(96\/(-448))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3 - 5*u**2 - 21*u + 52. Let d(j) be the first derivative of g(j). Determine d(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 158*v + 0 + 30 - 1 + 168*v to the form n + b*v and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -2\/27 (b) -15266 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7175492.4 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*g - 3. Suppose 2*r - 11 = 1. Calculate the smallest common multiple of g and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m - 46*m - 288 = 0. Calculate the highest common divisor of 24 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 43\/4 - (-1)\/4. Let g = -76\/7 + n. Sort g, 6, 2\/3 in ascending order.\nAnswer: g, 2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1260, 3339, 6626, 11115, 16800?\nAnswer: 23675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26, -60, -108, -176, -270, -396, -560?\n\"Answer: -k**3 - k**2 - 24*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 + 71*u - 140*u + 67*u to v*u + z and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -5*g**2\/2 + 5*g + 2. What is the smallest common multiple of 10 and f(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q**2 - 10*q**2 + 64*q**2 - 18*q**2 - q**2 - 13*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106416847?\nAnswer: 37, 2876131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*6\/(-24))\/(-2 - 1 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axmb when four letters picked without replacement from akxkxaxmxkmbmm.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.5 minus 0.03405?\nAnswer: -73.53405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 8:27 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4671 or -1?\nAnswer: -1\/4671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/25? (a) 2\/3 (b) -0.1 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 8 = 4*h - i, -5*h - 2*i = 0. Let r be (-1)\/(-2) - 1\/h. What is the smallest value in -2, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554671845 divided by -64161?\nAnswer: -8645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/660*24)\/((-5)\/((-3025)\/70))?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaaeeea. Give prob of picking 3 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*f - 672, -30*f + 29*f = -5*b - 156. Let g = f - 872\/5. What is the nearest to 0 in -2\/11, 5, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1619*k = 1602*k + 510. Let v(b) = b - 1. Let u be v(7). Let p be (u + -2)*(-6)\/(-4). Calculate the highest common divisor of k and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/15, 3\/13, 5, 3\/2 in increasing order.\nAnswer: -2\/15, 3\/13, 0.3, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -177339 take away -6?\nAnswer: -177333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*m - 103, -x + m = -m - 23. What is the lowest common multiple of x and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(48) + sqrt(3))*2)**2 - (sqrt(432) - ((-1 + sqrt(432) + sqrt(432))**2 + sqrt(432))).\nAnswer: -48*sqrt(3) + 2092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -152, -170, -188, -206?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.105 + 26.905. Let h = 36 - r. Round h to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 1)*(-6)\/9. Let s be (d\/(-7))\/(1\/7). Suppose 0*g + s*g = 8. Solve z + g*x + 8 = 0, -5*z + 28 = -2*x + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0091502653 rounded to 6 decimal places?\nAnswer: -0.00915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1635634*-1.4\nAnswer: -2289887.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5423 - 4853 - 3850)*(0 - 2*m + 0)*(8 + 9 - 10) to a*m + n and give a.\nAnswer: 45920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-1 + 2) - (-6 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l + 167. Suppose 28*b = 26*b. What is the remainder when w(b) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -13012?\nAnswer: -1\/3253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*t - 39*t - 38*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-10))\/(5\/2725). Solve -2*k = h - 99 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x + 14*x**3 + x**2 + 496 - 278 - 21*x - 218.\nAnswer: 14*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.5 - 2.5. Sort -5, q, 0.2 in descending order.\nAnswer: 0.2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 13*l**2 - 200*l - 10. What is the remainder when 3691 is divided by m(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 302407 - -236?\nAnswer: 302644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 132. Suppose 3*s + 336 = 17*s. Suppose s*k = 20*k + b. Calculate the smallest common multiple of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 less than 23?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, f: 5, z: 3}. Give prob of picking 4 f.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 24*t**3 - 308*t**2 - 52*t = 0?\nAnswer: -1\/6, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 0*q**4 + 15*q - 19\/5*q**5 + 0*q**2 + 22 + 0*q**3. What is the first derivative of i(n) wrt n?\nAnswer: -76*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55.06252ml?\nAnswer: 0.05506252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 4*j = -120 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19\/5388790 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -200200 (base 3) in base 10?\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -109*x + 14*x**2 - 51*x**3 - 70*x + 178*x as o*x + a + w*x**3 + y*x**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-555478)\/(-33) + -13 - (12\/9)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 495 - 11*j + 10*j + 3*j**2 - 490. Let u(a) = a**3 - 6*a**2 - 9*a + 10. Let d be u(7). What is the remainder when 149 is divided by g(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4871456 to the nearest integer?\nAnswer: 2207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -2 (b) 3 (c) -12 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/1065 (b) -3\/19 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x**3 - 2*x**2 - x - 1. Let i = 9149 + -9150. Let c(l) = -l - 1. What is i*c(g) + a(g)?\nAnswer: -6*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 3870*b**2 + 26755*b + 69030.\nAnswer: 5*(b - 767)*(b - 9)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 - -302. Let c = f + -254. Calculate the remainder when c is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/(1*10\/50)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87584183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6351071 - 7*c - 6351071.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiiz when four letters picked without replacement from qqziiqiiqqirrri.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383886985.\nAnswer: 5, 131, 586087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y + 2*g, 2*g = 4*y + 6*g - 40. Suppose 3*n + i = y*n, 4*n - i = 1. Do 12\/23 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-42) + ((-14)\/6)\/(-7). What is the fourth biggest value in 1, 5, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40664708 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1905 is divided by 210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 9 - 42)*(7*l**3 + 2*l**3 - 3*l**3).\nAnswer: -396*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35701543 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*g*v + 6*b**2*g - 183*b**2*v - 37*b*g*v + 2*g + 1 with respect to v.\nAnswer: -2*b**2*g - 183*b**2 - 37*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b - 12*b - 3*v + 25, 4*b - 4*v = -12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -16. Suppose n + 1 + 13 = -t*d, -2*n - 35 = 5*d. Let h(q) = -q**3 - 6*q**2 + 7*q - 1. Give h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 - -81.999919. Round w to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 0. Let u = -5 - c. Suppose 0 = -5*x - 4*f, u = 4*x + 3*f - f - 6. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219714 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 4*j + 6*j)*(j**3 + 6*j**3 - 4*j**3)*(2 + 0 + 0)*(11 - 1 + 5)*(-10 - 12 + 5) to i + u*j**2 + x*j**3 + v*j + w*j**4 and give w.\nAnswer: -1530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-34860)\/52290)\/((-1)\/(12\/(-34)))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + 20202?\nAnswer: 20002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**3\/2 + 23*k**2\/2 - 25*k. Let l be m(-5). Solve 0*y + 2*y = l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115064?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3636 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 81*n - 118. Give m(-43).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20478 divided by -2?\nAnswer: -10239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -4*j - 6, w = 2*w - 2*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = u - 4*v, -4*u - v = -3*v - 12. Suppose -4*x - u*x + 18 = 0. Find the common denominator of -119\/12 and 475\/120*-2*x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -47*d + 82. Let a(s) = -45*s + 82. Let x(g) = -2*a(g) + 3*n(g). Find the first derivative of x(u) wrt u.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-4*sqrt(7))**2 + 2)*-2.\nAnswer: -8068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120698 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 714565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 - 13*o**2 - 10*o - 153. Let x(u) = 2*u**3 + 12*u**2 + 8*u + 161. What is -4*r(n) - 5*x(n)?\nAnswer: 2*n**3 - 8*n**2 - 193","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/7 - ((-3327)\/21 - 5). Suppose -d = -o + 165. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1001108 and 1874596?\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336691, -337284, -338897, -342040, -347223, -354956?\nAnswer: -365749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 1, -8, 30 in descending order.\nAnswer: 30, 2, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Let a be (5\/30)\/((-2)\/100). Let m = 8 + a. What is the third biggest value in h, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**6\/1800 - h**5\/150 - h**4\/30 + h**3\/2 - 2*h. Let j(m) be the second derivative of g(m). Factor j(k).\nAnswer: -(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 24*c**3 + 39*c**3 + 2*c**2.\nAnswer: 63*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.5 - 6.5. Which is the nearest to 0? (a) 0 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d**2 + 35*d + 17. Let h(p) = -4*p**2 - 17*p - 9. Let t(x) = -5*h(x) - 2*w(x). Is t(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12570 and 5.\nAnswer: 12570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/47 (b) 1 (c) -1\/2 (d) 2\/19 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/2227038 and 53\/46565340.\nAnswer: 512218740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4) + (-474)\/(-12). Let d be ((-30)\/k)\/((-6)\/16). Is (5 + 0)\/(d\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7257 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/10 + 212\/(-20). Let z be c*(12\/15)\/(-2). Suppose -28 = -4*r + 4*x, 7*r - z*r + x = 17. What is the least common multiple of r and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**7\/420 - y**4\/24 - 5*y**3\/6 - 5*y. Let i(x) be the second derivative of s(x). What is the derivative of i(n) wrt n?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdqdqddqqdqqqqdqchqo. Give prob of sequence dq.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 6*j + n + 77803, j + 3*n - 25911 = 0. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -4 (c) 11 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 + 2*s - 9*s**3 - s**3 + 9*s**3 to v*s + d*s**2 + o + c*s**3 and give o.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51213, -50999, -50785?\n\"Answer: 214*s - 51427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b - 2*x - 14667 = 0, 5866 = 2*b - x. Let d = 841\/408 - 7\/1224. What is the common denominator of b\/450 + 4\/(-5) and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 65, 6, -65, -154, -267, -410, -589, -810?\n\"Answer: -s**3 - 52*s + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 834.329t in grams?\nAnswer: 834329000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496337 to the power of 1\/2, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(504)\/sqrt(8).\nAnswer: 5 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1217.0485 and 1112050?\nAnswer: 1113267.0485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9368*o**2 - 4713*o**2 - 4595*o**2.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19595, 39191, 58787, 78383?\nAnswer: 97979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690 + 690 + 1994*j.\nAnswer: 1994*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3048.5 + -3049. What is the fourth smallest value in d, -13, 3\/4, 0.2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.99496 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d - 197 + 236 + 3 to the form w*d + x and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-48)\/(-108))\/(4\/18). Factor -6*x - x**q + 2*x**2 + 4 + x**2.\nAnswer: 2*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*-15*(-8)\/(-7560)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 9*f = -42. Suppose 25*l - 88 = f*l. Suppose -155 = l*j - 27*j. Calculate the remainder when j is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 5*w + 8. Let x be u(6). Is x\/6 - (-48862)\/33 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 564836 or 564824?\nAnswer: 564824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x + 2*x)*(17565*x**2 - 27*x**2 + 425*x**2).\nAnswer: 35926*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*o - 19 - 11, -5*p + o = -66. Let m be 22\/6 - 4\/6. Suppose 67 = 3*a + 13. Solve 0 = 4*h + 2*k - a, p = m*h + k + k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1944 is divided by 110.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2180559686 to the nearest integer?\nAnswer: 46696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 6. Let r(o) = 2*o + 22. Let x be r(-8). Suppose -x*u = -15*u + 198. Solve 3*y - u = -z*l, -5*l + 29 = -0*y - 4*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 3.92 (c) -5\/81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112.8 * -24.\nAnswer: -2707.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -404 and -46.2.\nAnswer: 18664.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -162 - -294. What is the common denominator of (-3)\/(i\/45 - 3) and -24\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.6 (b) -2\/191 (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32139 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15*b**3)**(5\/6) assuming b is positive.\nAnswer: b**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1027, 2055, 3083?\n\"Answer: 1028*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**8\/3360 + n**7\/1260 - n**4\/3 - 9*n**2. Let r(a) be the second derivative of m(a). Suppose r(l) = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 3*i**2 + 33*i - 5. What is the smallest common multiple of 11 and c(4)?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -69, -263, -577, -1005, -1541, -2179, -2913?\n\"Answer: r**3 - 66*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 42*d**2 - 34*d + 58. Let q be a(8). What is the highest common factor of q and 576?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*p**3 - 19*p**3 + 201*p**3)*(-2 - 2 + 5 - 1 + 9).\nAnswer: 873*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-26))\/((-62)\/(-806))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 34. Suppose -x - q + 243 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18\/7*r**4 - 32\/7 + 64\/7*r**3 + 96\/7*r + 2\/7*r**5 - 16*r**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummxzomxxmx. Give prob of picking 1 z and 2 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -20 + 32 + (-2 - 1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-4)*64\/48)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - 72 + 72 + 26*q**2.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 132264 divided by -44?\nAnswer: -3006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -k - 2*k. Let l(n) = -18*n - 45. Let r be l(-3). Suppose -r*w + k*w = -60. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 5*x = -3*z - 153935 + 153910, 0 = 24*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v + 11*v = 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/10)\/(3\/30)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q - 2 = 0. Let z = 4 - q. Let r = -1 + z. Which is smaller: r or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75488 and -0.2.\nAnswer: 15097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22328 and 8.\nAnswer: 22328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 635*q - 631*q + 7*o, -o = -4*q + o - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 7*r**2 - r + 4. Let t be c(7). Put -8, 0, t in decreasing order.\nAnswer: 0, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2702321441.\nAnswer: 53, 50987197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s. Let m(z) = z - 249176. Give m(i(w)).\nAnswer: -3*w - 249176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16 - 25)*(-1 + (-1)\/(-3)). Solve -d + 2*h = 7, -2*d + 3*h - 5 = -i*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(84)*-1)\/(sqrt(14)\/sqrt(2)*6))\/((sqrt(32) + 4*sqrt(96)\/sqrt(3))\/(-2*sqrt(648) + sqrt(8))) + -4.\nAnswer: -17*sqrt(3)\/6 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -201252 (base 7) in base 8?\nAnswer: -102454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/(3\/(-15))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p**2 + 2*p + 2. What is i(2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.31426 and 3.\nAnswer: 2.68574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 10*o**3 + 26044*o**2 - 567304*o - 231088 = 0?\nAnswer: -2626, -2\/5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - n - 343. Let h be q(0). Let t = -186 - h. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 18*n**2 - 19*n - 2. Let r be c(-19). Let s be r*(4 + 5\/(-2)). Suppose -8*j - 7 - 33 = 0. Sort 5, j, s, -1.\nAnswer: j, s, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.005 + 37.995. Let o = -5.03 + 4.93. Which is the nearest to o? (a) s (b) -0.2 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l**2 - 1855*l + 1880 = 0. What is l?\nAnswer: -376\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n + 2*n)*(-5 + 4 + 3)*(3 + 1 - 6)*(-2 - 5*n + 2).\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -65865700 rounded to the nearest 1000000?\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 - -48108770.\nAnswer: 48108770.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16245 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l - 10. Suppose 1821 = 16*w - 995. Let m be w\/18 - ((-24)\/27)\/4. Let z(u) = u - 3. Determine m*z(t) - 3*g(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**3 - 25*x**2 + 13*x - 13. Let n(r) = 2*r**3 + 6*r**2 - 3*r + 3. Let o(f) = -26*n(f) - 6*z(f). Find the third derivative of o(s) wrt s.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l**2*v*y**3 - l**2*v*y + 88*l*v**3 - 8*v**3*y**3 + 30*y**3 wrt l.\nAnswer: 6*l*v*y**3 - 2*l*v*y + 88*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**12 assuming i is positive.\nAnswer: i**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4896, -8866, -11906, -14016?\nAnswer: -15196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/61997633 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 2*x**7\/105 + x**6\/30 - x**5\/15 - x**4\/6 - 8*x**2. Factor p(f).\nAnswer: 4*f*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/32 and 91\/176?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11770.79 plus 2.842067?\nAnswer: -11767.947933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 61019324604 and -0.3.\nAnswer: 61019324603.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94340313?\nAnswer: 3, 1783, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/((-153)\/(-15) + -11)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 680 (b) -2\/9 (c) 0.06 (d) 231\/68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**26*m))\/m*m*m**(2\/5) assuming m is positive.\nAnswer: m**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -4\/3 (b) -2\/7 (c) 4 (d) -14\/3235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -31*s + 69225. Suppose 0 = -4*b + s + 12107. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 14. Let l be m(-12). Let w be 1\/((2\/6)\/1). Solve 2*f = 6*b - l*b - 12, 0 = b - f - w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -5, 1.8, 2\/3.\nAnswer: -5, -3, 0, 2\/3, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -181.571 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.2 times 702?\nAnswer: -179852.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from {j: 2, e: 1, m: 1, y: 1, f: 1, k: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1*-5 + -1. What is the highest common factor of k and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2155.\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-119)\/(-21)))\/((-1749)\/(-22))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*n + 141, -4*l - 441 = -4*n - 649. What is the remainder when 1322 is divided by l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 29*s - 51. Let h be m(-27). Solve -2 = a - h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v**2 + 9*v**2 + 0*v**6 - 7*v**6 wrt v?\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (12 + (-1 - (17 - -32)))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from {d: 2, f: 2, m: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 + 29*o**2 + 8*o + 112. Let g(b) = b. Let s(v) = 5*v + 2. Let m(c) = -4*g(c) + s(c). Calculate the smallest common multiple of m(3) and f(15).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*s = 2*s - 15, -15 = -3*y - 2*s. Let m(r) be the first derivative of -3 - 1\/3*r**3 + 7\/2*r**2 - 6*r. Determine m(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12737, -12313, -11595, -10583, -9277, -7677?\nAnswer: -5783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52560816 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + -1 + 2 + 4. Suppose -2*b + 9 = -g, -b - 2 = g - i. Let q be (2 - 6) + b + 4. Solve -1 = -q*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6 + 41823.8949271.\nAnswer: 41824.4949271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1309 + 1315. What is the greatest common factor of 1434 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**15*n*n*(n*n**(2\/13))\/n)\/(n**(-14)*n*n\/n**14) assuming n is positive.\nAnswer: n**(561\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33624375?\nAnswer: 3, 5, 79, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3466, -3478, -3498, -3526, -3562, -3606, -3658?\n\"Answer: -4*u**2 - 3462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 3. Let o be x(3). Let h be ((-16)\/o)\/(4\/(-6)). What is the third derivative of y**2 + 3*y**4 + h*y**5 - 3*y**4 wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-10))\/(4\/(-8)*(-630)\/150).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203955249 is divided by 139?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.187 + 30.\nAnswer: 30.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2707840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from hiifhmdhehiefie?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.302 - 4.698. Let x = 334 - 333.6. Which is the nearest to -2? (a) -4 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66641, 68924, 71205, 73484, 75761, 78036, 80309?\n\"Answer: -b**2 + 2286*b + 64356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1294245 and 675.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.54 + 0.23. Let q = -667.07 + 667. Let c = q + a. Which is smaller: c or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-140)\/21 + 6 - (-106604)\/12. Suppose 301*c - 292*c = q. List the prime factors of c.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 638*y = -92*y - 47964 + 15114 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5445*t**2 - 95*t + 21. Let h(f) = -f**2 - 3*f + 9. Let i(w) = -2*h(w) + m(w). Find the second derivative of i(n) wrt n.\nAnswer: -10886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**2 + 42*p**2 - 2*p + 2*p + 26*p**2 - 92 - 83*p**2.\nAnswer: p**2 - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50044 divided by 511?\nAnswer: -50044\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 15. Let p(j) be the first derivative of -j**2\/2 + 164. Give p(x(q)).\nAnswer: q + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c*c**(-22))\/c)*c\/(c\/c**(-14\/3)*c)*((c**4\/c)\/c)\/c**(-2\/29))**(-9\/4) assuming c is positive.\nAnswer: c**(-1266\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven fifths of a minute?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9043.009 litres?\nAnswer: 9043009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 965 + 925. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2084*l**2 - 39*l + 353. Is g(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - f**2 + f - 14. Let c be v(0). Let i be (-2)\/(-3)*(-345)\/10. Let z = c - i. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8928.60468 to the nearest one hundred.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158.1736 months in decades?\nAnswer: 17.98478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*h + 11, 0 = -4*g + 3*h + 23 - 2. Let p be (-40)\/7 + (-2)\/7. Let k = p + g. Solve -3*u = -k*v + 8 + 1, -v = -3*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 7*d**2 + 6*d + 63. Let p(n) = n**3 - 3*n**2 - 3*n - 33. Calculate -3*c(u) - 7*p(u).\nAnswer: -u**3 + 3*u + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216908 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 480.9 - 438.31. Let z = 39.172 - c. Round z to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (10260\/57)\/((-102)\/(-4))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 15. Let r be a - (-1 - -5 - 1). Suppose 0 = r*u - 1 - 35. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292\/30 + 18 + -5 + -23.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r + 4. Let x = -325 - -337. Suppose x*m + 78 = 30. Let y(c) = -5*c - 5. What is m*s(v) - 3*y(v)?\nAnswer: -v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 149.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/3)*o)**20)**42)**(22\/5) assuming o is positive.\nAnswer: o**2464","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25651 and 904.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1835304 by 25.\nAnswer: -1835304\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 49116600.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + k - 125 = -0*k, 3*k + 213 = 5*i. Let v(b) = 3*b - 7. Let l be v(-12). Let y = l + 58. What is the remainder when i is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1480 - 566 = -33*d. What is the second smallest value in d, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 plus -1262929400?\nAnswer: -1262928590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + t + 0 - 1 + 1 - t + (t + 0*t + 4*t)*(25 - 14 + 5) + (0 + 3 - 2)*(8*t - t - 2*t) as l + u*t and give u.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c + 11. Calculate l(8).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -36*j**2 + 2*j - 12. Let f be s(3). Let t = f - -510. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5) + 162 + -139?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*h - 5*f + 68 = -49*h, 8*h + 156 = 5*f. Let z(c) = -c**2 + 7*c - 5. Let b be z(6). Sort -5, b, h in decreasing order.\nAnswer: b, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 1, f: 2, e: 2, i: 3, a: 6}. What is prob of sequence mfi?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -31*g + 94. Let n(x) be the first derivative of 0*x**2 - 7\/5*x**5 - 6 - 5*x**3 + 0*x + 0*x**g. Find the third derivative of n(b) wrt b.\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Let g = 3 - i. Let y = g - -1. Solve 0 = -5*d + 2*u - 2 + 4, -d + 4*u + 4 = y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 2827.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 6*o - 10*o. Suppose 4 = -4*h, 2*h + o = 5*s - 128. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -125*x + 245. Let m be g(2). Is m at least as big as -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*(-2155)\/(-6034)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from soxnsinioiossssssxs.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 34*g - 575. Let s be u(19). Solve -s*c - 40 = -51*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(-4)\/(-8)*91\/65?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -724*n**3 + 8*n**2 + 8*n + 37. Is w(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103174.\nAnswer: 2, 79, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(605) + 1) - sqrt(605) - (2 + sqrt(605) + -1))*-6 + 5.\nAnswer: 47 + 528*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4))**2 + sqrt(2) + -1 - (sqrt(162) + (-1*sqrt(162)*-1)**2).\nAnswer: -145 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245918 is divided by 293.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -17) + (4 - 14) + 1 + -12 + 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/((-640)\/50))\/((-270)\/(-189))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3841496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 - -59. Let s = n - -76. Suppose -7*c + 7 = -s. Solve 1 = c*z + 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*q + 299 = 3019. What is the smallest common multiple of (-2)\/(-4)*(-1 + 17) and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.4 (b) 5 (c) -6\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2) - (6\/3 - 2). Let a = 26 + o. Calculate the lowest common multiple of a and 87.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/549 in -0.05, -5\/6, -5, -1\/14, -2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) 2589 (b) -177.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 65205 = 5*z. Is 5\/20 + z\/12 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 4*m + 4*m)*(-304*m**3 - 203*m**3 - 380*m**3 + 2 - 2 - m**3 + (1 - 1 - 2*m)*(2*m**2 - 4*m**2 + 0*m**2)).\nAnswer: -1768*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 57189?\nAnswer: 228756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -240759 (base 10) in base 8?\nAnswer: -726167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1101?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)\/((h**(-11)\/h)\/h))\/(h**3)**2 assuming h is positive.\nAnswer: h**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = 5*b, -b - 2*s + 3*s = 5. Suppose b = -3*r - 5*d + 2 + 23, -5*r + 5*d = 25. Sort r, -2, 3.\nAnswer: -2, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 17*u + 2. Let s be y(17). Let f(r) = 4*r - s - 3*r + 0*r + 0*r. Let n(o) = -o + 3. Calculate -6*f(i) - 4*n(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = -5*d + 2*o + 161, 5*d - 157 = -3*o. Suppose -3*x = 4*w + 37, 2*x + 0 - d = 5*w. List the prime factors of 102\/4 + w\/(-14).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4664 + 51302\/11. Which is the closest to v? (a) -6 (b) 2 (c) -0.1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let o(d) be the first derivative of -1\/3*d**3 + 0*d + 0*d**2 - 28. Give o(c(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280858249.\nAnswer: 7, 5731801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**3\/3 + 5*u**2 - 12*u + 5. Let d be s(8). Solve d*h + 3 = -5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y. What is f(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tfruurk. What is prob of picking 1 k and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*c - 140*c**2 + 574*c - 454*c.\nAnswer: -140*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 439?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9556002?\nAnswer: 2, 3, 271, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvkn when four letters picked without replacement from {c: 3, b: 1, v: 1, k: 2, n: 1, l: 3}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 - -8 - -10 - 1*5. Let d(m) be the first derivative of -45*m - 5\/3*m**a - 15*m**2 + 6. Let d(c) = 0. Calculate c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-1 + -1)) + (-29)\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.42424 to zero dps.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0*u**2 - 134 + 13)*(-101*u + 146*u - 107*u).\nAnswer: -62*u**3 + 7502*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8275 - -8304 - (-2 - 51).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1884 divided by 628\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - 1000?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1531 - -0.8831. Which is smaller: 7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -70 + 62 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 536642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 891 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 10*r + 27 = 5*r, -5*r - 30 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -284055662 and -10153.\nAnswer: -284065815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5103761 to four dps.\nAnswer: 0.5104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1075 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7767*h**3*q + 24*h**3 - h**2*q - 487936*q wrt h.\nAnswer: 46602*q + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -10*z. Let a(t) = 10*t - 5. Let r(f) = -f**2 + 8*f - 4. Let d(n) = 4*a(n) - 5*r(n). Give d(m(h)).\nAnswer: 500*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**5 - t**3 + t - 1. Let r(b) = -93*b**5 - 6*b**3 + 2*b**2 - 26*b - 6. Let a(j) = 6*h(j) - r(j). What is the third derivative of a(c) wrt c?\nAnswer: 5940*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (354 + 2*a + 404 - 22)*(3 + 1 + 3) to the form y + l*a and give y.\nAnswer: 5152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 3 - ((-4 - -5) + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/11025*(-45)\/(-24).\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443158?\nAnswer: 2, 43, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*w - 10*w + 52*w.\nAnswer: 161*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2861 + -9490?\nAnswer: -12351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -5647222?\nAnswer: -5647226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3562\/7 + 508. Let n = 4 + -5. Let p = -21.8 + 22.8. Which is the nearest to n? (a) h (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 10) in base 15?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Let l(w) = w**3 + 8*w**2 + 7*w + 2. Suppose -4*o = -11*o - 49. Let q be l(o). Sort 0, t, q in increasing order.\nAnswer: 0, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 2, h: 1, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-4\/7))\/s*s)\/(s*s**(1\/4)))**(18\/11)*(s*s**(-2\/9)*s**(-5)\/s*s)\/(s**(6\/5)*s**(5\/2)) assuming s is positive.\nAnswer: s**(-25628\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 + 45. Let v(a) = -a**2 - a - 1. Let l(x) = -4*x**3 + 6*x**2 + 6*x + 5. Calculate b*v(d) - l(d).\nAnswer: 4*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-728)\/(-220) - (-10670)\/(-11737). Factor -o*v - 12\/5 - 3\/5*v**2.\nAnswer: -3*(v + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41360\/6862 + 6\/(-219))*2*(-1)\/9.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.12678 - 0.27322. Which is the nearest to -2\/5? (a) 0.3 (b) 0.09 (c) x (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 232 = 15*o - 255, 0*y - 2*y + 5*y + 21 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 2*p**2 - 3*p**2)*(8 + 14*p - 18*p + 5) - p**3 - 2*p**3 + p**3.\nAnswer: 2*p**3 - 13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-99*t - 3865 + 3865)*(t + t + 0*t)*(-10*t - 2*t + 19*t) to p + d*t**2 + n*t**3 + s*t and give n.\nAnswer: -1386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 388 - 206. Let y = -184 + r. Which is smaller: 10 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 150 in -3\/5, 0.23, 5, 3\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 - 78 - 34*b**2 - 72 + 33*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 1 - 1)*(-1 + 2 + 4) + 0 - 2 + 1)*((0*a - 3*a + 2*a)*(0 + 1 + 2) + 17 + 2235*a - 2242*a + 36) to q + b*a and give q.\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**2 - 121*v + 3610. Determine m(-32).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -3 + 0 + (-9 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/562 and 57\/26.\nAnswer: 7306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -1. Let n = 18 + -22. Let p(q) = -q**3 - 9*q**2 + 12*q + 14. Let r be p(-10). Put r, n, h in increasing order.\nAnswer: r, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 10. Let s be r(-7). Suppose 0 = 3*u - a - 91, s*a + 2 = -2. Suppose q + 0*q + 4*c - u = 0, -q + 18 = -2*c. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -13*t - 222. Determine j(-14).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2130030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7795 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**2 - 19 + 19)*(2*l + 1 - 1) + (3*l**2 - l**2 - 3*l**2)*(-2*l - 2 + 2).\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 37160*b**2 + 2074904*b + 4001184.\nAnswer: 2*(b + 2)*(b + 54)*(b + 18524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*j + 10*j + 5*j)*(-2*j**3 - 3 + 3).\nAnswer: -50*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 121631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.40327km to meters.\nAnswer: 53403.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1409 + -14081\/10. What is the nearest to 0.1 in -0.2, h, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/84)\/(2\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(-7) - (5 + (2 - 3))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -20 + 29 - (-1401)\/(-141)\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5445 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -104, -236, -410, -620, -860, -1124, -1406?\nAnswer: -1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3)\/(o*o\/o**(-12)*o))\/(o\/o**21*o**(-15)))**(-4\/3) assuming o is positive.\nAnswer: o**(-248\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3733510 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - l**2 - 5*l + 2279. Is f(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 2*l + 3*l + (-131 - 80 + 135 + (3 - 3 - 2)*(0 + 2 + 0) - 2 - 3 + 4)*(40 - 25 - 17)*(-3 + 3 + 2*l) to v*l + g and give v.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 428277\/52712 - -1\/6589. Find the common denominator of y and -83\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -0*j - 2387. Let i = -93 - j. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -18*q + 5. Suppose -k = 5*g + 16, 0 = 5*k - 5*g - 2 + 52. Is s(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 4873, -31, -1 in decreasing order.\nAnswer: 4873, 36, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(833) + (-3 + sqrt(833) - sqrt(833)))*-6.\nAnswer: -18 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 517\/38 + -192\/19. Let k(y) be the first derivative of 0*y + 3\/2*y**4 - u*y**2 + 0*y**3 + 2. What is the second derivative of k(n) wrt n?\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/2 - 9) + 308 + 20286?\nAnswer: 3, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099 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: What is -730.1 times -0.1?\nAnswer: 73.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 778641812 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 18*i + 3 + 17*i)*(-3*i + 6*i - 2*i).\nAnswer: -i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 476?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176946.3 litres in millilitres?\nAnswer: 176946300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 7.6324.\nAnswer: 8.6324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-3) - 3)\/(-1). Suppose -a = m - 2*m. Let h be ((-1)\/2 - 0)*6. What is the second smallest value in h, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1427*w - 26879.\nAnswer: 1427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from innnnnninmmnninnimnn. Give prob of sequence ii.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 3*i - 1. Calculate the remainder when j(4) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38\/11 - -690\/187. Let -s*t**4 + 6\/17*t**2 + 2\/17*t**3 - 2\/17 - 2\/17*t = 0. What is t?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -2\/435, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c + 8 = 26*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 5*n**2 + 6*n - 3. Let k(s) = -s**3 + s**2 + 2*s - 6. Suppose 0 = 2*g - a - 1, -5 = -g - 2*a + 3. Let o be k(g). What is f(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y - 195 = 4*m, 117*m + 48 - 163 = 3*y + 121*m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 32 = 544. Suppose r + 50 = 2*c. Let f = c + -52. Solve f*g + 4*w - 5 = -w, -5*g = 2*w + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/((-60)\/32 - (-19)\/(-152))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**3 - 6. Let s(l) = 2*l**3 + 3. Determine -4*p(a) - 7*s(a).\nAnswer: -2*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 1\/120*o**6 - o**2 + 0*o - 1\/15*o**5 + 0 - o**3 + 1\/6*o**4. Let t be p(4). Solve -3*i + t = 2*l, 0*i = l - i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Suppose 10*o - 12*o - 180 = v. What is the remainder when (8 + -1)*o\/(-105) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssossfosss. Give prob of picking 1 s and 1 f.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -4 - -4)\/((-12)\/12630). What is a rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -2*n - 3*i + 28, 4*i = 3*n + 19. Suppose -4*c = 2*u - 36, 3 = 4*c - 3*u - 13. Let m = c + n. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131 + -171. Let t = 340 + h. Calculate the highest common divisor of 342 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -a6?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*v - 16*v + 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22081 is divided by 6747.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*o + 44 - 198, -3*v - 3*o - 129 = 0. Let h = 47 + v. Let p(k) = 2*k - 7. Let y(r) = 1. What is h*y(n) + p(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294 and 94092348.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34678, 34462, 34246, 34030?\nAnswer: 33814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 2*y - 1. Let s(c) = -2*c**2 + c - 2. Let w(m) = -4*s(m) + 3*u(m). Let n be w(-4). Let k = -9 - n. Solve 0*r = 5*r - k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 1115*s + 15600.\nAnswer: 5*(s + 15)*(s + 208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173256 is divided by 220?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3472624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 23204033 (base 6) to base 4\nAnswer: 2232313311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2120.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -49 + 33 + -6 - 24\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 15156?\nAnswer: 333432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzkz. Give prob of sequence kf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*p + 9 - 9)*(17 + 87 - 9)*(2 - 2 - 2) to the form i*p + t and give i.\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -727 divided by 6.\nAnswer: -727\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.77511 and -0.4?\nAnswer: -0.710044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929920 to the power of 1\/2, to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 + 6168604*k**2 - 6168604*k**2.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/120 - 13*g**5\/20 - 37*g**4\/12 - 43*g**3\/3 - 129*g**2. What are the prime factors of s(-38)?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5793, -5792, -5791, -5790?\nAnswer: -5789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 2*z**2 + 17\/24*z**4 + 11\/6*z**3 + 0 + 0*z + 1\/10*z**5. Let v(h) = h**2 + 3*h + 2. Let s = 8 - 14. What is s*o(a) + 34*v(a)?\nAnswer: -2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4493933896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**5\/3 + 911*w**4\/3 + 7328*w**3\/3 + 22024*w**2\/3 + 29392*w\/3 + 14704\/3.\nAnswer: -(w - 919)*(w + 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0165*-0.04044\nAnswer: 0.00066726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxivvvjyv. What is prob of sequence xvi?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/3*(-144)\/176?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 33*g**2 - 6*g - 32. Let q(u) = -67*u**2 + 13*u + 65. Let z(m) = -13*b(m) - 6*q(m). What is the first derivative of z(d) wrt d?\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2040*y + 5. Let f be a(3). Suppose f = -2*o + 5*b, -32*b + 34*b = 2*o + 6140. Round o to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0344 from -31.\nAnswer: -31.0344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1104 + 3252?\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let f be d(-4). Suppose -4*a = -a - 12. Put -2, a, f in increasing order.\nAnswer: f, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 10. Let t = -25 + n. Let p = 6 - 4. What is the nearest to p in -2, t, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2660 divided by 5\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117041?\nAnswer: 117041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364 divided by -26.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, 5, 3, -2\/5, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5079*v - 5089*v - 4*v**3 - 5089*v + v**2 + 15257*v.\nAnswer: -4*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27966, -223838, -755556, -1791042, -3498218, -6045006, -9599328?\n\"Answer: -27987*d**3 - d**2 + 40*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**2 + 975*r - 16956. Calculate d(119).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w + 76. Let k = 496 - 488. Let l be h(k). Solve 0*u + l*u - 4*m + 12 = 0, 15 = -4*u + m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*s**2 - 236*s**2 + 77*s**2 + 83*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -101*u + 12. Let b be s(-5). Suppose 5 - b = -4*a. Suppose j - 5*j + 108 = t, a = 4*j - 4*t. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3 - 1.3. Let m = 4.1888 - l. Let y = m + -0.2. Round y to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/8))**(-44)\/(c*(((c*(c*c**(1\/2)*c)\/c*c)\/c)\/c)\/c)**31 assuming c is positive.\nAnswer: c**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -463 + 499. Differentiate -131 + 71 - 178 + 3*m + f*m**2 - 31 with respect to m.\nAnswer: 72*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - 6*t**2 + 2*t + 4. Suppose -a - 3*a + 20 = 0. Let u be s(a). Suppose 4*m - 34 = -f + u, 4*m = -5*f + 148. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68882 is divided by 11480.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.00576km?\nAnswer: 3005760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -278 by -1.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 3 (b) 4\/7 (c) 1\/2 (d) 0.2 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -61293*s**4 - 240*s**2 + 73139. Let t(x) = -36776*x**4 - 140*x**2 + 43883. Let d(k) = -7*i(k) + 12*t(k). What is the first derivative of d(p) wrt p?\nAnswer: -49044*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 71628928.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**3\/6 + 13*v**2\/2 + 13*v. Let y be k(9). Solve -y*d + 4 = -0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 39*l**3 - 6*l - 6. Let g(k) = 78*k**3 - 13*k - 13. Give 6*g(w) - 13*v(w).\nAnswer: -39*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2136741.\nAnswer: 3, 131, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*q + 156, 0 = -5*q - 2*o - 2*o - 391. Let n = -43 - q. What is the remainder when n is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116200 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 873\/7 + -125. Which is the second smallest value? (a) j (b) 0.1 (c) -0.8 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**3 + 2*d**3 + d**3 - 98*d**2 - 3*d**3 + 98*d**2 + d - d - 2*d**3 + 0*d + 0*d + d**3 + (-d + 2*d**2 + d)*(-d - 4 + 4) + 2*d**3 - d**3 - 2*d**3.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262146 is divided by 171.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1387 = -444*m + 3607 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 174053*q. Let d(i) = 2*i. Determine m(d(l)).\nAnswer: 348106*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 1. Let l = 121 + -171. Let q = -41 - l. Calculate the greatest common divisor of q and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1072404 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -14127055 - -27690\nAnswer: -14099365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64\/13, -3\/10, -2.3 in ascending order.\nAnswer: -2.3, -3\/10, 64\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56\/(-21) - -3 - 196\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 12 = -5*t, -2*l - 3*l + 20 = 5*t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(76) - sqrt(76)*2))\/(sqrt(20)\/(sqrt(5)*-2 - sqrt(5))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 15 = -3*w, 0 = 5*b - 0*w - 4*w + 21. Let s(p) = 1. Let n(o) = -3*o + 22. Let q(a) = b*n(a) + 6*s(a). What is the units digit of q(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114741 + ((-56)\/(-24) - (-3)\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1719*g**3 + 19439*g**3 + 800*g**3 + 1263*g**3 + 6237*g**3.\nAnswer: 29458*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002387 to seven decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d - 6. Let f(s) = -s - 1. Let z(o) = 6*f(o) - u(o). Let g(r) = -10*r - 2. Let n(w) = 21*w + 5. Let v(m) = -5*g(m) - 2*n(m). What is z(v(b))?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.08 - -1.28. What is the smallest value in w, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 18*p**2 + 18*p - 15. Let d be k(17). Solve -2*z + d*o - 7 = 3, -3*z - 3*o + 3 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497.5554 hours in minutes?\nAnswer: 29853.324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2663.889ng to kilograms.\nAnswer: 0.000000002663889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**2 - 15*r + 1039. Let d(t) = -2*t**2. Give j(d(o)).\nAnswer: 28*o**4 + 30*o**2 + 1039","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17 and (10\/(-4))\/5*-10.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 856 and 37691178.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j + 30 = 0. Let l = -19 + j. Let g be (-4)\/10 + l\/(-10). Is g != -1\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79153 to the power of 1\/2, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144889.\nAnswer: 144889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/13 (b) -0.066 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13791*d**3 - 10*d - 6906*d**3 - 6916*d**3.\nAnswer: -31*d**3 - 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4)*y*((y\/y**(1\/11)*y)\/y)\/y*(y\/y**0)**0)**(-1\/12))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 651*z - 5142. Let b be y(8). Sort 3, 0.5, -1\/4, 2\/5, b in decreasing order.\nAnswer: 3, b, 0.5, 2\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/6)\/(-54)*15*357*9\/(-45)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -141, -22, 2.7747?\nAnswer: 2.7747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 30115*j. Let v(u) = -16*u**2 + 56. Determine v(d(l)).\nAnswer: -14510611600*l**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29070 + -29056. Calculate the remainder when 746 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 + (106 - -99) - 73\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, o: 4, s: 2}. What is prob of picking 1 q and 1 s?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2. Suppose 4*a = a + 6. Suppose 6 = 2*z + d, -7*z + 2 = -2*z - 4*d. Let u(x) = z - a + x. Determine u(s(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**3 + 18*g**3 + 7*g**3.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 7. Let n be a(2). What is the closest to 8 in -0.2, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 0*v**7 + 0*v**6 + 0 + 1\/12*v**4 - 53\/28*v**8 - 3\/2*v**2 + 0*v**3 - 209*v + 0*v**5. Find the third derivative of g(r) wrt r.\nAnswer: -12720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1838488 and 0.06.\nAnswer: 1838488.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a + 4*a - 40*a - 16*a**2.\nAnswer: -16*a**2 - 49*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-8)\/2)*(-23)\/((-5865)\/(-30))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 25*b - 104. Give o(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Suppose o + 2*o = 126. Suppose -r*i = -2*a + o, 0*i - i = -5*a + 150. Calculate the remainder when a is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.06. Let j = o + 0.06. Let y be 6\/(-32)*-8 + (-26)\/4. What is the nearest to 2\/3 in j, y, 2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-28))\/(84\/98). Let g = 22 + -8. Let m = g + 3. Sort x, -3, m in increasing order.\nAnswer: -3, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -q + 6*q + 13, q + 2*g = 0. Let s = q - -4. What is the second derivative of -2*y**5 + 0*y - y + s*y wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 + 437 = 4*k. Let f = -486 + 504. What is the lowest common multiple of k and f?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 4:36 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**26\/o)*o)\/o)\/o**(-31))**(-26) assuming o is positive.\nAnswer: o**(-182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006061 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o. Let r(p) = -800*p**2 + 4*p. Give y(r(t)).\nAnswer: -2400*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhthhthhhhhhpghkghhh. What is prob of sequence kgp?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.277 + -1.277. What is the fourth biggest value in -13\/5, k, 3\/2, -2?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3935 + 47225\/12. Let u(m) be the second derivative of 0 + 0*m**3 + i*m**4 + 31*m - m**2. Determine u(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216a203 (base 11) to base 7.\nAnswer: 44226653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/840*-14*125\/(-2100).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305660 divided by 310.\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9707945*l**3*r**3 + 9447527*l**3 wrt r?\nAnswer: -29123835*l**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -82*j + 4. Let c(s) = -303*s + 13. Let v(x) = -2*c(x) + 7*h(x). Let m(l) = -2*l + 21. Give v(m(u)).\nAnswer: -64*u + 674","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 - 2)*(-6*l**4 - 3625*l**2 + 44*l**4 + 3614*l**2) to p*l**2 + n*l + m*l**4 + z + q*l**3 and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8609 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 6:16 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -a - 4*a. Let n be a\/(-16) + (-2)\/(-4). Suppose 0 = y - 3*h - n, 3*y - 6 - 9 = 5*h. Calculate the smallest common multiple of 4 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 352 - 128 = 0. Let k(x) = u - 131 - x**2 + 85. Let f(n) = n**2. Give k(f(q)).\nAnswer: -q**4 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zidoboez. What is prob of sequence zbz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/115)\/((-2)\/(-4)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 265 - 827 = 0. Suppose a = i + 13. Let g(n) = 3*n - 15. Let d(x) = x - 4. Determine i*d(o) - 4*g(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3755841 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -19*p**2 + 7*p - 28. Let c(j) = -5*j**2 + 2*j - 8. Let r(z) = 7*c(z) - 2*k(z). Let s(f) = 62*f**2. Give r(s(n)).\nAnswer: 11532*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/155980 and -115\/46794.\nAnswer: 467940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 248140510 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(4 + -2) - -2. Suppose -i*u = -3*h + 9, h - 2*u + 1 = 2. Solve 0 = 5*y - 3*g - 17, 22 = h*y + 6*g - 4*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - (-21 + 17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184)\/(-405444)*1183\/(-91).\nAnswer: -2\/339","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 104\/610575 and 6\/1017625.\nAnswer: 3052875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6100\/3729 - 2\/3729. Let k = -295\/187 - z. Let o = -53\/34 + k. Put 4, -0.4, o, -4 in descending order.\nAnswer: 4, -0.4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31002223 (base 4) to base 3\nAnswer: 2201021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)\/j)\/j**(2\/41) assuming j is positive.\nAnswer: j**(-641\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 11, -23, 50, 1, -2 in decreasing order.\nAnswer: 50, 11, 3, 1, -2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 1 - (-2541)\/(-24). Let s = d + 106. Let u = -2655 - -34517\/13. What is the biggest value in -1\/2, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477.9471nm to micrometers.\nAnswer: 0.4779471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h - 36 = -4*i, 3*i = 3*h. Solve -5*l - i = 3*d, 0*d - 10 = 5*l + 5*d for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -44, -190, -470, -926, -1600, -2534?\nAnswer: -3770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 1. Let n(h) = -1. Let d(u) = -2*l(u) + 6*n(u). What is d(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21095 is divided by 134.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3. Suppose 5*b + 30 = 5*f, s*f + 4 = b + f. Let x = b + 2. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7688592 divided by 4?\nAnswer: -1922148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - -391\/5. Let p = -331 + 328. Put w, p, -0.9 in decreasing order.\nAnswer: w, -0.9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162357 and 6486?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 4\/7, 1, -1\/7, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 6:55 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 71*h**2 + 112*h + 34. Let q(j) = -25*j**2 - 38*j - 11. Let n(w) = -6*i(w) - 17*q(w). Determine n(-17).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15001?\nAnswer: 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 14*u**3 - 146*u**2 - 19. Let h(f) = 15*f**3 - 122*f**2 - 19. What is 6*h(s) - 5*r(s)?\nAnswer: 20*s**3 - 2*s**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73806982.\nAnswer: 2, 19, 797, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.501292um to kilometers.\nAnswer: 0.000000005501292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, d: 15}. What is prob of sequence dhdh?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4) - 95\/20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**10*x)*x)\/((x\/x**12)\/x))**48 assuming x is positive.\nAnswer: x**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13844448 and 11925.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 13 - (4 - (13 + 3 + -4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-1\/2)\/h)**(-1\/83)*(h\/h**(-3)*h*h)\/(h\/h**(-2))*(h*h**(-3\/2))\/(h\/h**(-1))*(h**(1\/2)*h)**(-44) assuming h is positive.\nAnswer: h**(-5437\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -21. Suppose 3*x = w*t - t + 12, -5*x = -25. Suppose -7 = -4*f + 13. What is the nearest to -2 in t, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1293*z + 1282*z + 66 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 735\/(-10)*4. Let q = x + 874\/3. Which is the biggest value? (a) q (b) 1 (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11bb1 - -1?\nAnswer: 11bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5509 + 4*q + 3676*q**3 - 2*q**2 - 4*q - 4612*q**3 wrt q?\nAnswer: -5616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084214?\nAnswer: 2, 61, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izff when four letters picked without replacement from fzzikifiikifkiikiki?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0*b - 2*b + (1 - 5 + 3)*(3*b + 2*b - 6*b) - 49*b - 25*b + 3*b)*(2*b**3 - 2*b**3 - 2*b**3).\nAnswer: 142*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 140991, 282009, 423027, 564045, 705063?\n\"Answer: 141018*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 14*t**2 - t**2 - 8*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3\/3 - 5*d**2\/3 - 10*d = 0. What is d?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -307 - -651. Let t(c) = -c**3 - 8*c**2 - 10*c + 16. Let n be t(-6). Suppose 170 = -0*p + 2*p - 2*v, -2*v = -n*p + f. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/3*(-32 + 11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 2*w. Let z be g(5). Let y = 18 + z. Solve -5 = -y*u + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*p = 3 - 12, 3*i + 12 = -3*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)\/o*o)\/(o*o**15) assuming o is positive.\nAnswer: o**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180034450.\nAnswer: 2, 5, 3600689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -6, 47 in increasing order.\nAnswer: -6, -2, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 9*n**2 - 9*n + 22. Let u be v(5). Suppose -189 + u = r. What is the remainder when 648 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 84. Let v = d + 585\/7. Let 11\/7*s + 2\/7 + 13\/7*s**2 + v*s**3 = 0. What is s?\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/11 (b) 2\/205 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 less than -963\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3057700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 140*b**2. Let p(z) be the first derivative of 2*z**2 - 6. Determine p(a(x)).\nAnswer: 560*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5225468 < 5225466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 2*f + 50. Calculate q(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 420 + -361. Let f = t + -16. Calculate the remainder when f is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 14*f + 40. Let p be r(-4). Suppose p = -q - 5*z + z + 6, 28 = 3*q + 2*z. Is q at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -12 + 4 - 5 - n. Let b(m) = 7742*m - 7741*m + 0 + 1 + 5. Determine -9*b(q) - 4*l(q).\nAnswer: -5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1279*n + 7. Let a be y(6). Let v be (2 - (-141)\/(-72))*184130. Let t = v + a. Calculate the common denominator of -57\/22 and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.902 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h - 19*h = -6 - 8 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-15))\/((-2)\/36*-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.007 + -1. Let a = n + -0.027. Let r = -0.12 - a. What is the biggest value in -6\/7, -4\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2380 + 2393. Solve b*c + 8*c - 7*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 1. Let k be c(-3). Let i(n) = -3*n**3 - 5*n**2 + 4. Let f(s) = s**3 + 3*s**2 - 2. Let a(v) = k*f(v) + 3*i(v). Differentiate a(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 5. Let x be z(3). Let f(s) = s**3 - 3*s**2 - 2*s + 1. Let y be f(3). Suppose v = 4*v. Sort y, x, v in decreasing order.\nAnswer: x, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (6 - (9 - -4) - -15).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 8 + 2 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 1374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.5, -10\/23, 10\/3?\nAnswer: -10\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -cc (base 15) to base 2\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58980 is divided by 5687?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2. Suppose 2*w + z = 2. What is the lowest common multiple of 3\/(22\/16 - w) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879214294 is divided by 289?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 3) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 6*g**2 - 6*g - 6. Let b be r(7). Calculate the remainder when 456\/18 - b\/3 is divided by 3 - -1 - (-3 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21180499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2083 - 45899\/22. Find the common denominator of -61\/12 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 7. Let b(n) = 8*n. Let k(d) = d. Let z(o) = -b(o) + 10*k(o). What is z(r(l))?\nAnswer: -2*l**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55 + -654?\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-6*sqrt(10) - sqrt(10)))\/(sqrt(24)\/sqrt(1728)).\nAnswer: -504*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31839?\nAnswer: 3, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04878717 rounded to four dps?\nAnswer: 0.0488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -175597689\nAnswer: 10535861.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 238*o*y**3 - 8*o*y**2 + 11351*o*y - 264004765*y**3 wrt o?\nAnswer: 238*y**3 - 8*y**2 + 11351*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3029 (b) -6 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 264498.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*z**6 + 22812*z**3 + 3*z**2 + 2*z + 20458.\nAnswer: -960*z**3 + 136872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1573))*4)**2.\nAnswer: -1408*sqrt(13) + 25424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-6)*(-12)\/(-10). What is the second derivative of -8 + 8 + 3*k - 2*k**x wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104474 = -17*b + 1419. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 4 + 0*g**3 - 1\/80*g**6 + 0*g + 17\/20*g**5 - 289\/16*g**4 - 9*g**2. Factor z(a).\nAnswer: -3*a*(a - 17)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-4)\/h))\/(h*h**(-6)*h))**(-1\/13)*((h*h**(-2\/13))\/h**(3\/4))**(-44) assuming h is positive.\nAnswer: h**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-2 + x + 2)*(10 - 10 + 2*x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - h**2 - h - 1. Let t(z) = 5*z**3 - 6*z**2 - 5*z - 6. Let k = -15 + 16. Let w be -2*1 + (8 - 12). Calculate k*t(u) + w*c(u).\nAnswer: -u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -4\/329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*u - 7526 = 11*u - 39*u. Solve -47*b + 88 = -u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2777 is divided by 70?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + (-13)\/(-2))\/((-6)\/4). Sort -8\/5, h, 2 in ascending order.\nAnswer: -8\/5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -5. Suppose 0 = h + 2*f - 14, 10 = -f + 3*f. Suppose -5*d - 2*p + 20 = -h*p, 3*d + 9 = -a*p. Solve 2*l = 5*o + 7*l + 30, -o + d*l + 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p + 2*p)*(-23 + 23 + 52)*(0*p + 0*p + 3*p**3).\nAnswer: 156*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 - -245. Let n = b - -25. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155\/(-450) - (-8)\/18.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15895 and 120646229.\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, 2\/19 in ascending order.\nAnswer: 2\/19, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48648657?\nAnswer: 3, 23, 705053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-220)*-8)\/(243\/7695)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than 101328\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*n*z**5 - 31*n*z**4 + n*z**2 - 4055*n + 363*z**3 + 21*z**2 - z - 3 wrt z?\nAnswer: -900*n*z**2 - 744*n*z + 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-10 - -4) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 4. Let l be m(5). Let h = l - -10. Let z be -4*h*(-4)\/(-24). Which is the second smallest value? (a) -1 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 119*a*m**2*p**3 - 3213*a*m*p**3 + 454601*m**2*p - 29*m*p**3 - 3*m*p wrt a?\nAnswer: 119*m**2*p**3 - 3213*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 2, a: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690 = -2*q + 5*m + 369, -4*q + 2125 = -3*m. Does 59 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166 and 581?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - c + 0*c - c**2. Suppose -14*h - 1 = -15*h. Let l(v) = -v**2 - 9*v - 14. Let j be l(-5). Let p(n) = 7*n**2 - 6*n. Determine h*p(g) + j*i(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95*m - 95 wrt m.\nAnswer: -95","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33207 - -33203. Which is the nearest to 9.2? (a) 0 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.05 + -15. Let d = -2.05 + z. Put 4\/5, d, -7 in descending order.\nAnswer: 4\/5, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(208) + 2)**2 - (2*sqrt(65)*1)\/sqrt(5).\nAnswer: -18*sqrt(13) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 540 + -536. Solve -4*p + o = -4*n, 9 = -5*p + 3*n + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46\/3 + -16. Let m = 0.29 - -0.01. Put m, -1, y in decreasing order.\nAnswer: m, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + l - 2 + (-2 - 2*l + 2)*(6 - 2 + 0) - 114*l + 2 - 5 + 0.\nAnswer: -121*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/8 and 43\/1101.\nAnswer: 8808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) -0.2 (c) -3.7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 832422 divided by -277474\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5\/3 + 2720*g**4\/3 - 302222*g**3\/3 + 7952020*g**2\/3 = 0?\nAnswer: -1465, 0, 46, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three sixths of a century?\nAnswer: 8600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, 56, 158, 308, 512, 776, 1106?\n\"Answer: j**3 + 15*j**2 + 8*j - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11763605 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2\/11, -14, 8\/3, 0.2, 0.14?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1 = 16. Let d = 9 + -5. Let c = t + d. What is the closest to c in -0.5, 2, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2920096.\nAnswer: 2, 91253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 414610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 20 + (7 - 14) - 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5*((sqrt(55)*-1)\/sqrt(11) - (sqrt(25)\/sqrt(5) - sqrt(5))*6))**2 + 5).\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/4)\/(2985\/(-16716)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 4*i**2 - 3*i. Let y be r(2). Suppose 2 = -t - s + 3*s, 0 = y*t - 5*s + 6. Find the first derivative of 0*o**2 - 2*o**2 - 3 - 2*o**t wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 + 171*i**2 - 6037*i\/2 + 11847.\nAnswer: (i - 11)*(i - 6)*(i + 359)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0682 + 1.9318. What is the nearest to -15\/7 in -4, w, 2\/21, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 4*w - 505 - 57. Calculate the greatest common divisor of w and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -491 * 0.367.\nAnswer: -180.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3 + 3. Let h(v) = 0*v**2 - 116*v + 115*v + 5*v**3 - 4*v**3 - 1 - v**2. Give h(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d - d**2 - d**3 + 1 - 6 - 8*d**2 + 2. Calculate the remainder when s(-10) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 7:53 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 637, 5, 0, -319 in increasing order.\nAnswer: -319, 0, 5, 637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2. Let n(m) = -15*m**2 + 35*m**2 - 17*m**2. Determine n(x(y)).\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l - 6. Give k(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 0 + 1303*j - 173*j - 6115*j - 1514*j.\nAnswer: -6499*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20, 142, 362, 680?\n\"Answer: 49*i**2 - 25*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 70*a - 627. Let l be t(-59). Solve 0 = 3*v + 2*n - l, -5*v + 5*n + 24 = 4 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of -1\/360*z**5 + 109 + 0*z**4 - z**2 + 0*z + 1\/36*z**3. Factor c(w).\nAnswer: -(w - 1)*(w + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 30*c**3 + c**2. Let s(y) = y + 1. Let j be s(0). What are the prime factors of u(j)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000381333 to seven dps.\nAnswer: 0.0000381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 195912602 to the power of 1\/2, to the nearest integer?\nAnswer: 13997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7056 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*f + 5*i - 1, -3*f + 20 = -i. Put f, -5, -1 in ascending order.\nAnswer: -5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - x = -0*x + 11, 3*x = 4*h - 27. Let n be 3 - (-1 + 39\/(-3)). Let t = 29 - n. Calculate the lowest common multiple of h and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -3481*n**6\/120 - 320*n**4 - 2*n**2 - 40*n + 6. What is the second derivative of d(q) wrt q?\nAnswer: -20886*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*j**2 + 6 + 5*j**2 + j in the form i*j**2 + v + m*j and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 2*o + 5*o)*(-7 + 0 + 0 + 18 - 11 + 29 + (0 - 2 + 1)*(-3 + 1 + 4) + 3 + 2 - 7) in the form b + w*o and give w.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*4 - (-41 - -41))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 987*h - 982*h + 27, 5*q - 2*h = 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011 (base 2) in base 3?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -8, 3, 2, 1 in increasing order.\nAnswer: -49, -8, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3428*a**3 - 1568*a**2 + 6. Let q(k) = -1143*k**3 - 522*k**2 + 2. Let x(o) = -16*q(o) + 5*r(o). Find the third derivative of x(g) wrt g.\nAnswer: 6888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7952 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 106*q - 13. Let r(s) = 294*s - 40. Give -6*r(t) + 17*y(t).\nAnswer: 38*t + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 1\/60*h**5 + 16*h**2 + 0*h + 1\/3*h**3 + 0 + 5\/24*h**4. Determine l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (6 - 4) - 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 2 (c) -18\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4114160 (base 8) in base 6?\nAnswer: 35151104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 230.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 13 - (-13 + 1) - -22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3218 + -2217. Calculate the highest common divisor of 1232 and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 2, q: 1, i: 1}. Give prob of sequence xi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 211021010 (base 3) in base 15?\nAnswer: 4c20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 3. Let x(u) = 3*u + 29. Let j be 1\/((-10)\/(-12) - 1) + -2. Let t be x(j). Calculate i(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 44321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o - 8787 = -49*o. Let p = 306 - o. Solve -2 - 3 = z - 4*w, 1 = -p*z + 5*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*u + 164, 2*u = -3*i + u + 232. Calculate the remainder when i is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.395 + -126.605. What is the smallest value in y, -6, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 3*h - 1. Let r be (2 + (-10)\/(-1))\/(3\/28). Suppose -x + r = -5*x. Let l = x - -24. Determine q(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n - 77*n**2 - 72*n**2 + 148*n**2 + 2*n + 3 as j*n**2 + i + v*n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i - 4. Let w be -1 - (-2 - 0) - 4. What is the units digit of v(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v**3 + 15 - 55 - 21*v**2 + 18 + 15 + 12*v**3 + 28*v. Let u be k(9). Solve 6*p - 3*p - 3 = -2*t, t = -p + u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 76 = -10. Suppose -5*j - 14 = k - x, -3*j + 14 = 4*k. Suppose 0 = -t - t + j. Is t even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7946186 less than -7440.6?\nAnswer: -7953626.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-12)*(-24)\/63\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i - 5. Let t(q) = -2*q + 1. Give 2*n(x) + 11*t(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8 = -g + 13, 4*s - 5*g + 11 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/131112 and 1\/189.\nAnswer: 917784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -6, -5.\nAnswer: -77, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g - 863 = -5*y, 0 = 2*y - g - 347. Let m be 2*(-3)\/(-2) + -12 + 156. Suppose -5*v = -y - m. What is the highest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 55 - 9 + 3*i + 117.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 12*n**2 + 5*n - 2 - 3*n + 2*n to the form x*n**2 + g + b*n and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*f + 0)*(-517 + 353 + 334)*(8 - 31 + 1) to the form p*f + u and give p.\nAnswer: 7480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 4*g**2 + 3*g - 8. Let i(t) = t**3 - 3*t**2 - 3*t + 7. Let v(h) = 2*f(h) + 3*i(h). What is the remainder when v(3) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*r**2*u**3 - 64*r**2*u - 199*r*u**2 + r*u - u**2 wrt u?\nAnswer: 48*r**2*u - 398*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -63*i + 26 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 1. Let c be q(-5). Let a be 35\/c - 2\/(-8). Suppose -3*p = -a, 4*n = p - 3*p + 38. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.4 + -27. Let j = -0.032 + -0.168. Let y = -6 + 19\/3. Which is the smallest value? (a) u (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and 0.16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 67 + 153 = 0. Let h = -37 + c. Suppose -h = -q - q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**2\/5 - 8931*h\/5 - 387156\/5 = 0. Calculate h.\nAnswer: -2933, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 + s**2 - 8121*s**3 + 8120*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 32 = 0, -6*l - 9*c = -2*l - 136 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i - 5. Let u(t) = -t - 1. Determine -3*u(y) + w(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 31 - ((69 - -11) + -33)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 8*s**2 + 9*s. Calculate u(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - i + 6*i - 3*i. Suppose -5*g + 3*b - 12 = 23, -41 = 4*g - 5*b. Let c(u) = -u**2. Let p(d) = 3*d**2. Let r(f) = g*p(f) - 9*c(f). What is x(r(a))?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -0.1. Let a = m - 0.94. Let x = -0.46 + a. What is the biggest value in 0.1, x, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 9:57 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 236127883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -12*n. Suppose 2*f + 42 = -4*f. Let k(b) = -6*b**2 - 4*b - 4. Let a(c) = 11*c**2 + 7*c + 7. Let p(o) = f*k(o) - 4*a(o). Determine j(p(m)).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(77) - -1*sqrt(77) - sqrt(77)))\/((2*sqrt(63))\/sqrt(9)).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 5691.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - 10*a**2 - 6*a + 13. Let q be y(-4). Suppose q*t - 659 - 164 = -m, -4073 = -5*m - 4*t. List the prime factors of m.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.4297 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/26*((-21)\/((-1176)\/16))\/(-1)*14.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**2 - 4. Let k(o) = 4*o**2 - o + 3. Let y(w) = 3*f(w) + 4*k(w). Let h be y(5). Solve -2*m + 2 = z, -3*m = z - h*z - 25 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -15 - 5. Let v = w + 8. Solve -f + 8 = -v*h + 23, 0 = 2*h + 4*f + 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 0*f - 21*f + 11*f. Let q be j(-15). Suppose -15*p = -17*p + q. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(60\/(-18))*(-696)\/(-54810)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*l**2 + 38 - 75 + 37.\nAnswer: -414*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 b when four letters picked without replacement from mbmbb?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/143 (b) -1\/3 (c) 1 (d) 3790\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 4090359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m**2 - 5*m + 7. Let g(i) = -14*i + 1 + 19 - 21*i**2 + i**2. Suppose -5*h = -5*w - 25, 3*h = -h - 4. Determine w*g(z) + 17*r(z).\nAnswer: z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-110)*17 + 22\/(-121). Let p = s - 3\/20. What is the third biggest value in 2\/5, p, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*b**3 + 294*b**3 - 119*b**3 + 129*b**3.\nAnswer: 383*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**8\/26880 + b**7\/10080 + b**6\/2880 - b**5\/480 - b**4\/8 - 2*b**2. Let w(r) be the second derivative of s(r). Factor w(k).\nAnswer: -(k - 1)**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162457598, -162457597, -162457596, -162457595, -162457594, -162457593?\nAnswer: -162457592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*a*k + 107*a + 24882*k - 2 wrt a?\nAnswer: -16*k + 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.192 + -9.192. Which is the fourth biggest value? (a) w (b) 1\/5 (c) -3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 18*i + 10. What is the tens digit of r(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n - 7. Let k = -48 + 174. Let b be 64\/(-11) + (k\/33 - 4). Calculate y(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*0\/1 + (-74)\/12. Let p = c - -20\/3. Let 3\/4*w**2 - p*w + 0 = 0. What is w?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41 and 5526841.\nAnswer: 5526841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1484, -1, 4, 13, -481 in increasing order.\nAnswer: -481, -1, 4, 13, 1484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0*s*s)**1\/(s\/((s*s**(2\/13))\/s)*s**1) assuming s is positive.\nAnswer: s**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:35 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(640) + sqrt(640)*2)\/(sqrt(8)\/(sqrt(4) - ((sqrt(4) - sqrt(4)*-1) + sqrt(4)))) + 3 + (sqrt(320)*4*-4)**2.\nAnswer: -48*sqrt(5) + 81926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/12 - (-2)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2679, 5395, 8113, 10833, 13555, 16279, 19005?\nAnswer: 21733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 9*v - 2. Let r be z(3). Let l = 5 - 3. Suppose -l*g + 4 = 4*q, g = -4*g - 4*q + 4. Solve g*u = -5*u + r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82024593 to the power of 1\/2, to the nearest integer?\nAnswer: 9057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 2*f - 1. Let m be h(-3). Let u(t) = 3*t - 2. Let s be u(m). Suppose -3*k = 3, s*k + 2 = -w - k. Solve i - w*n + 0*n = -7, -4*i = -5*n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h - 5. Suppose 14*n + 3 = 11*n. Let q(u) = -u**2 + 2*u + 1. Let x(m) = n*q(m) - g(m). Suppose x(o) = 0. What is o?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 5 - (-1 + 0 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 r, and 1 j when three letters picked without replacement from zddjdqrrqd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1166 - 1?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3511*u**2 - 326. Let c(a) = -4*a + 5. What is t(c(j))?\nAnswer: -56176*j**2 + 140440*j - 88101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -55, -43, -15, 35, 113?\n\"Answer: x**3 + 2*x**2 - x - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, f: 1, a: 2, n: 1, s: 1, b: 1}. What is prob of sequence npp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -785 + 789. Solve 6*s + f = -14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -1a30f?\nAnswer: -1a31d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -3*d**5\/80 + d**3\/8 + 7*d. Factor u(l).\nAnswer: -3*l*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 69757.\nAnswer: 418542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 442, 108, -804, -2582, -5514, -9888?\nAnswer: -15992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/65305 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**2 + 42*i = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371045236 to the nearest integer?\nAnswer: 19263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -u - 5*t, 22*t - 11*t - 52 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 0 + 4*d + 3 + 0*d**2. Suppose 0 = 42*k - 50*k - 40. Determine i(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + -1*sqrt(5).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 + 82.75. Let r = -3.7198 + o. What is r rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19, 21, 37, 73, 135, 229, 361?\n\"Answer: p**3 + p**2 - 8*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1027137, -1026169, -1025201, -1024233?\nAnswer: -1023265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:55 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*h**3 - 3*h**3 - h**3)*(2*h - 2*h + 4*h).\nAnswer: 28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 0*x + 2*x)*(4 - 9*x - 4)*(-4 - 2 + 4 + (-3 + 1 + 4)*(-3 + 3 - 2) + 3 - 5 + 1)*(2*x + 11*x + x)*(-4 + x**2 + 4).\nAnswer: -1764*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7552109t?\nAnswer: 755210900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41684 is divided by 492?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 12. Let f be (-3)\/(-6)*(o - -4). Which is bigger: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/126)\/(2\/(-28)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 - 47.98. Let c = 63 + -62.98. Let n = c - d. What is the closest to 1\/4 in 0.1, n, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = -17*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3*z**4 + 36*z**3 - 108*z**2 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 168305*v - 171989*v - 338928 for v.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13859164*y**2 + 20117410*y wrt y.\nAnswer: -27718328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 - -125.5. What is the closest to 2 in -0.03, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 4*l**2 - 29*l + 5. Give g(7).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423879.\nAnswer: 3, 229, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dba. Give prob of picking 1 a and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from albgllgbaililla. What is prob of picking 2 l and 1 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -71*m + 136 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -46 in descending order.\nAnswer: 0, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 - -0.1571015.\nAnswer: 0.1971015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 382 and 5479981.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1400 - 1394. Let n(d) = 2*d + 16. Determine n(i).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 + 1920*b**4 + 11568*b**3 + 23168*b**2 + 15456*b.\nAnswer: -2*b*(b - 966)*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1342, 5362, 12072, 21472?\nAnswer: 33562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -4. Let k be ((-1)\/2)\/(4\/(-248)). Suppose 41 + k = 3*b. Calculate the greatest common divisor of a and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(36\/9)*(-219428)\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36214212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - 92\/22 - ((-151858)\/77 + 9).\nAnswer: 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 38, 1\/6, 3, 2\/24381, 1\/3, 4, -4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208*l + 616 = -25*l + 125*l. Factor -16\/7 + 18\/7*i - 2\/7*i**l.\nAnswer: -2*(i - 8)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1722706 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 6161634 - 6161634.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -1202210?\nAnswer: -1202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 23221?\nAnswer: -23022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 9*z**2 - 16*z - 8. Let q be s(-7). Let n(o) = 3*o**3 - 4*o**2 + 5*o - 36. What are the prime factors of n(q)?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110499\/4 - 27605. Find the common denominator of t and 35\/5448.\nAnswer: 5448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 1\/((-5)\/(-3)). Let k = 1.0353 - 3.0353. What is the third smallest value in h, k, 2\/15, -2\/9?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -240, -5, 2, -4, 2\/43, -2 in increasing order.\nAnswer: -240, -5, -4, -2, 2\/43, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.28, 5, -1, -1.14, 1\/5?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24534 is divided by 4086.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 3459834813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 97*u**2 - 461*u + 101. Determine a(92).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 + (-4 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5708 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: 2067\/492 + (-901)\/212\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2804 - 2723. What is the fourth biggest value in n, 1\/5, 6, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 934?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, 0.04, 3, 0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249287 is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 21.1 (b) -4 (c) -624 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1*x)\/(x\/x**7))\/((x\/((x\/x**(-4\/5)*x)\/x))\/x**(-6\/5)) assuming x is positive.\nAnswer: x**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from {z: 1, u: 10, a: 4, p: 3}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = m - 3*j, 3*j + 1 = -2*m + 2*j. Let b = -7 + m. Are b and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 719531 and 785?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 374 = -4*a. Suppose -a = -2*c - 0. Calculate the remainder when 47 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101622512*y = -101622631*y + 9877 for y.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 - 770*c**3 - 765*c**2.\nAnswer: -5*c**2*(c + 1)*(c + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(98) + sqrt(98))*1 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/1)\/(-2 - -1). Solve -y = -2*o - c - 2, 2*c = 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -r + 1808010, 5*r - 17*j + 21*j - 9039992 = 0. Round r to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Let k be s(8). Suppose 0 = -3*j + 4*f - 4 + 14, -4*j - f + 7 = 0. Let o be (-2)\/j*(-2 + 1). Solve n + 3*u - 2 = -o, 5*n + 2*u = -k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222344 (base 6) to base 8.\nAnswer: 177530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -36. What is the first derivative of 4 + 9 + 4*r**3 + h - 6*r**3 wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -4. Let t(h) = 2*h**2 - h - 1. Let g be t(w). Let r be (((-42)\/(-98))\/((-48)\/(-448)))\/1. Solve -r*l = -l - g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21487, -42984, -64485, -85990?\nAnswer: -107499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(176)*6*2 + (3*-2*sqrt(132) + sqrt(132))\/(sqrt(60)\/(sqrt(5) + sqrt(5)*1 - sqrt(5))))*2)**2.\nAnswer: -344*sqrt(11) + 81360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 13\/402 (c) 0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 2*b**2 - 2*b**2 + (12 - 12 - 5*b)*(2 - 2 + 2*b) + 3*b**2 - b**2 - b**2 + (3*b + 0*b - b)*(0*b + b + b) + (4*b + 0*b - 2*b)*(-2*b - b + 2*b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3068 or -3069?\nAnswer: -3068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 - -109. Let u = 1613.94342 + -1659.9434286. Let g = f - u. Round g to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/190 and -109\/60?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -10. Let w = h + 4.5. Let p = 0.1 - -4.9. What is the third biggest value in w, p, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -27 - (36 - 70) - (-42)\/(-38). Factor -i*b**2 + 50\/19*b + 32\/19*b**3 - 6\/19.\nAnswer: 2*(b - 3)*(4*b - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-68)\/(-10) + 568\/(-710). Let v(i) = i**3 - 7*i**2 + 7*i - 7. Give v(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*y**2 - 356 - 12*y + 211 + 9*y + 145.\nAnswer: -14*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g = -25*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 57 = -c, -5*c = -5*m - 91 - 224. Suppose 28*n + 1394 = c*n. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -19. Which is the nearest to h? (a) 3 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 1:30 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4) + (5 - 6))*132. Let c be ((-20)\/14)\/(q\/231). Solve 3*m + 5*k = -15, -c*k - 5 = m - 3*k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a + 145. Give h(12).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 74?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/20*1*2\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5 - 5086*o**4 - 45920*o**3 - 40832*o**2 = 0?\nAnswer: -8, -1, 0, 2552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12604 - -13059. Which is bigger: c or 6818\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255200 to the power of 1\/2, to the nearest integer?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-178)\/(-267))\/((-2)\/(-18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 52\/6)\/(305\/(-15555)). Put b, 3\/4, -5 in decreasing order.\nAnswer: b, 3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 164 - 44. Which is greater: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(72) + sqrt(72))\/sqrt(4))**2.\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 1056?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llghwglrhhlgewwlll. What is prob of picking 1 h, 1 r, 1 e, and 1 l?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11395650 divided by 42.\nAnswer: 271325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 22 = -28*k. Let d(u) be the second derivative of -9\/2*u**k + 0 - 11*u - 8\/3*u**3. Differentiate d(c) wrt c.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6171) - ((sqrt(6171) - (-1*sqrt(6171) + sqrt(6171))) + sqrt(6171))) + (sqrt(510)*-1)\/sqrt(10))\/(5*sqrt(27) + sqrt(3) + 3*(sqrt(3) - sqrt(75))).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 2 in ascending order.\nAnswer: -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 93*q**2 - 4*q - 1. Let g(p) = 389*p**2 - 17*p - 3. Let l(h) = -4*g(h) + 17*w(h). Let d(a) = -12*a**2 + 2. Give 5*d(o) + 2*l(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwwwwxtqpwwpwwt. What is prob of sequence wwtw?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 6:58 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21217 - -15008. Let o = 1591 - z. What is o rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4571?\nAnswer: 7, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21097.179 times 0.7\nAnswer: 14768.0253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - x + 2 + 0*x)*(2 + 0*x**2 - 16 - 2*x**2) as f*x**2 + g*x**3 + y*x + z and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7033572 to the power of 1\/2, to the nearest integer?\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*u + 4*s, 4*s + 50 = 5*u + s. Suppose 0 = -4*n + 3*p - u, 4*n - 6*p + 12 = -2*p. Solve -2 = 3*y - 0*y - b, -2 = n*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.247*0.39833\nAnswer: -0.09838751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r - 1 + 6*r - 6*r)*(-9 - 13 + 4 + (-3 - 1 + 3)*(2 - 3 + 2) - 2 + 4 - 3).\nAnswer: -180*r + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 191531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 6*q**2 + 1. Let j be l(-3). Let w = -16 - j. Suppose k = -k + w. Solve k = 2*y - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1826\/9 - -1832\/9. Which is the closest to 2? (a) 5 (b) 7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*d**2 - d**2 - 10*d**2 + 46 + 24*d**2.\nAnswer: 41*d**2 + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105\/(-5)*17*(-3)\/9 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -51, -75, -99, -123?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66642 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -7. Is u at most as big as -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 172 - 290. Let b = -6415 - -70611\/11. What is the common denominator of q\/9*(-2)\/4 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -602, -611, -644, -713, -830?\n\"Answer: -2*f**3 + 5*f - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k + 2*k - 216 = 0. Solve 5*j + k = 2*g, 0 = -j + 3*g - 5*g - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4373, -10417, -16457, -22493?\n\"Answer: 2*s**2 - 6050*s + 1675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**5 - 137*o**4\/12 + 2*o - 59. Find the third derivative of m(n) wrt n.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*u + 153771 + 52890. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-12))\/(-4 + 35\/15).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-12)\/(-54))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 0. Suppose -y - n = -3*g, 2*g + 0*y - 3*y = 3. Let k be (3 + -3)\/(-1 - g). Solve 2*q - 10 = -k*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12211000 (base 3) in base 10?\nAnswer: 4239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 5. Let f be y(5). Suppose -2*j - 5*m + 16 = 0, -3*m + 9 + f = j. Solve 1 = -2*d - j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b + 4 + 7 + 14*b - 9.\nAnswer: -6*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**6\/120 - q**5\/15 + 3*q**4\/8 - 11*q**3\/6 + 2*q**2. Let c be t(-8). Suppose -2*p + c = -153. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 28*o + 57. Let r(a) = 27*a + 56. Let w(p) = 7*r(p) - 6*y(p). List the prime factors of w(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/7 - 499356*u - 436373725788.\nAnswer: -(u + 1747746)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 106984244 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28389\/10 + 2849. What is the common denominator of 39\/71 and f?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142113 and 2231286.\nAnswer: 1119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let u = 2 - g. Suppose 0 = -0*v - u*v + 27. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/30 - 32*i**4 + 12288*i**3 + 480*i**2 + 1. Factor h(t).\nAnswer: 2*(t - 192)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2620 (base 9) in base 6?\nAnswer: -13030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -777\/2 + 386. Let l = -0.9 - -1. Let m = l - 0.3. Which is the closest to 0.2? (a) -0.3 (b) m (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3560369032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (226\/1130)\/((-2)\/(-10)). Sort -223, t, 4 in decreasing order.\nAnswer: 4, t, -223","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*x = 58*x - 40 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 7:58 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -657517 or -657519?\nAnswer: -657517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12231 - 20411402?\nAnswer: -20424133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 126529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16840*p = -16851*p + 44. Solve p*a + 2091 = 2119 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9089, 9094, 9099?\n\"Answer: 5*u + 9084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242908, -485819, -728730, -971641?\nAnswer: -1214552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 492 - ((-4)\/(-12)*-6 - -1). What is the greatest common divisor of 68 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - 6*x - 4*x + 5 - 9. Let r(q) = 0*q - 17*q + 4 - 10*q - 19. Let s(m) = -15*p(m) + 4*r(m). Let w(n) = 4*n. Determine s(w(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 8. Let a be h(7). Suppose -1115 - 55 = -a*v. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 4273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2554 - 2553.4. What is the second biggest value in 6, n, -0.04?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**5\/5 + 363*v**4\/5 - 11754*v**3\/5 - 339564*v**2\/5 - 1205832*v\/5 - 1153152\/5 = 0.\nAnswer: -143, -16, -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48221.\nAnswer: 48221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y**2 + 6*y - 5. Let z(g) = 10*g**2 + 5*g - 6. Let k(b) = 6*o(b) - 5*z(b). Let r(s) = -2*s**2 - 6*s. What is 4*k(h) + 7*r(h)?\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710.634 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -52284 divided by 8\nAnswer: -13071\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 13\/11 - 3. Let p = -61\/33 - o. Let u = -13081\/1340 + 4\/335. Find the common denominator of u and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1 - 7) + 4)*4\/(-290). Let y = o + -177\/1160. What is the nearest to -1 in y, -2\/5, -0.03?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6460805 divided by -7?\nAnswer: 6460805\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 270912 - 270911.99852029. Round u to five dps.\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvdl when four letters picked without replacement from {l: 1, d: 11, v: 3}?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*b - 41 = -8*t, 5*t - 46 = -b. Let y be (-51)\/(((-6)\/2)\/3). Calculate the remainder when (-1)\/((-3)\/y) + 0 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1 - -0.471724?\nAnswer: 4.571724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937 = -4*h - 5*m + 1254, 0 = 5*h - 0*h + 2*m - 392 for h.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -2*i**5\/15 + 4*i**4\/3 - 10*i**3\/9 - 38*i**2\/3 - 16*i + 133. Suppose p(z) = 0. Calculate z.\nAnswer: -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75354 is divided by 2203.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50\/19 + -1441\/266. Let u = 257\/7 - s. What is the common denominator of (-124)\/33 + 1\/(-3) and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6683 - -12708. Does 33 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 6:23 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -72, -27, 44, 147, 288, 473, 708?\n\"Answer: a**3 + 7*a**2 + 17*a - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11215 + 0?\nAnswer: 11215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 295 - 85. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 12:53 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqqqy. Give prob of picking 1 q and 1 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -46. Suppose c*o + 105 = 19*o. Calculate the highest common factor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-2)\/(-6) + 1400\/84. Does 7 divide 4\/k - 48100\/(-225)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 34*w = 105*w - 238, 48 = -5*k + 2*w + w + w for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498 is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99.4 + 99. Let m = 4.2 - z. Let g = 3.6 - m. Which is bigger: -11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*l = -4*n - 1180155, -5*n - 1475210 = 2*l. What is n rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -9\/5, -0.02, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4623 + 68*b**2 - 4623 + (-2*b**2 - 5*b + 5*b)*(0 + 1 + 0).\nAnswer: 66*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/21 + 1\/7. Let x(y) be the first derivative of 0*y**3 - 1\/14*y**4 - 2 + 0*y**2 + 0*y - c*y**6 - 4\/35*y**5. Factor x(z).\nAnswer: -2*z**3*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*g + 12. Suppose 4*v = q - 12, 3*q + g = -5*v - 4. Suppose 0*n = n - 3*k + 6, -4*n + 2*k - 4 = 0. Is n at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170609211 to the power of 1\/3, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 307.3 and 445846644.5.\nAnswer: 445846951.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37015.2 less than 455008?\nAnswer: 417992.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v + 2*v**4 - v**4 - 32*v + (2*v + 4*v - 5*v)*(75*v**3 - 24*v**3 - 33*v**3).\nAnswer: 19*v**4 - 25*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 8 + 2*l + 0*l)*(0 + 2 - 1).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2*(-20)\/25.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14735*r + 14739*r - 37 - 7156*r**2 - 49 wrt r?\nAnswer: -14312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-377 - -458) + (-1 - 2) + 6.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-29)\/203*(-2)\/(-2)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3015, -5857, -8677, -11469, -14227, -16945, -19617, -22237?\n\"Answer: y**3 + 5*y**2 - 2864*y - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 6. Which is the biggest value? (a) q (b) -11\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -41*b + 21. Calculate h(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3*p - 954338*b**3 + 15*b**2*p - 4*b**2 - 3*b*p - b - 39657*p + 279 wrt b?\nAnswer: 12*b*p - 5726028*b + 30*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Suppose -2*x - k = -9. Let h(o) = 2*o - 4. Let m be h(x). Does 4 = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2342 - -100708\/43. Suppose 3*c - 2*j + j = 16, -24 = -3*c + 3*j. Put c, 0.3, p in descending order.\nAnswer: c, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22441.47 - 22442.35999965. Let n = -0.89 - p. Round n to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - 3*p**3 + 1 + 9*p - 17*p + 13*p**3 + 3*p**2. Is v(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 2*h - 4. Determine r(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + -3214221?\nAnswer: -3214243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -5*m - 22, c + 4*m + 12 = -0*m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 2*v)*(-3*v**4 + 2*v**4 + 0*v**4) + v**5 + 15*v**4 - 3*v**5 - v**2 - 17*v**4.\nAnswer: -v**5 - 2*v**4 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 - -4.08. Let o = -3 - y. Let s = 1.8 + o. What is s rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.190245491 rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 0)*(-10*b**3 + 7*b**3 - 7*b**3) + 3*b**3 + 0*b + 0*b to the form t*b**3 + w*b + p + y*b**2 and give t.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -13. List the prime factors of (x\/48)\/(1\/(-111)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3061, -24498, -82689, -196012, -382845, -661566, -1050553, -1568184?\nAnswer: -2232837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*m + 145*m + 24*m + 144*m - 16*m in the form c*m + z and give c.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 229*c + 230*c + 6 = 0, 0 = 5*s - c - 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125392 and 4352.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 349011 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b071e6 + 1?\nAnswer: -b071e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4212.07l to millilitres.\nAnswer: 4212070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 - s**2 + 0*s**2)*(192*s - 85*s - 11 - 93*s) to b + d*s + m*s**3 + y*s**2 and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3236 divided by -2?\nAnswer: -1618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j - 1. Let b be 4\/(-8) + (-114)\/(-12). What is the remainder when 83 is divided by g(b)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 11*y**2 + 8*y + 16. Suppose -14 = -4*r + 74. What is the remainder when u(-12) is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 5*a**2 + 4*a - 8. Let h be i(4). Let b(r) = r**3 + 9*r**2 + 9*r - 2. Determine b(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v - 34 = -5*i, -3*i = 4*v - 34. Let w(g) = -g**3 + 5*g**2 + 5*g + 8. Let c be w(i). Suppose 0*m - 74 = -c*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9604 or -9607?\nAnswer: -9607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -205297898413 and -0.7.\nAnswer: -205297898413.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1963 = 1263*i + 12067 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from ttrgrgtgrfggtrgtr?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + 2*w)*(2*w**4 + 0*w**3 + 0*w**3) + (-24 + 24 - 4*w**3)*(-w**2 - 3*w**2 + 2*w**2) - w**5 - 4*w**5 + 4*w**5 + 5*w**5 + 6*w**3 - 6*w**3.\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36 + 133. Let k = -384228312.9999894 - -384228410. Let p = g - k. What is p rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 117, 125, 131, 135?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 + 7*l**2 - 10*l + 3. Let h(o) be the first derivative of o**4\/4 - 2*o**3\/3 + 3*o**2\/2 - o + 2. Let b = 15 - 8. Give b*h(i) + 2*m(i).\nAnswer: i**3 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33997 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b + 230 + 40 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 69, 145, 267, 453?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.07 + 0.07. Let b = 16.9 + 0.1. Is h bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7\/(14\/12))\/1. Let x be 1\/(-11) + (-168)\/(-33). Suppose -5*i + 15 = x*m, -n*m = -2*m + i. Which is the closest to m? (a) -4 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 6. Let k be i + -2 - (1 + 0). Let v(b) = k*b - 3 - 2*b - 3*b + b**2. What is v(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 198 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120\/11 - 1102\/99. What is the nearest to 1.24 in 2\/9, -5, 5\/4, n?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**4 + y**3 + y**2 + 1. Let z(c) = -13*c**4 + 2*c**3 + 2*c**2 - 16*c + 2. Let w(v) = 2*m(v) - z(v). Find the second derivative of w(h) wrt h.\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.3, -1\/2, 0.1, 151?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -42, 7\/2, 3, 4?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2 and 11\/10930.\nAnswer: 10930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) + (-120)\/21. Let c be 4\/p + (-1)\/3. What is the units digit of 3 + 3 + c + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/15 + 7\/(-35)*-4. Sort 8, m, -4.\nAnswer: -4, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 10*j + 6. Is p(-6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - 4 - -10) + (-2854 - -2853)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4536)*3)\/(2*sqrt(72)).\nAnswer: 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7268, -14536, -21794, -29042, -36280, -43508, -50726?\n\"Answer: 5*q**2 - 7283*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39167 or -39346?\nAnswer: -39346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxxxuvxkxzxxukjkjuuv. What is prob of sequence uuxu?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-128)\/96*(42\/(-20))\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2755 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7968207157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**7\/30 + y**6\/24 + 3*y**5\/20 - 5*y**4\/24 - y**3\/3 + 3*y**2. Find o such that n(o) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 23*p - 28. Let n be c(-10). What are the prime factors of n\/7 + (-7046)\/(-182)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 15211*u + 1484. What is q(0)?\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h = -15. Suppose 4*r = h*n + 250, n - 2*n = -2*r + 128. Let v = -42 + 59. What is the remainder when r is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 178*j**2 - 22*j + 41*j**2 + 20*j as w + o*j**2 + s*j and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-2)*(-12)\/8 - 3325\/(-525).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567983274 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9379195 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - 29 = 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeexeewexewwfepfeeee. Give prob of sequence wex.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(1\/4))**(-42)\/((h*h**(-3))\/(h\/(h**(-2\/3)\/h)*h*h)))**36)**(-1\/39) assuming h is positive.\nAnswer: h**(46\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 4*k**2 - k - 3. Let w(t) = -6*t**3 + 737*t**2 + 4*t + 14. Determine 4*h(p) + w(p).\nAnswer: -2*p**3 + 753*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 1)\/(7\/(-35)). Suppose b*t - 2 = -5*g - 7, 3*t + 2*g = 0. Let h = 35.7 - 36. Put t, 6\/7, h in increasing order.\nAnswer: h, 6\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 9:50 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.7 - 0.2.\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11417 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = g, 2*o + 4*g = 7*o - 52. Suppose -t + 28 = o. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-16) + (-1)\/4)\/(5\/15). Let k(u) be the first derivative of u**2 + 0*u + 21 + 17\/3*u**a. What is the second derivative of k(h) wrt h?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2\/l)**(-21)\/((l\/l**(-7))\/l*l\/(l\/(l*l*l\/(l\/((l*l\/l**(-9)*l)\/l)))*l*l)))**43 assuming l is positive.\nAnswer: l**(-1677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*w + 4*h - 20, 12 = -2*w + h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-84))\/((39\/36)\/13)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 y when three letters picked without replacement from yvybvbbvvyvvbbyvybbv?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 3:01 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403130, 806238, 1209346, 1612454, 2015562?\nAnswer: 2418670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412163 is divided by 214.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -5, -2\/15, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44025*y**2 + 149*y**3 - 44025*y**2.\nAnswer: 149*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.792294um to meters.\nAnswer: 0.000002792294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*g + 118*g + 3208 = 269*g - 121*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 190 = -2*l + 387, -l = -3*u - 271. What is the remainder when l is divided by 98?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/(-54))\/((-20)\/12). Which is the nearest to h? (a) 1\/5 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*r - 38. Suppose 4*c = -0*c + 3*s + r, c - 6 = s. Suppose -2*t = 2*j + 1214, -3*j + 4*t - 1811 = c*t. Round j to the nearest ten.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 80303, 160237, 240171, 320105?\n\"Answer: 79934*o + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 113610000 to the nearest 1000000.\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 66*k + 155 = 0. Solve 3*o + 1 = -k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189908838 and 10773?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183787765.\nAnswer: 5, 7, 17, 308887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -52, -51, -52, -55?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -85 in 0.63, 90, 1, 9\/2?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115802 + 115880. Suppose 61 - 9 = 4*j. Calculate the least common multiple of i and j.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2805 - -3025. Solve -2*m = 42*m + c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 + a**2 - 10*a + 15*a + 7*a**2. Let j(y) = 3*y**2 + 8*y**2 + 46 - 45 + 10*y. Let n(c) = -2*j(c) + 5*s(c). Determine d, given that n(d) = 0.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4669 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*n = -4*p + 356*n - 24, p + 9 = 2*n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2. Let u(k) = 12*k + 20798. What is u(v(i))?\nAnswer: -36*i**2 + 20798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8318381*b*q - 52489689*q wrt b.\nAnswer: -8318381*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 0.45, -8, 5 in descending order.\nAnswer: 5, 0.45, 0.4, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -278 (base 9) to base 10.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 166.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -1\/8 (c) 5 (d) -2 (e) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**2 + a**2 + 2*a**2 - 144*a + 144*a + 52*a**2 + (3 - 3 - a**2)*(-15 - 10 + 6).\nAnswer: 69*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {z: 1, l: 1, a: 1, q: 4, v: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10*k**2. Let i be (18 - 12)*1\/2. Suppose -2*g - 9 = -i*g. Let n(d) = 18*d - 10*d - g*d. What is n(a(z))?\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 803 or 799?\nAnswer: 803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2. Let a(z) be the first derivative of -6 + 0*z + 29\/2*z**2. Calculate a(t(c)).\nAnswer: 58*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*r = 3*r + 2, r + 2 = z. Let a be (-6)\/((-3)\/(-2) - z). Is (a - -1)*11\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 13 = -4*s - 3*k, 2*k = -5*s - 57. Let v be (1 - s) + (-1 - -5 - 8). Suppose -15*g = -v*g - 567. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttttttwttt. Give prob of sequence tt.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1900\/635)*(-218 + 220).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -21*l**3 + 120*l**2 + 5*l - 11. Let p(v) = -4*v**3 + 24*v**2 + v - 2. Determine -11*p(b) + 2*r(b).\nAnswer: 2*b**3 - 24*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/35 + (-15)\/(-50) + 67*(-3)\/(-54)?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -5*n + 276. Find the first derivative of -28 - 14*c**3 + n*c**3 + 67 + 38*c**3 wrt c.\nAnswer: 141*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (0 + sqrt(275)) - sqrt(11)) + (sqrt(66) + -2*sqrt(66) + sqrt(66) + sqrt(66))\/sqrt(6))**2 + sqrt(55)\/(sqrt(5) + sqrt(40)\/(sqrt(8)*1)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 1)*(3 + 2*t - 3) + 0 + 3*t + 0.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -81?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 - 20*h - 12. Suppose 6 + 48 = -9*y. Let g be l(y). What is the third derivative of g*q**3 - 25*q**2 + 2*q**3 - 2*q**3 + 8*q**5 wrt q?\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010 + -100000?\nAnswer: 100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/5 + 278*x**3\/5 + 8224*x**2\/5 - 17568*x\/5 = 0. What is x?\nAnswer: -244, -36, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 2 + -1 - (sqrt(243) + (0 + sqrt(243))*-2)) + -1*(3 + sqrt(243)*-1 - sqrt(243)))**2.\nAnswer: -144*sqrt(3) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -19, 173, 619, 1403, 2609, 4321, 6623?\nAnswer: 9599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*m**2 + 7*m**2 + m**3)*(10*m**2 - 45*m**2 - 47*m**2 + ((-3*m + 0*m + 2*m)*(2*m + 3*m - 6*m) - 4*m**2 + 6*m**2 - m**2 - 3 - 3*m**2 + 3)*(-1 + 0 - 1)).\nAnswer: -80*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 212*o**2. Let z(y) be the second derivative of -y**3\/2 + 2717*y. Give m(z(v)).\nAnswer: 1908*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/51 in 0, 2\/3, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717994.\nAnswer: 2, 97, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1378 and 152587318.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -44.3 * -10\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -23574*g + 23574*g + 10, -g + 5*q + 8 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 53db?\nAnswer: -53d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 1\/12*x**4 - 3*x - 1\/56*x**8 + 0*x**3 + 0*x**5 + 0*x**7 + 0 + 0*x**6 + 0*x**2. Find the third derivative of q(z) wrt z.\nAnswer: -120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = c - 6*c + 5*x, -3*c + 4*x = -145. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/6 and 83\/49722?\nAnswer: 49722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13836, 26875, 39914?\n\"Answer: 13039*c + 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52*h**2 + 1107 - 542*h**2 - 1107 - 346*h**2)*(-29 + 19 - 46) in the form j + q*h + n*h**2 and give n.\nAnswer: 52640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 - 17592*x**3 + 52802*x**2 + 70368*x - 211176 = 0. What is x?\nAnswer: -8799, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - c + 14, 2*c + 10 - 5 = 3*k. Determine z, given that 0 - 9\/2*z**k + 0*z + z**2 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 19 = 5. Is 166\/m + 8\/48 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8800 is divided by 4396?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 132, 209, 286, 363?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11946, -23865, -35784, -47703, -59622?\nAnswer: -71541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + o + 3. Calculate a(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 1 - 3*l + 3*l)*(0*l + 8*l - 6*l) as f*l**2 + a + p*l and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 439505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -h, -30675*l + h = -30682*l - 110 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y - 3*y)*(0*y**3 + y**3 + 0*y**3) + (-5*y**3 + 6*y**3 + y**3)*(436 + 437 - 862 - 21*y).\nAnswer: -43*y**4 + 22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 972 and 8478?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2426939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 + 7\/6. Let d = -107251 + 107251.2. Which is the closest to -2\/9? (a) d (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103148 is divided by 1992?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 14 = m, -26*r + 27*r + 3*m + 17 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -253 - -259. Let x be (-1 + (-2 - -1))*k\/(-3). Solve -2*q + 0*q + n + 12 = 0, 0 = -x*q + 4*n + 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyppyyyyppyypyyyy. Give prob of picking 1 p and 1 y.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10701, -42694, -95757, -169680, -264253?\nAnswer: -379266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -132415, -132640, -133007, -133510, -134143, -134900, -135775, -136762?\n\"Answer: b**3 - 77*b**2 - b - 132338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 501*j**3 + 26*j - 998*j**3 + 499*j**3 in the form x + a*j**3 + z*j**2 + m*j and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*y - 53*y + 26*y + (-2 + 2 - 1)*(-4 - 2*y + 4).\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10866 + -3780. What are the prime factors of k?\nAnswer: 2, 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:24 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20.044 + 0.044. Let g = l - -19.5. Let c = -0.1 - g. Round c to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 5*m + 9. Let l be b(-6). Does 8 divide (l - -3)\/(6\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*d = 37, 1111*d - 36 = -4*n + 1109*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, z: 2, x: 8}. Give prob of picking 2 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43979655?\nAnswer: 3, 5, 977, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*y - 18558 + 18874 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6191805843100 - 5.\nAnswer: -6191805843105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -11)*(-2)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 801 and 24.\nAnswer: 6408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - 114) + 7 - (2 + -3). Is q at most -559\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53808489 a multiple of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 12120011?\nAnswer: 12113331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**2\/2 + h + 1. Let t = -68 + 72. Suppose -i = -4*v - 8, -3 = -v + 3*i - t*i. Determine c(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 0.07 (b) -2 (c) -1\/32 (d) -239.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 5*k - 1. Let j be h(-4). Let i be 15\/(-4) - j\/12. Let y = 4 + i. Solve f + 2*s = 0, -3*f - s + 5 = -y*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152 - 448 = -5*l. What is the highest common divisor of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 3*z - 2. Let l(s) = 6*s**2 + s. Let v be l(-1). Determine c(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**4\/5 + 24954*g**3\/5 - 24951*g**2\/5 = 0?\nAnswer: 0, 1, 8317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44855580.418 + -44867845.1380014. Let n = j - -12264.8. Let l = n + -0.08. What is l rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (24 + -12 + -27 + 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4526, -9063, -13600?\nAnswer: -18137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252 (base 9) to base 10.\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 165 = -5*k, -k - 2*c = 4*k - 160. Let r = k + -25. Suppose 114 = r*b - 3*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736146127?\nAnswer: 19, 59, 656687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 8*c - 8. Let j be 2*c\/(-12) - 428\/(-6). Suppose -j = -2*p + 49. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - -20. What is the remainder when l is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -694 - -719. What is the greatest common factor of w and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 370\/21 + -2 - 52\/(-13). Let y be (58\/(-9))\/(2\/(-6)). Let i = y - f. Is -1 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-20)\/(-6))\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 92861 = -92872, -2*y - 2*j = 16 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1072, 2007, 3096, 4339, 5736?\n\"Answer: 77*v**2 + 704*v + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31409*d**2 - 8239*d wrt d.\nAnswer: -62818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10956990 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: Solve 2*r + 3*i + 1 = 0, 8*r + 210 = 4*i + 158 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 171792392*c**3 - 93418457*c**2.\nAnswer: 1030754352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5441 (base 6) to base 4.\nAnswer: -103201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 28*x**2 + 81*x - 86. Calculate k(-30).\nAnswer: -716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + 0 + 3 - (4 + sqrt(1100) + 0) - (0 + ((sqrt(88)*-2)\/sqrt(8) + sqrt(11))*2))**2.\nAnswer: -4*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -515560 to the nearest ten thousand.\nAnswer: -520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + ((-1*(3 + sqrt(117)*2) + 2)*-5)**2).\nAnswer: 300*sqrt(13) + 11727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 293954, 293874, 293792, 293708, 293622, 293534?\n\"Answer: -d**2 - 77*d + 294032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 382 and 6244363.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0 + 20999\/6*x**3 + 1\/2*x**2 - 2*x. Let p be d(1). What is p rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 132 = 3*w, 0*f + 5*f = w - 304. Suppose 5*z + 4*d + 192 = 9*z, 3*d = 4*z - 189. Let m = z - f. List the prime factors of m.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 5*m - 2. Let o be g(3). Suppose -o*v - 4 = 16. Sort 2\/9, v, -2\/13 in increasing order.\nAnswer: v, -2\/13, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236164 and 25024?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 33.\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g + 4802 - 5221 + 419.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 2*x + 16 = 0. List the prime factors of ((-417)\/12*2)\/x*-4.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*g - 8, -2*z - 4*g = -21 + 33. Find the second derivative of -18*v + 126*v - z*v + 111*v + 3*v**2 + 4*v**2 wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 7\/4)\/((-9)\/36). Solve -x*t = 5*f - 0*f - 13, 21 = f - 4*t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 8 = -3*h. What is the second derivative of -5*f**5 - h*f**5 - 16*f + 5*f wrt f?\nAnswer: -200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 378*n**2. Let z(q) = q**2. What is m(z(w))?\nAnswer: 378*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 15. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 34 = -2*r + 3*f, 5*r = -4*f + 27. What is the smallest common multiple of 9 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 2, i: 11, r: 1}. Give prob of sequence ix.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8290 divided by -1658\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048363?\nAnswer: 293, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (164\/(-82))\/((-2)\/6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4929 minus 0.2?\nAnswer: -4929.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 0 - (-67 + -1). Let j = n + 31. Let z(t) = 2*t**2 - 30*t - 54. Let y be z(17). What is the highest common divisor of y and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6)*(1 + -7). Suppose -q + 6 = -k. Let c = q - 5. Calculate the remainder when 14 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9295000 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.16 (c) -8 (d) 2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 35*c + 4. Let z(s) = 33*s - 592. What is -2*a(t) + 2*z(t)?\nAnswer: -4*t - 1192","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhgg when four letters picked without replacement from gghhghg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - k**2 - 3*k + 159. Calculate j(0).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, s: 5, d: 1, x: 3, p: 6, l: 2}. Give prob of picking 1 d and 1 z.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 8864 = 3*o. Let j be o\/(-3) - (-3)\/9. Suppose 17 = 7*i - j. Is i a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 - 5*b**2 - 3 - 2 + 5 wrt b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87888900 or 439444494\/5?\nAnswer: 439444494\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.04, -5311420?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 136*t + 2572. Does 4 divide z(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + -20 + 18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17693636*m*q**3 - 236659*q**3 wrt m.\nAnswer: 17693636*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 73\nAnswer: 21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*p - 48*p - 170 - 70 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = p + 21, -2*o - 1 = -5*p + 9. Suppose -10 = p*n + n. Is (0 - -1)*-5*n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 14*u. Let d(t) be the first derivative of t**3\/3 + 173. Give d(h(y)).\nAnswer: 9*y**4 + 84*y**3 + 196*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4170 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.255? (a) -3 (b) 1\/6 (c) 0.5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6546 - 131. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 13\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -112122101002200 (base 3) to base 14\nAnswer: -10680b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139546828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5374911, -17, -4, -2 in increasing order.\nAnswer: -5374911, -17, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -99*y + 27. Let a(k) = -3*k - 1. Let i(g) = -3*g + 10. Let d(q) = 5*a(q) + i(q). Give -27*d(v) + 5*s(v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-2)*60\/2. Suppose -2*k - f = 45 - 6, 0 = -3*k + 4*f - s. What is the units digit of 6\/(-21) - 27\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21673584*h - 57561621.\nAnswer: -21673584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*q + 10 = 0, -4*u + 0*q = q - 13. Suppose -u*d - s = -8, 0 = -0*s + 2*s + 2. Solve 0*c - d*c = -5*o + 9, 4*c - o - 5 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -89, 17, -72 in descending order.\nAnswer: 17, 7, -5, -72, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/1*(-42)\/(-2). Calculate the greatest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 41*g**3 + 4*g - 15. Let x(j) = 83*j**3 + 9*j - 31. Let r(h) = -7*u(h) + 3*x(h). What is the second derivative of r(k) wrt k?\nAnswer: -228*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 2*l**2 - 2*l**2)*(-2*l + 0*l - l) + (-3 + 0 + 5)*(-l**2 - 2*l**3 + l**2) + l**3 - 1 + 1.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165723600*u**4 - 122831891*u.\nAnswer: -1988683200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 19 = -6*b + g, -b + 3*g + 17 = 0. Sort 2, b, -18.\nAnswer: -18, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*d = 306, 257*s + 6227*d - 6231*d + 3128 = 309*s for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*h**2 - 8*h**2 + 4*h**2)*(19 + 25*h - 25 - 9*h) to the form u*h**3 + j*h**2 + i*h + q and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 6*u + 3*u. Suppose 4*o + 3*c - 23 = u, -4*o - 3*c = -7*c + 12. Solve -q + o = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + q + 3 - 17. Calculate m(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.162 - 7.162. What is the second biggest value in 1, a, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 + 1110\/(-90) + ((-4)\/3)\/(-1). Which is the closest to 1.9? (a) 8 (b) 1\/6 (c) 4\/3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, 19, 472, 905, 1312, 1687, 2024?\nAnswer: 2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10244915 to the nearest integer?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4423753*p**4 - 2*p**3 - 1615590*p**2 - p?\nAnswer: 106170072*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34699030 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-15) + (5\/(-9))\/((-33)\/(-198)). What is the second smallest value in o, -0.3, -0.1, 1, -13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 7*g**2 + 11*g + 1. What is j(9)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 37*k**7\/210 + k**5\/12 - 8*k**2 + 17. Let z(o) be the second derivative of h(o). Find the third derivative of z(q) wrt q.\nAnswer: 888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let x(f) = -f + 0*f**2 + 2*f**2 + f. Give u(x(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 5*p - 6024, -c + 0*p + 3002 = -5*p. Calculate the remainder when c is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(2\/15)*c)\/c)\/c**(-2))\/(c**(-1))**(6\/5) assuming c is positive.\nAnswer: c**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 4*m - 9*m - 3. What is the tens digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + f + f + (-1 + 6 + 1)*(-6 - 4 + 8 + (-2 - 2 + 3)*(-15 + 1 - 5))*(5 + 2 - 5)*(4*f + 3*f - 6*f) to the form b + z*f and give z.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786000 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -3*n - 15 + 7\/6*n**3 + 3*n**2 + 1\/12*n**4. Calculate b(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-28)\/(-16))\/(1\/12). Let d be 1\/3*p + (3 - 2). Let q = 18 - d. Calculate the smallest common multiple of q and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4618543540 to the nearest one million.\nAnswer: -4619000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1263 is divided by 419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 1\/2*h**2 + 0*h + 771. Suppose -c + 9 = 2. Give j(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19061 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 6*h**2 - 3*h - 8. Let n be w(5). Suppose n = r - 3*r. Which is smaller: 27 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 0.4 (c) 2 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26687123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2020 and 860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -37*g**2 - 792*g + 32950. Calculate j(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 16*g**2 - 2*g + 20. Let p be v(16). Let q be -2*1*p\/8. Suppose 4*x - 3*a - 10 = 0, q*x + 4*a + 4 + 1 = 0. Put 0, x, -4 in decreasing order.\nAnswer: x, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15200 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5837 - -5840. Solve 2*r + 21 = 5*k + r, o*k + 3*r - 9 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.1362526 and -0.24.\nAnswer: -9.3762526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t + 108. Let v(p) = 6. What is a(y) - 8*v(y)?\nAnswer: 2*y + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3340, 13423, 30228, 53755?\n\"Answer: 3361*t**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6677883 litres in millilitres?\nAnswer: 667.7883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -165, -167, -179, -207, -257, -335, -447, -599?\n\"Answer: -k**3 + k**2 + 2*k - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 2*b - 39, n + 0*b - b - 5 = 0. Suppose -l + n - 1 = 0. Let k(i) = -13*i + 4. What is the remainder when k(-1) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 - -140. What is the common denominator of (j\/230)\/((-18)\/(-85)) and -1\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/(7\/(-28)). Let r be 13*-1 + d\/3. Let h be (15\/20)\/(r\/8). Which is smaller: h or 1\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89*z - 20 - 33 + 6 - 54*z - 46*z wrt z?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69\/7 + -670\/63. Let p = 2\/43 + -1257\/215. What is the common denominator of p and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - (87 + -108)) + -56\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3422.7 + 3424.20057. Let m = k - 1.5. What is m rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 503857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + 1*sqrt(1088))**2 + 5 + ((sqrt(1088) + -1*sqrt(1088))*2 + -1)**2.\nAnswer: -32*sqrt(17) + 1094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-21))\/((-3)\/216*4)*(-805)\/(-230)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2265*m**2 - 703*m**2 - 1094*m**2.\nAnswer: -4062*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -3 + 0*x - 465\/2*x**2. Let y be a(-2). What is y rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 16*l - 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35225248 divided by 1531.\nAnswer: 23008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*q + 32*q - 4*q)*(q**3 + 2*q**3 - 4*q**3) + (-4 - 2 + 5)*(-2 + 2 + q)*(-17*q**2 + 11*q**2 - 2*q**3 + 8*q**2).\nAnswer: -38*q**4 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -3*l + 12. Let t(y) = -y**3 - 2*y**2 + 2*y - 2. Let m(f) = -f**3 - 3*f**2 + 3*f - 3. Give l*t(h) + 2*m(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 418\/7 + -60. Which is the nearest to 0.1? (a) h (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -5. Let s(b) = -4*b**2 - 4*b + 2. Let f(a) = 5*a**2 + 5*a - 1. Let v(u) = l*f(u) + 3*s(u). Find m such that v(m) = 0.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 12)*(-1 - -2). Suppose 5*i + 2 = s. What is the third derivative of -p**2 + p**5 + p**5 + p**2 + i*p**2 wrt p?\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**2\/2 + 97. Let i(w) = -w - 2*w - w. What is y(i(g))?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 15) + -24 + 25?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-38 - (33 + -17)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2928460 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + (-20106457)\/5. Let m = 1882291 + h. What is m rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, 5, 3, 95914, 6, -2 in increasing order.\nAnswer: -11, -2, 1, 3, 5, 6, 95914","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -35, -74, -127, -194, -275?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*6\/(-24)*(-437)\/5. Let q = f + -88. Which is the smallest value? (a) -4\/11 (b) q (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21201275 to the power of 1\/2, to the nearest integer?\nAnswer: 4604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 9 = -c, -23 + 11 = 2*c - 4*n. Let f be -17*(c\/(-8) - 3\/6). Solve 2*y - 5*x + 25 = 0, -2*x = y - 6*x + f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3756, -7327, -10620, -13629, -16348, -18771?\nAnswer: -20892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23.8 + -5.2. Let n = 21 + o. Let j = -4 - n. Which is the second biggest value? (a) 5 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 2. Let l be 31\/(-11) + 3 - 192\/(-33). Let d(b) = -3*b + 2. Give l*d(n) - 5*h(n).\nAnswer: -3*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1275.06 to the nearest ten.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61646?\nAnswer: 2, 13, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - y**2 - 9*y + 9. Let v be k(3). Suppose v = -0*j + j - 4*b - 1493, 0 = -4*j + 2*b + 5902. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 325656141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/9*4\/10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 98) + (-1 + 10 - (4 + 6 + 3))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*-1*48\/10. Let g = 53 + u. Calculate the smallest common multiple of g and 9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/2 - 122141*h**3\/2 - 61070*h**2 = 0 for h.\nAnswer: -122140, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/20*-2*(-4)\/6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40706 - -129757. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -2*o**5\/35 + 38*o**4\/7 - 1300*o**3\/7 + 2500*o**2 - 31250*o\/7 + 11. Factor k(x).\nAnswer: -2*(x - 25)**3*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (181 - 175)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.079 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-242)\/33 + 2\/(-3). Let a be 91 + 3 + d\/2. Let q = a - -104. List the prime factors of q.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -3.64.\nAnswer: -4.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404 = -662*n - 530*n + 36*n - 1908 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.9 + -8.5. Put 3, 81, g in descending order.\nAnswer: 81, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061363 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 15*j**2 - 23 - 20*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006357204399 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -35. Let d = q - 28. What is the remainder when 12 is divided by (21*d\/3)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -710719, -710723, -710727, -710731, -710735?\n\"Answer: -4*w - 710715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s**(-8))\/(s**(-1\/6))**(6\/7) assuming s is positive.\nAnswer: s**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.4. Let j be ((-20)\/28)\/(4\/(-14)). Put -0.1, z, j in decreasing order.\nAnswer: j, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*d - 11, -5*d + 2*x + 10 = -15. Suppose 10 + 11 = d*z. Let o = z + -4. Which is the biggest value? (a) -1\/3 (b) o (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (7\/4 + -6). Let m(z) be the first derivative of o*z**6 + 1\/8*z**4 + 14 + 0*z - 2\/5*z**5 + 0*z**3 + 0*z**2. Factor m(u).\nAnswer: u**3*(u - 1)*(3*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 a when four letters picked without replacement from liliaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Let a be z\/4 + (-36)\/(-16). Suppose 0 = -2*n + c - 6*c + 4, -n = -a*c + 7. Which is bigger: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1825647 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3086571 is divided by 17945.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**3 - 6*n**2 - 12*n - 21. Factor r(m).\nAnswer: -3*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 83 and 21?\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58016 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0 - -45 - (-13)\/(169\/39) and 34?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 60 + 12 = 0. Let l be (s\/5)\/6*20. What are the prime factors of (-436)\/l + 2\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*l**2 - 48576203*l + 48576203*l - 50*l**2 - 55*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -135*n + 526. Let m be s(3). Is m <= 121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59390940 a multiple of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83225992753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572 a factor of 20001882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -413\/3655 + -1\/215. Let l = -54\/119 + t. What is the second smallest value in 4, 0, l, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 11. Let f be d(0). Let y = f - -18. Suppose 6785 = -4*w + 5*v, 0 = -5*w - y*v + 2*v - 8515. Round w to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5042 - -5030.035. Let u = 12 + c. Let j = u + -0.03459. Round j to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*a + a. Let f(g) = 429*g**2 + 2*g - 2. Is f(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*t = -1620, 2*k + 3*t - 1667 = -39. Let j = -401 + k. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/(-35) - 342\/10. Let c = b - -64. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + ((-40)\/(-5) + 22210 - -2).\nAnswer: 17, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/183631 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d - d - 24 = 0. Let x = 8 + -3. Solve -2*w + 2*a = 18, -2*a + x*a + d = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9487 (b) 6 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/(-4) + (-14 - -26) + (-63)\/4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 9573 + 15*c**2 + 9574.\nAnswer: 19*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:54 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-28)\/(-1680)*20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s**2 - 36*s - 1. Let i be o(9). Suppose 3 = -3*v + 12. Suppose -r = v*r + 12. Which is the nearest to i? (a) -2\/9 (b) 1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4 + 2. What are the prime factors of ((-1)\/x)\/((-3)\/(-90))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2321 divided by 211.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -766*s = -796*s + 36824 + 27736. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93.3823 - -0.1077. Let v = x - 94. Let w = v - 1.78. What is w rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -142313.0887 - -142323. Let d = 125.7 + -135.6. Let x = d + u. Round x to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -207\/8 in 3\/5, -45.82, -3, 0.5, -4?\nAnswer: -45.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 110 in -0.3, 35, 1\/2, -1, 1\/4?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -330 + 392. What is the remainder when 125 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*j - 2*j - 50, 4*q = -3*j + 140. Suppose j = -5*t + 15. Calculate the common denominator of -27\/2 and ((-815)\/(-38))\/t - -4.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**3 + z**2 + z - 11. Let h(k) = 2*k**3 - k**2 - k + 6. Calculate 7*h(n) + 4*q(n).\nAnswer: -2*n**3 - 3*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.1 and -2556.19?\nAnswer: 7924.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtc when three letters picked without replacement from {g: 1, t: 1, c: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96336387?\nAnswer: 3, 7, 1529149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 50 = 22*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2834940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1578.\nAnswer: -1\/526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 460, 1073, 2426, 4891, 8840, 14645, 22678?\n\"Answer: 62*k**3 - 2*k**2 + 185*k + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + (2 - 5) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 24*h + 20. Let s be y(12). Suppose 4*l + 3*w - 4 = -w, -3*w = 12. Solve l*g - 4*g + s = 5*q, -2*g - 2*q + 20 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -3.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/521 + -1060\/1563. Let j = 23.89 - -0.11. Is j at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/18 + 0)\/(12\/(-9)). Which is the biggest value? (a) 29 (b) 0 (c) -5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 2*f**2 - 13 + 0*f + 2*f**2 + 12*f - 8*f**2. What is the tens digit of i(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 15 - 10 - (-96 - 33)) + 14.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -65*k**3\/3 + k**2\/2 + 3*k - 14. What is the second derivative of r(w) wrt w?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 5:56 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5053712 is divided by 1207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 6 + 22 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**4\/2 + 19*g**3\/6 - 23*g. What is the second derivative of k(n) wrt n?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**4\/12 - 4*v**3\/3 + 3*v**2\/2 + v. Let q = 309 - 318. Let j be d(q). Does -9 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 18, 433, 0, 103.\nAnswer: -5, 0, 2, 18, 103, 433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 3*q**2 + 2*q + 1. Suppose 10*r - 9*r - 8 = 0. Suppose 3*w + 12 = -0*w. Let u = w + r. Give c(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (0 + -6 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32713.\nAnswer: 32713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 3, -2\/5.\nAnswer: -6, -1, -2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 45 = 20*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 + 7*u + 7. Let f(s) = -s**2 + 5*s + 5. Let j(v) = 3*f(v) - 2*o(v). Give j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 7*w + 49. Let a be (-7)\/(-1)*(-1 + -6). Let y(z) = 3*z - 7*z - 2*z - 6 + 5*z. Let x(o) = a*y(o) - 6*k(o). Let r(v) = -5*v**2. Calculate x(r(h)).\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3107\/5 <= -621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28494 divided by -9.\nAnswer: -3166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 2:07 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -1\/24, 1, 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-10)*z*z\/(z*z*z\/(z**(-2\/11)*z)*z)*z\/((z**(-3)\/z)\/z)*z**1*z)**(-2\/113))**(-49) assuming z is positive.\nAnswer: z**(19208\/1243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 21. Suppose -2*q = 2*u - 6, -3*u + 0*q + 11 = s*q. List the prime factors of (-357)\/(-14) - 1\/u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -4*i + 913216, 5*i + 15*l = 17*l + 1141487. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -28. Let d be (8\/w)\/((-1)\/(-300)). What is the greatest common divisor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 23, 85, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*n - 620, -2*n - 51*d + 52*d + 298 = 0. Calculate the highest common factor of n and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*r - 2\/19 + 2\/19*r**2 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24028453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101103 + -103200?\nAnswer: -2031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (64*x + 1589 - 1589)*(2*x + 3 - 3)*(-3*x + 3*x + 2*x) in the form b + q*x**2 + w*x + v*x**3 and give v.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g - 6. Calculate the highest common divisor of 4 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -669 (base 16) in base 2?\nAnswer: -11001101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.059 - -0.041. Which is the nearest to u? (a) -1\/5 (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 2. Let j(u) = 2*u**2 + 10*u - 20. Let c(d) = j(d) + 10*o(d). Let w = 1 - -8. Let v(m) = w*m - 5*m**2 - 9*m. Determine v(c(f)).\nAnswer: -20*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8183098, -16366214, -24549330, -32732446, -40915562, -49098678?\nAnswer: -57281794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 3. Let u be q(-9). Suppose -25 = -5*v - 2*d - 3*d, 3*v = -d + u. Let z = 7 + v. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 9 (c) 54 (d) 0 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(0 + (sqrt(176) - (sqrt(176) + -3*sqrt(176))) - (3 + sqrt(176)*3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1799*f = -1819*f + 104694000. What is f rounded to the nearest one hundred thousand?\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75866900 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 120\/36 - (2\/3 - 28\/(-42)). What is the fourth biggest value in -0.5, -1, 0.3, 5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8*d + 603 = 0. What are the prime factors of d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alvic. Give prob of sequence lv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 5*a**3\/2 + 2*a**2 + 3*a. Is l(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*h - 74789 = -80333 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -26b0b7 (base 14) to base 3\nAnswer: -2111220022121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**3 + 11*p**2 + 9*p. Let a(w) = -w**3 - w. What is 5*a(f) + n(f)?\nAnswer: 2*f**3 + 11*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -178*u - 108*u - 43*u + 4*u to m + k*u and give k.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**4*y*y\/((y\/(y\/(((y\/(((y\/y**(5\/3))\/y*y)\/y))\/y*y)\/y)*y*y*y))\/y) assuming y is positive.\nAnswer: y**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*x - 4 + 1, -3*x = -6. Let g = 99.137 + -99. Let t = -23.137 + g. What is the second biggest value in t, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -13*r**4\/12 + r**3\/2 - 3*r**2 - 7. Let v(m) = 9*m - 1. Determine -6*l(h) - 17*v(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 7. Let k be o(-9). Suppose -12 = 3*p, -3*p = -z - 0*p + 11. Let g = k - z. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*f**2*t**3 + 131*f*t**3 wrt f.\nAnswer: 182*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135*-55579.\nAnswer: 7503165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92 + -89. Calculate the common denominator of 20\/27 and (2 + 275\/180)*i.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*k - 6*k + 11*k)*(-3*k + k + k) + (-4 + 0 + 3 + 3*k)*(-75*k - 71*k + 125*k) as q*k**2 + r + n*k and give q.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40 + 10)\/((-2)\/20045). Suppose k - i = -30675. What is k rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32541 is divided by 16266.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -914927 = -28320*t + 76273 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1415, -1414, -1413, -1412, -1411?\n\"Answer: w - 1416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 464*j**2 - 899*j + 3283. Determine m(-230).\nAnswer: -1547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1080 + 541 - 279*y**2 + 539 + 333*y**3 wrt y?\nAnswer: 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 10\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 9 = -0*w + 3*b, w - 4*b + 12 = 0. Suppose 0 = -w*j + 3*j - 111. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(sqrt(6897) - -4*sqrt(6897)*-1))\/(-3*(4*sqrt(15)\/sqrt(5) + sqrt(3))*-6).\nAnswer: 11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99798816 and 1248?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 659934, -327, -5 in increasing order.\nAnswer: -327, -5, 659934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*p - 828. What is the highest common divisor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165)\/495)\/(3\/(3\/(-2))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2089850245)\/49 - (-6 + 0 + 1). What is m rounded to the nearest 1000000?\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.344156 decades in months?\nAnswer: 41.29872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/9 + 8\/45. Let w be (-6)\/15 + 72\/230. What is the closest to w in -0.3, t, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30208, -47798, -65390, -82984, -100580?\n\"Answer: -l**2 - 17587*l - 12620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, o: 1, g: 1, e: 6, v: 1, l: 3}. What is prob of sequence fvl?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -34 + 14. Let w(z) = 5*z**2 + 3*z. Let k be w(5). Suppose -10 - k = -y*l. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45724954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24731 is divided by 3459.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5375*p**2. Let v(a) be the second derivative of -a**4\/12 + 582*a + 5. Give c(v(z)).\nAnswer: -5375*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -58\/7, 3 in descending order.\nAnswer: 3, 0.3, -58\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -2. Let q be 3\/((-9)\/(-12)) + -6. Let i be (-9)\/60*4*(-5)\/q. Sort -2, -0.1, i, h in increasing order.\nAnswer: -2, i, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g + 0*g - 4*g)*(-g**2 - 2*g**2 - 5*g**2)*(2*g**2 + g**2 + g - 2*g).\nAnswer: -48*g**5 + 16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 = -27*b - 107 + 259 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -603460, -603414, -603368?\nAnswer: -603322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -2\/13, -2.07, -3, -19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h - 1. Let g be (58\/(-8))\/(-1 + 6\/8). Let b = -33 + g. Calculate a(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1195 = -4*b, 4*p - 1552 = 2*b + 56. List the prime factors of p.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3388, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -4.4, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 7501.\nAnswer: 7501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + j)*(-10 - 7*j + 12 + j).\nAnswer: -6*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 15 = 5*k, 4*k - 5*d - 22 = -1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + 4.01. Let r = -1.7 - -2.4. Let h = -0.4 + r. What is the biggest value in a, -1\/3, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057809889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5185*m**3*s - 2*m**3 + m**2 - 38*m*s + 7*m + 8*s - 2 wrt m.\nAnswer: -31110*m*s - 12*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14165 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -476 divided by -14\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 41*g**5\/60 + 20*g**3\/3 + g**2 + 25. Let f(p) be the second derivative of b(p). Differentiate f(t) wrt t.\nAnswer: 82*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -41 (base 12) to base 7\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18471, 17618, 16765, 15912?\nAnswer: 15059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 882876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(3\/((-36)\/8))\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 4*o**2 + 2*o - 2. Let j be t(-3). Let s = j + 31. Suppose 0 = l - s*l + 20. Solve -l*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37953 is divided by 37596?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -26*r + 86. Calculate n(10).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149126176.\nAnswer: 2, 17, 467, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/5*(49 + 10)*-20?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkq when three letters picked without replacement from kkkkkqpkkkk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.48 * -1717362\nAnswer: -824333.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2157, -2152, -2145, -2136, -2125, -2112?\n\"Answer: m**2 + 2*m - 2160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 divided by 5?\nAnswer: -148\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7294 from 46.\nAnswer: -7248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6)**(-8\/3)*(z\/(z**17*z))\/(z*z**16) assuming z is positive.\nAnswer: z**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:14 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/9, 2\/5, 5, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 3*z**2 + 12*z + 20. Suppose 0 = -3*y + 2*n + 28, y + 4*n = 4*y - 20. What is the lowest common multiple of o(5) and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 + 189*l\/5 - 366\/5.\nAnswer: -3*(l - 61)*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -2\/5 (c) -0.3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 40*y**3\/3 + 13006*y**2\/3 + 1030276*y\/3 + 255136 = 0.\nAnswer: -952\/5, -134, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 43105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 987?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-37)\/5 - (-1 + -1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(99)*2 - sqrt(99))*-3 + sqrt(99)*2*-1 + sqrt(99))\/(-5*(sqrt(9)*-2 - sqrt(9))*6))**2.\nAnswer: 44\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1075 or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {x: 7, p: 5, r: 2, y: 4, q: 1, u: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 2*w + 5*w)*(13 - 5 + 40)*(0 + 1 + 0) + 3*w - 3*w + 2*w.\nAnswer: -46*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*72\/(126\/14)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + h = 109, -5*d = -2*d - 3*h - 105. Suppose 0 = -2*y - p + 49, -5*y + 74 = -2*y + 2*p. What is the greatest common factor of y and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -396*h**4*m**3 + h**4*m - h**2*m**3 + 8*h**2*m**2 - 6*h*m wrt h.\nAnswer: -9504*h*m**3 + 24*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.03, -0.4, 5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1997*j + 3990*j - 1976*j.\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 26, 35, 44, 53, 62?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrmwxjhj. What is prob of picking 1 m and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 957906\/83 > 11541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 34 - 18 = 0. What is the remainder when 49 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 309 - 155. Suppose -41*y + 635 - 5104 = 0. Let a = y + g. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101101513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17900 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a + 2. Let g be t(-2). Let c = -10 - g. Let r = c - 34. What is r rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82867 a multiple of 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 9515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 236, 361, 430, 425?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231997315.\nAnswer: 5, 11, 19, 222007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-495)\/12)\/33)*1665\/18?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 - 33*v + 27. Let s be d(-9). Put s, 11, -2 in decreasing order.\nAnswer: 11, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a factor of 1468077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**4 - u**2 - 3*u - 1. Let w(n) = -3*n**4 + 287*n**3 - 4*n**2 + 56*n - 4. Let t(s) = 4*o(s) - w(s). What is the second derivative of t(r) wrt r?\nAnswer: -12*r**2 - 1722*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81 - 16*q + 167 - 86 to the form j*q + v and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*u + 79. Suppose u - 2 = x. Suppose 3*f - 4*m = 4*f - 9, -5*f - 2*m + x = 0. Solve -2*k - z - 2 = 0, -4 - 31 = f*k - 5*z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 151450 + -10553?\nAnswer: 140453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1223, 2445, 3667, 4889, 6111?\n\"Answer: 1222*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -4\/3*y**3 - 1\/2*y**2 - 16*y + 67. Differentiate o(c) with respect to c.\nAnswer: -8*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 372 - 861 = 3*u, -g - u = -1213. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/16367736 and 157\/21882.\nAnswer: 16367736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 523, 536, 561, 598, 647, 708, 781?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 18*x**2 + 5*x - 39. Calculate z(19).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 10. Suppose 20 = m*j - 0*j. Find x such that -4*x**2 + 5*x**2 + 0*x**3 - x**j + x**3 - x = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -0.174, 4, -2\/9, -26\/31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12287712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -10. Let u = b + 5. What is the third smallest value in -4, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(5\/2)*w\/(w\/((w*w**9)\/w)))\/((w*w\/w**(-5))\/(w\/(w**(-4)*w))))**11 assuming w is positive.\nAnswer: w**(187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdv when three letters picked without replacement from {d: 3, n: 1, v: 9, g: 5}?\nAnswer: 15\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/78408 and -25\/938.\nAnswer: 36773352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 7, f: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-8)\/q)**(-2\/7)\/(q*(q**(-42)*q)\/q*q*q**(-1\/6)*q) assuming q is positive.\nAnswer: q**(1741\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 404?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-52)\/(-18))\/((-58)\/(-261)). Suppose -q*p - 51 = -1026. Does 24 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 3 + 5)*(-2*v + 3*v + 0*v + (6*v - 5*v + v)*(6 + 1 + 2)) to the form q*v + n and give q.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 14 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(27600\/(-1275) + 22)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 2*q**2 - q - 7. Let w(y) = y**3 + y**2 + 4. Let h(m) = 3*f(m) + 5*w(m). Let s(l) = l**3 - 2*l**2 - 3*l - 2. Let k be s(3). Calculate h(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -695 + 3*z + 695 - 3*z**2. Suppose -57*q + 59*q - 4 = 0. Let w(g) = 13*g**2 - 13*g + 1. Determine q*w(h) + 9*o(h).\nAnswer: -h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4352498485?\nAnswer: 5, 43, 701, 28879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 598 divided by 285412\nAnswer: 299\/142706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 equal to 1\/3800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6072)\/(-16))\/(407*62\/4588).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(1053) + sqrt(1053)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 148.61182402 to two decimal places.\nAnswer: 148.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Let d be n(1). Suppose 2*i + 3*x = i + 6, -d*x - 4 = -2*i. Suppose -i*c + 5*c = 24. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 9, -0.2 in descending order.\nAnswer: 9, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 3*q + 5. Give x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 2*s**2 - 146*s + 45. Let k be j(13). Is 2\/5 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g - 3. Let j(f) = 16*f + 6*f - 13 + 4*f - 9*f. Give -6*j(y) + 26*w(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 98*b - 12 = -96*b, -x + 12 = -3*b - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 1.16.\nAnswer: -8.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let j(s) = -10*s - 53. Let g be 3\/(-4) - 91\/28. Let b(p) = g*q(p) - j(p). What are the prime factors of b(13)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + -5*sqrt(343).\nAnswer: -35*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9835873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90097176?\nAnswer: 2, 3, 13, 288773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {y: 1, u: 2, a: 1, m: 2, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76 - -42.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/47100 and 41\/2355.\nAnswer: 47100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 6 = 2*x, 2*x - 132*s = -134*s + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1232 and 80.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/((-2553)\/46)*(-5)\/(-1460)*6\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.9 + 4.9000267. Round p to 6 dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-7 + 8 + -4) + -12. Is -15 equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 9932.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 7:38 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -148, -295, -442, -589?\n\"Answer: -147*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-60)*6)\/((-374)\/(-425)*5)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-54)*3 - 6\/(-4). Is i <= -182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by -199.\nAnswer: 62\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -101.957 + 102. Let k = p - -0.057. Is k <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 17.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*m - 74*m - 64*m - 792 = 87*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 0*x**2 + x - 9 + 1\/3*x**3. Let u = -29 + 28. Determine q(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70057687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:23 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 12:51 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 10, -5, 5 in ascending order.\nAnswer: -5, 3, 5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27\/7*s**3 + 3\/7*s**4 + 6*s**2 + 0*s + 0 = 0. What is s?\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -13*d**6\/30 + 6*d**2 - d. Differentiate p(j) with respect to j.\nAnswer: -52*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 502 + -2007\/4. What is the nearest to b in 0.3, -0.1, 2\/17, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 25\/34 (b) -75\/14 (c) 1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m**4 - 76*m**3 - 372*m**2 + 808*m + 224 = 0. What is m?\nAnswer: -4, -1\/4, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -543508 or -543509?\nAnswer: -543509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(2\/19)))\/(i*i*(i**1*i)\/i*i))\/((i\/((i\/(i*i**(-2\/5)))\/i))\/i)**(-13\/7) assuming i is positive.\nAnswer: i**(-1989\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*w = -9 + 2, -2*h - 3*w = -1. Suppose -18 = -h*b + 3*q + 5, 0 = 4*b + 3*q - 19. Solve -b = 3*y - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -652 and -695 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2173 + -2172.99995881. Round y to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - b + 26 = 0, -4*b = c - 5*b - 4. Suppose -c*g + 1 = -4*p, p + 0 - 1 = g. What is the least common multiple of p and 51?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a hour in seconds?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 43*i + 262. Let h be q(-6). Suppose 0 = -7*s + 4*s + 117. What is the units digit of 1593\/s + h - (-2)\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 423, 255, 79, -105, -297?\n\"Answer: -4*h**2 - 156*h + 583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -809\/20 - -131\/5. Let z be (4420\/(-12))\/((-6)\/(-27)). Let f = 4907\/3 + z. Find the common denominator of f and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-1)**2*-3.\nAnswer: -1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5635.28 rounded to the nearest 100?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 5359.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s**5 + 344*s**4 + 1105*s**3\/2 - 2357*s**2\/2 + 266*s - 16 = 0 for s.\nAnswer: -8, -4, 1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 5 = 13*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 33 - 21. Let w = 28 - 198\/7. Which is the third smallest value? (a) 0.2 (b) -2 (c) g (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1339*g**2*i**2 - g**2*i - 187*g*i**2 + 3*g*i wrt g.\nAnswer: 2678*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 23*c - 5. Let q(x) = -126*x + 28. Give -28*g(h) - 5*q(h).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/2 - (-2090)\/(-190))\/((-20)\/2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 597 + -587. What is the nearest to 0.1 in -3\/2, 0, z, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -55*h**3 - 55*h**2 - 55*h. Let q(w) = 2*w**3 + w**2 + w. What is 2*m(r) + 110*q(r)?\nAnswer: 110*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**3*y*y)\/(y**1\/y))\/(y**(1\/3)\/y)**1 assuming y is positive.\nAnswer: y**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167727 (base 9) to base 8.\nAnswer: 313256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51215 and -0.02.\nAnswer: 1024.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2141*u + 60*u**2 - 12*u**2 + 65*u**3 - 89*u**4 + 2171*u + 108*u**4 + u**5 + 29*u**2.\nAnswer: u*(u + 1)**2*(u + 2)*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*a - 4. Let t be -3 + a\/1*1. Sort t, -3, -5 in increasing order.\nAnswer: t, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73.943 - -74. Let h = t + 7.343. Let p = h + -7. What is the closest to p in 0.4, -0.1, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1114*n**2 - 5*n + 10. Let m(z) = 3342*z**2 - 14*z + 28. Give -28*g(k) + 10*m(k).\nAnswer: 2228*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/45*(-27)\/6. What is the common denominator of 44 and 5356\/7488 + 10\/r?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 1345204*k + 1. Let s = -51 + 50. Let w be n(s). Let d = w - -2505203. What is d rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 4:58 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -75589, -75597, -75609, -75625?\n\"Answer: -2*d**2 - 2*d - 75585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -9*z**3 + 2*z**2 + 4*z. Let o(x) = 4 + x**2 - 5 + 1 + 2*x - 5*x**3. Let b(n) = 7*o(n) - 4*t(n). Suppose b(g) = 0. What is g?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1229941079 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:35 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1532 + 1532 - 35*t - 5*t.\nAnswer: -40*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 23*j - 46*j - 992 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/44 and -5\/19428.\nAnswer: 213708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -7*a**4\/24 + 31*a**3\/6 + 30*a**2. Let l be p(4). Solve -l*m - 3 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349257.\nAnswer: 3, 47, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 83.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23191587 is divided by 2001.\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 460, 464, 470, 478, 488?\n\"Answer: c**2 + c + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 5*z)*(-571 + 300 + z + 306).\nAnswer: 2*z**2 + 70*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 22 = -3*b - i, 0 = 2*b - i - 25. Solve -4*x - 6 = 2*v, 5*x + b - 8 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + 3*o)*(160*o + 1277 + 1335 - 161*o + 100).\nAnswer: -o**2 + 2712*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 38. Solve 0 = -9*c + 4*c - 5*u + 5, 2*c - z = 3*u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2155308.\nAnswer: 2, 3, 293, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*u - 3 + 814*u - 16*u**2 - 366*u - 366*u.\nAnswer: -16*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 44*n**2 + 292*n - 258. Let u(b) = -4*b**3 + 222*b**2 - 1460*b + 1284. Let o(f) = -6*u(f) - 28*x(f). Let o(j) = 0. What is j?\nAnswer: -30, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put together 758 and -0.3.\nAnswer: 757.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 5.373?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*y = -5, 2*y = -20419*f + 20462*f + 47 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 20*w - 40. Give t(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 26 + 8 = 0. Find the third derivative of 6*i**2 - 3*i**2 + 0*i**4 - 4*i**b + 0*i**4 wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b + 18. Suppose -3 = -u - 2*d, -3*d - 20 = -u - 7. Calculate n(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10, 5, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11\/(-99))\/(2\/12). Let o = 0.4 + -0.1. Let l = 4.3 - o. What is the biggest value in -4, l, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 12*i - 34. Let w be k(4). Suppose -w = -23*j + 16. What is the nearest to 10 in -4, -4\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150\/373 + 673\/746. Let y(p) be the second derivative of 0 + 1\/6*p**3 - 42*p + q*p**2. Calculate y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/4)*a**33)\/(a**8)**41 assuming a is positive.\nAnswer: a**(-1183\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 - 4)*(2 + 1 - 5) + 1 + 1 + 0)*(6*m - 7*m + 2*m)*(5 - 4 + 0).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2)\/1 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60.3 * -0.11.\nAnswer: -6.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10285 is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-3 - sqrt(144))\/(sqrt(96)\/sqrt(3)) - -6*(sqrt(98)*2*3)**2*-2.\nAnswer: -42336 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207576, -207577, -207578, -207579?\nAnswer: -207580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 19*l**3 - 6*l**2 - 4*l. Let b(h) = -5692*h + 5699*h + 6*h**3 - 43*h**3 + 11*h**2. What is 4*b(p) + 7*w(p)?\nAnswer: -15*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1012490 by 9830.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -419*i - 4. Let v(k) = 4*k. What is v(q(t))?\nAnswer: -1676*t - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-2)*1879\/3758*2\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -265 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f**2 - 6*f**2 + 10*f**2)*(3*f**3 - f**3 - 3*f**3 + (-1 - f + 1)*(0*f**2 - 2*f**2 + 0*f**2)).\nAnswer: 11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4042*c + 2*c**3 + 1 - 1 - c**2 - 2*c**4 + 4016*c in the form y*c + a*c**2 + q*c**3 + l + d*c**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3740694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.059 <= 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:23 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 53 = -63. Suppose -4*k - 74 = -2*o, -20 = -o + m*k + 17. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.039 * -306\nAnswer: 3377.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1579*y + 85568. Calculate i(54).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - 0.1. Let w = x + 14.8. Let g = w + -13. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*t = -0*a + 58, -t = -5*a + 74. Let u be (-3 + (-20)\/(-6))*a. Solve -3*i - 2 = 2*j, 18 = -3*j + u*i - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 308073744.\nAnswer: 308073744.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 10 = 3*v, 4*j + 49 = 5*v + 43 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.29 - -0.01. Let c = 0 - w. What is the smallest value in c, 1\/4, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27692)\/(-11438))\/(4\/38)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqftqqfqtt. Give prob of picking 1 q, 1 f, and 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67170 - 25.\nAnswer: -67195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2187*u + 4377. Let n be y(-2). Suppose -12 = -4*q + 8. Suppose 0 = -2*h + 1 + q. Solve 0 = h*a + n + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -42. Let k(x) be the third derivative of 11*x**5\/60 - x**4\/12 + 3*x**2. Let m be k(-2). What is the greatest common factor of m and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(5\/(70\/4)). Let d(g) = 5*g**2 - 3*g - 1. Let b(t) = 9*t**2 - 5*t - 2. Let z = 12 - 8. Let x be (-130)\/(-35) + z\/14. Give o*d(p) + x*b(p).\nAnswer: p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k + 251 = 218 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 16*t**2 - 3 - 71*t**2.\nAnswer: -55*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + f - 2. Let i = 71 - 73. Determine v(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44149.14 grams to micrograms.\nAnswer: 44149140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 19166497.\nAnswer: 114998982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/679239 and 43\/1605474.\nAnswer: 17660214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 - (-89 - (-127 - -40)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -997.926+-6161\nAnswer: -7158.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(171))\/((sqrt(108)\/sqrt(2))\/sqrt(6)).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by -9.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 - 0?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.8407 milligrams in micrograms?\nAnswer: 193840.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -1\/6 (b) -4 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11412.86 from -20.347.\nAnswer: -11433.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36161 is divided by 1446.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*6\/108)\/(133\/(-21))?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63355 is divided by 146.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 38. Let t(j) be the second derivative of 0 + v*j**2 + 0*j**5 + 0*j**3 - 1\/12*j**4 - 1\/15*j**6 + 2*j. What is the third derivative of t(m) wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = y - 5*h, -3*y + 5*h = -12 + 40 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/10080 and -71\/840.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Suppose -h = -2*d - 0*d - 4, 4*d = -v*h + 40. Is 12 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566991.\nAnswer: 643, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -24772*f. Let t(o) = 894*o**2. Give x(t(q)).\nAnswer: -22146168*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.5 - -0.3. Let v = z - -0.2. What is the closest to 0 in 2\/9, -2\/11, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6940560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 135\/6*12\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {m: 6, n: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*r - 108, -5*j = 2*r - 129 - 117. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 241402 * -24.\nAnswer: -5793648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(209) - sqrt(209))*3)\/sqrt(11) + (-5*(sqrt(2299) + -2))**2.\nAnswer: -1115*sqrt(19) + 57575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - -1) + 0\/1. Let a = n + -9. Suppose -s + 5*s - 8 = 0. Solve h - a*u - s = 0, -2*h = -4*h + 4*u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 1. Let f(o) = o**2 + 43*o - 26. Let x(i) = -i**2 + 29*i + 78. Let w be x(32). Let y(n) = w*s(n) - 2*f(n). Let y(v) = 0. What is v?\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*w - 3*x + 8*x, 0 = 5*w - 2*x + 2. Suppose w = -4*g + 6*g. What are the prime factors of (15\/(-3))\/(-1) + g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 4790*p + 23924. Give n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4690)\/6566*(-7 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/4 (b) 9 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - o = -8040, 0 = 5*n - 4*o + 6*o - 13399. List the prime factors of n.\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -101586*d + 1219035. Determine y(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -72 + 15548.\nAnswer: 15476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2856*k. Let l(r) = 16271*r**2. Give l(o(j)).\nAnswer: 132718251456*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -12*x. Let h(k) = 10*k**2 - 11497. Calculate d(h(b)).\nAnswer: -120*b**2 + 137964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d - 20 = 2*a, -4*a + 5*d - 68 = 0. Let y(g) = g**2 - 2*g + 7. Let b be y(a). Let z = b + -80. List the prime factors of z.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1824\/25, 3\/2, 18, 6 in descending order.\nAnswer: 18, 6, 3\/2, 2\/5, -1824\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3800*j - 1 + 3799*j - 697*j**2 + 0.\nAnswer: -697*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 46*u. Let q(p) = 625*p**2. What is q(z(o))?\nAnswer: 1322500*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**5\/10 + h**4\/12 + h**3\/6 - h**2\/2 - 3*h + 39. Let m(v) = -v**3 + v - 1. Determine 2*k(x) - 2*m(x).\nAnswer: 6*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 u when four letters picked without replacement from jjuuj.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r + 4 - 4 + 12*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -822182 or -822180?\nAnswer: -822180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*n - 244*n + 291*n**3 + 696*n - 228*n - 302*n**3.\nAnswer: -11*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2169 (b) 0.1 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 216 = 3*s. Let d = 74 - s. What is the remainder when d is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*u + 3*u + 33, 3*q + 3*u + 27 = 0. Let t be (3 - 2) + (q\/14)\/1. What is the second smallest value in -1\/4, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8 = -8. Suppose -4 = -a*d, q - d + 2*d - 2901 = 0. Suppose 0*z + z = -q. What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 18216?\nAnswer: 72864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - v = -14, 21*q - 22*q + 5*v - 13 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 256*a. Let t(p) = -9*p**2 + 7*p + 14. Let j(v) = -v**2 + v + 2. Let r(h) = -7*j(h) + t(h). Calculate r(z(w)).\nAnswer: -131072*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(10\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 - r - 2. Let q be n(-6). What is the second derivative of -i - 3*i + 3*i - 3*i**4 + i**q wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.12 + 1.02. Which is the third biggest value? (a) 5 (b) 2\/7 (c) w (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.1 - -22.8. Let l = 14 + u. Let i(g) = -45*g - 88. Let k be i(-2). Is l less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -3*i**6 + 5*i**3 + 19. Find the third derivative of l(n) wrt n.\nAnswer: -1080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -2*r**3\/3 + 3856*r + 1. Let u(v) = -1790*v**2 - 2*v. Calculate u(f(p)).\nAnswer: -28640*p**2 + 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 16*w**3 + 1469*w**2 + 60502*w - 28. Let b(r) = 11*r**3 + 979*r**2 + 40334*r - 20. Let l(y) = -7*b(y) + 5*f(y). Determine i so that l(i) = 0.\nAnswer: -82, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -5*j - 17*g + 2299, 2285 = 5*j + 5*g. What is the greatest common factor of 261 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34841218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.362732 years to millennia.\nAnswer: 0.002362732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let p(u) = -13*u**2 - 3*u**2 + 2*u**2 + 0*u**2. Calculate p(v(w)).\nAnswer: -56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7232418 a multiple of 2721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -285453 divided by 1773\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Convert 15329.01 nanometers to millimeters.\nAnswer: 0.01532901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7424)\/(-12) - 9\/(-27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -910 + 1819\/2. Let g = -37.5 + 37.2. Which is the biggest value? (a) g (b) x (c) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564665 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*s - 5, -s - 17 + 45 = -5*b. Let i = 14 + -10. Solve s*q + 1 = 6*q + i*h, -2*q - 2*h - 2 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.37*-5\nAnswer: -6.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 0, -5, 4, -601 in decreasing order.\nAnswer: 55, 4, 0, -5, -601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111000001000 + 1?\nAnswer: -1011111000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 27. Let i(n) = -n**2 + 5*n - 2. Let a be i(l). Solve -u - 3 - a = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -s + 9*t - 4*t, 0 = -2*s - t - 30. Let j = 23 + s. What is the remainder when 19 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 7:34 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -1 - (-14 - -13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (-1*sqrt(1900) - sqrt(1900)) - (-3 + -2 + sqrt(19)) - (sqrt(95)\/sqrt(5) + -2 - (3 + -1 + sqrt(19)))) + 1)**2*-4.\nAnswer: -30800 + 1600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -6*s**4 + 4594*s**3 - 34896*s**2 + 21224*s = 0.\nAnswer: 0, 2\/3, 7, 758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133391, -133390, -133389, -133388, -133387?\nAnswer: -133386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 4. Suppose -l - 35 = -5*p + 4*l, l + 28 = 4*p. Suppose -v + 5 + p = 0. What is the remainder when v is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-6.53\nAnswer: -13.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkvphug. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 + 57. Suppose -2*v = 1 - n. What is the lowest common multiple of v and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3\/2, 1.66, -2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 7036.\nAnswer: 21108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 2, 397, -3, -5 in increasing order.\nAnswer: -5, -3, 2, 49, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 18*b = -4*t - 118, -4*t + 50 = b. Calculate the greatest common divisor of b and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 247728 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 2366.\nAnswer: 23660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 9 + (4 - 6). Suppose -5*w + 1 + i = 0, -262 = -4*p - 3*w. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) -93 (c) -3\/101 (d) 3\/4 (e) 0.4 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5635020089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29092 + 15495. Let h = n + 951751\/70. Let f = -5\/14 - h. Which is the second biggest value? (a) -3 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15938 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 4*w - 7*w. Let b = w - -45\/2. Put 5\/2, 5, b in descending order.\nAnswer: 5, 5\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 77.17496 milliseconds?\nAnswer: 77174960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/24)\/((-27)\/108*-21)*(-4)\/6.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 1. Let x(d) = 13*d + 29. What is -5*m(l) - x(l)?\nAnswer: -3*l - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -0.197542?\nAnswer: 3.802458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 13*j - 317. What is w(27)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 66*h**2. Let g(x) be the second derivative of -3*x + 0*x**2 + 0*x**3 - 1\/12*x**4 - 7. Calculate t(g(j)).\nAnswer: 66*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, 4, 2\/19, -6\/293?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*((2 + sqrt(675) + -2)*-5 - (3 + sqrt(675) + sqrt(675) + 2 + -1))**2.\nAnswer: 3360*sqrt(3) + 132364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7855887703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24*(-473)\/(-3096))\/((-1)\/(-9)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4302 divided by 15?\nAnswer: 1434\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*y, 2*c = -5*y - 2 - 1. Let j be 0 - (y - 1 - 2). Solve 6*v = j*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(588))\/(sqrt(4) - sqrt(400)*2))**2.\nAnswer: 588\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74221 divided by -161?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.149 + -0.14900073. Round t to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 6*k. Let s(p) = p**2 - p. Calculate -2*s(m) + z(m).\nAnswer: -3*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-12))\/(1911\/5096)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2217*m**3 + 1 + m**2 - 2222*m**3 + 13 + 6 as t + b*m + s*m**2 + f*m**3 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2422 - -10?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8413*i. Let d(n) = 9334*n**2. Calculate c(d(y)).\nAnswer: -78526942*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 10 = -5*u, -18 = 2701*u - 2698*u - 3*b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3325.076 times -23\nAnswer: -76476.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0058585 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102587614377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/33392 in 2, -4\/5, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 - 299*t**2 - 60*t - 13501. What is m(150)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**31 assuming p is positive.\nAnswer: p**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.095.\nAnswer: -0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 - -133. Let f(y) = -y**2 - 7*y - 5. Let v be f(-5). Suppose l + 2 = v. Which is bigger: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318392 divided by 79598?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = -4*o + 2, 15 = -3*h. Let k(s) = 1 - s + 5*s - 2*s**2 - s. Let d(u) = -u**2 + 1 + 2*u**2 + 41*u - 37*u - 3*u**2. Give o*k(b) - 2*d(b).\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - -93. Suppose 4*x = -3*o - 2*o + 59, -3*x = -5*o + j. Suppose 2*p - o = p. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - sqrt(76)*1*-5 - sqrt(76)) + (sqrt(76) - -3*(sqrt(76) + -2*sqrt(76) - sqrt(76))))\/(2*-5*sqrt(100)) + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73803697 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 613 by -1301.\nAnswer: -613\/1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -194 + 194 + 19*f**2 + (-f + 3*f + 2*f)*(0*f + 4*f - 2*f).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 260 - 252. What is the least common multiple of 20 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j + 14. Let m(b) be the first derivative of b**4\/4 + 2*b**3 - 3*b**2 + 10*b - 1. What is the units digit of m(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = z + 24, 3*w + 2*z = 6 + 1. Suppose -2*u + 15 = -13. Suppose 3*p - u = p. What is the remainder when p is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 45*x**5 + 295*x**4 + 265*x**3 - 495*x**2 - 310*x + 200 = 0?\nAnswer: -5, -2, -1, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 + 64*o + 512 = 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihh when three letters picked without replacement from {f: 7, h: 2, n: 4, q: 2, i: 1}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 161*h**2 - 218*h**2 - 228*h**2 - 24 + 24 to u + v*h + z*h**2 and give z.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -328611509?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -18. Sort 0.5, l, 0.2 in decreasing order.\nAnswer: l, 0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.58, 0.4, -5\/8, -10?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g**3 + 443*g**2 + 715*g + 1463. What is y(57)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/705 and 49\/1053?\nAnswer: 247455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -18238390 times 5\nAnswer: -91191950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**5\/60 - 2*m**4\/3 - 161*m**3\/6 - 11*m**2 + 116*m - 2. What is l(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Let x = 0.615 - 0.315. Are h and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 138725 (b) 3 (c) 1\/5 (d) -4\/5 (e) 0 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*r - 125*r = 741. Suppose n = -2*s + r, 5*n + 4*s = -0*s + 1229. 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: Suppose -3*o - 6*c - 42 = -3*c, -c = -5*o - 76. Let r = -11 - o. Suppose -r*y + 66 + 6 = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**8*z**(-2))\/(z*(z\/((z*z**(-6))\/z))\/z*z**(-9)) assuming z is positive.\nAnswer: z**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -75, -148, -221, -294?\n\"Answer: -73*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 5*d + d - d to the form n + i*d and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 2988182*a**2.\nAnswer: a**2*(a - 11952728)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 - 6*p**2 + 4*p. Let o(w) = -3*w**2 + 12*w - 19*w + 14*w**2 + 5*w**3. Give -11*c(f) - 6*o(f).\nAnswer: 3*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88687 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16571025*q**3 + q - 3796125 wrt q.\nAnswer: -99426150*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 250.\nAnswer: -7\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34320 and 100?\nAnswer: 171600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*o - 228927 + 69887 = 0. What is the smallest common multiple of o and 840?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1239 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 386 - 354. Suppose -173*g + 181*g = b. Calculate the greatest common divisor of 12 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10442)\/(-6) - (-20)\/30) + (-1 - 3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = 23*d - 42. Suppose -17*v + 8 = -d*v. Let m(u) = 5*u**2 - u - 2. Does 5 divide m(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64125807 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**3\/3 + 136*k**2\/3 - 394*k\/3 + 260\/3 = 0. What is k?\nAnswer: 1, 2, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/87 and -113\/216.\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3*o = 15. Suppose 4*m + 35 = r, -57 = -5*r - o*m + 49. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 11*x - 52. Solve 3*i - x = 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 163*z**4 + 83927*z**3 - z**2 + 288965*z + 618?\nAnswer: 1956*z**2 + 503562*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p - 3*p - 3*p)*(-4 + 4 - p)*(-4 + 5 - 7) as q*p + r + m*p**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: -0.07 times 5\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-6)\/((-70)\/294*6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**0))**30\/(p*p\/(p*p**0*p*p*p))**(-10) assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5*x**2 - 5*x - 8. Determine n(10).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-187)\/(-51))\/((-33)\/(-135))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(1 + (-3)\/(-3)). Suppose 0 = 12*s - 42 - 18. Solve t*a = -2, -a = -3*b + a + s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11900069 and 4?\nAnswer: 47600276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 105. Suppose -d = -10*u - u. Suppose 2*j + 127 - 437 = -u*k, -4*k + 457 = 3*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374491373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 8*i**2 + 7*i - 5. What are the prime factors of q(8)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/1767 - 374584\/8835. Let z = n - -42. What is the closest to 0.1 in -2, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 29*d**2 - 13*d - 20. Give p(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 978*c**3 + 106251*c - 212509*c + 106256*c.\nAnswer: 978*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 985*z + 15*z**2 + 985*z)*(-z + z - 2*z) + 0*z + 0*z + z**3.\nAnswer: -29*z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2126 + -33995\/16. Let l = w - 17\/16. Which is the nearest to 20? (a) 0 (b) 2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19748714*m**3 - 39497098*m**3 + 19748386*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -3*t**5\/20 - t**4\/24 + t**3\/6 - 5*t**2. Let n(r) = 8*r**2 + r - 1. Let x(u) = 5*n(u) + 4*p(u). Is x(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 507770 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b + 102*b - 378017000 = 0. Round b to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -16*j - 14 - 8 + 21. Let a be 21\/(-27) + (-4)\/18. Determine p(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 0*q**2 + q - 1\/3*q**3 + 2. Let f(h) be the first derivative of x(h). Let m(y) = -3*y**2. What is m(f(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 - 72 = 0. Let j(d) = d**3 + 13*d**2 - 14*d - 4. Let m be j(-14). What is the units digit of (f\/m)\/((-19)\/304)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 98*n**2 + 17*n + 51. Let c(y) = 33*y**2 + 6*y + 18. Let p = 207 - 190. Let d(v) = p*c(v) - 6*f(v). Let s(w) = -4*w**2. Determine s(d(r)).\nAnswer: -2916*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 4*p**2 + 6*p - 3. Let k be q(-6). What is the common denominator of 1 + -4 - (-246)\/k and 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17301 - -10675. What is the ten thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o + 4, 5*u - 2*o + 42 = 0. Is (2517*(-8)\/36)\/(u\/15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + -0.08. Let q = -6.65 + 6.52. Let r = q - t. Which is greater: 0.032 or r?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -51. Let d(t) = -t + 2. Let p(f) = -f**2 + f. Let x be 0\/1 + 0 + -1. What is l*p(k) + x*d(k)?\nAnswer: -k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 2, -7, 4 in descending order.\nAnswer: 4, 2, -7, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1647821*m**5 - 175732*m - 1.\nAnswer: 32956420*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3549 (base 12) in base 11?\nAnswer: 452a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22991*f**5 + 15105*f wrt f.\nAnswer: -459820*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 13) to base 11\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 2654, 4, -5, 5, 8 in decreasing order.\nAnswer: 2654, 8, 5, 4, -1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/l**(-2))\/l))**(-43))**31)**(-2\/23) assuming l is positive.\nAnswer: l**(-2666\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 12*b - 17. Let h(g) = -2*g + 1. Give 6*h(k) + q(k).\nAnswer: k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 219820*c + 2. Let z be p(-3). Let m = -1639458 - z. Round m to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 32*d**3 + d**2 - 2*d + 1. Is r(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q = -2*y + 24, q = 4*y - 20. Solve 18 = y*v + 36 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*6\/(-27) - (-1695)\/(-9). What is the closest to 2 in -1, x, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) 103 (c) -13\/3 (d) 0.3 (e) 0.012\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - o - 1. Let p(i) = i + 5. Let c be p(-3). Let j(r) = -3 + 5 - r + 3*r**2 + c. Let v(h) = -4*b(h) - j(h). What is v(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w + 5*b = 33*w + 149, -15 = 3*b. Suppose 18*v - 2 = 16*v, -5*c + 5654 = -v. What is the highest common divisor of c and w?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1001 or -907?\nAnswer: -907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -594*j**3 - 457*j**2 - 9*j + 9. Let c(p) = 149*p**3 + 114*p**2 + 2*p - 2. Let u(a) = 9*c(a) + 2*x(a). Find the third derivative of u(y) wrt y.\nAnswer: 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3640 - 3640.02531. What is g rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 4. What is the remainder when 10 is divided by l(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a + 3*a)*(a**4 - 2*a**3 + 2*a**3) - 5*a**5 + 2*a**5 - 2*a**5 + (-2 + 4*a**2 + 2)*(0*a**3 - a**3 + 9*a**3).\nAnswer: 29*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*w - 2200 = 0, 0 = 5*c - w - 2863 - 813. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -806.701 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - (-3)\/(-3))*(-2)\/(-4). Which is the closest to -0.1? (a) 3 (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/20 + 5*h**4\/12 + h**3\/2 - 4*h**2 - 6*h. Let f be j(5). What is the derivative of f*u**3 - 2 + 4 - 1 - u**3 wrt u?\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62465, 103747, 145029, 186311?\n\"Answer: 41282*y + 21183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + 3*h**5 - 19*h**4 - 5*h + h + (-2*h**2 + h**2 + 3*h**2)*(5 - 5 - h**3).\nAnswer: h**5 - 19*h**4 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = f, -f + g + 2 = -7. Suppose -y + u + 3*u - 7 = 0, -2*u = y - f. What is the remainder when 31 is divided by 38\/y + 4\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45824 is divided by 45710.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9171 + 10*f**3 - 9171.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(280)\/sqrt(8))\/sqrt(5))**2 - (-4 + 6*-2*sqrt(7))**2.\nAnswer: -961 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**2\/3 + 66400*s\/3 - 5286400\/3 = 0.\nAnswer: 80, 16520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 6*(-8)\/(-6). Let u(t) = t**2 + t - 4. Let q be u(-5). Let x be (q\/(-24))\/((-1)\/3). What is the greatest common divisor of x and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 637533646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from pzppaam.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 555 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55928 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**5 - 896*f**4 - 6492*f**3 + 90720*f**2 = 0?\nAnswer: -216, -15, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**8\/28 - 11*k**6\/120 - k**4\/6 - k**3 + 12*k**2 - 5. Find the second derivative of n(t) wrt t.\nAnswer: 240*t**3 - 66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -3546?\nAnswer: 3545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379.3616 months in years?\nAnswer: 114.9468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6))\/((-7)\/42).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -541 + 215a?\nAnswer: 1c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.74 + 0.84. Let c be (-6)\/(-2)*1\/6. Is d at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times 44\nAnswer: -7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -9*g**2 - 9*g + 11. Let k = 5 + -16. Suppose a = 5*a - 20. Let s(p) = 3 + a*p - 9 - 35*p**2 + 40*p**2. Give k*s(x) - 6*q(x).\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10*t**2 + 9*t. Let k be a(-7). Suppose -4*x - 139 = -k. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 8830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 167581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17322 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -54, 17.\nAnswer: -54, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -126, -2, 0, -18, 5 in increasing order.\nAnswer: -126, -18, -8, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) 0.5 (b) 242 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*w - 15. Let t(v) = v**3 + 4*v**2 + 3*v + 4. Let b be 1\/(-1)*(5 + -2). Let u be t(b). Solve -4*q = u*j - q - 19, 4*j - 13 = w*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.301 rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 6 - 16*s - 2*s)*(4 + 7 + 8).\nAnswer: -342*s + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143264 and 6660.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96.24*-12.\nAnswer: 1154.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 10:11 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*w - 3, 5*o - 24 = -5*w + 2*w. Suppose -b + w*b = 12. Suppose 3500000 = h - b*h. Round h to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -18*c**7\/35 - c**6\/60 + c**5\/12 + 23*c**4\/24 - 4*c**2 - 39*c. Find the third derivative of a(q) wrt q.\nAnswer: -2592*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21302 + -1011?\nAnswer: 20231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 329993 (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 12:41 AM?\nAnswer: 455","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 + 32292\/28. Suppose z - 8853 = -q. What is q rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 + 0.09. Let n = -0.05 - -0.15. What is the closest to n in 2\/9, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/21420 and -97\/270816.\nAnswer: 69058080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = 5*u + 4*q, -5*u = 3*q + 11. Let c be ((-2)\/u)\/(1\/2). Solve -z + c = -1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1, -2\/29, -0.029?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2758 and 11032?\nAnswer: 11032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4300847411.\nAnswer: 7, 614406773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -1185588*h**2. Let p(g) = 2*g. Give a(p(j)).\nAnswer: -4742352*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/(-123))\/((-18)\/(-4))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5830553615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**4\/18 - 40*n**3\/27 + 100*n**2\/9 - 891. Find m, given that d(m) = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -37. Solve v = -3*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/336 and -67\/44302.\nAnswer: 7442736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 11*l**2 - l + 2 - 2*l**2 - 3. Let p(d) = 4*d - 48. Let m(s) = -s + 12. Let f(a) = -9*m(a) - 2*p(a). Let w be f(11). What is v(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = -30*o + 3000. What is the remainder when o is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -251.97 - -256. Let i = 0.03 - c. Let q = 1 + i. Sort q, -0.5, 2 in decreasing order.\nAnswer: 2, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939219001 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 163034260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3\/33 + g**2\/11 + 24*g\/11 + 85. Factor l(o).\nAnswer: -(o - 6)*(o + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.61 and 4968379168.\nAnswer: 4968379167.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -204 + -34?\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2631 = -5*d, -2*j - 1398 - 178 = -3*d. Suppose 0*s = -2*z + 2*s + 208, d = 5*z + s. What is the remainder when z is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20782 or -20783?\nAnswer: -20782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.54 and -4.3.\nAnswer: 6.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15706, 15731, 15756, 15781, 15806?\nAnswer: 15831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*h**2 + 78*h**2 - h**3 + 193 - 188 + 79*h**2.\nAnswer: -h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.4 + 15.2. Let y = h - -27. Let n = -3.8 - 0.2. Sort 0.3, n, y in decreasing order.\nAnswer: 0.3, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206\/(-90) + 16 + (-4 - -1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -59160 divided by -14790\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18497*n**2 + 24. Let c(g) = 147975*g**2 - 198. Give -4*c(r) - 33*x(r).\nAnswer: 18501*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 35 - 160. Let f = -45 - q. What is the remainder when 135\/f*20\/(-25) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-324) - (-3)\/(54\/7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5100\/18360)\/((-182)\/45 - -4)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1740 is divided by 193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 424\/23 + -6926\/483. Calculate the common denominator of 83\/33 and k.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.103 and -0.4?\nAnswer: 0.0412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/5*w**2 + 4\/5*w**5 + 24\/5*w**4 + 56\/5*w**3 + 8\/5 + 36\/5*w.\nAnswer: 4*(w + 1)**4*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 10. Suppose o*v + 21 = 3*v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + o - 4*o)*(2 + 0 + 1)*(0 - 7 - 1 + (3 - 2 + 0)*(3 - 1 - 1) + 0 - 2 - 1) to y*o + s and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78910 - -78901. Let t(m) = 0*m - 2*m - m**2 - 5*m + 13. Calculate t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 14*l**2 - 2*l - 25. Let o be j(-14). Suppose -340 = -14*d + 13*d - o*h, -2*h + 684 = 2*d. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 36. Suppose -5*f + l*f - 25 = 0. Is 13 a factor of 69\/6*(-3 - f) + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -139.4 and 12.5?\nAnswer: -1742.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 2*n - 3995 - 2797 + 4*n + 1068.\nAnswer: n - 5724","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-6))\/((-1)\/16). Suppose 2*k + 3 = 15. Suppose -3*h + 20 = -5*y + k, y - c = -3*h. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9*1*11487. Let c = -61365\/16 - r. What is the common denominator of c and -49\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/1*((-3)\/15*(-520)\/52)\/16?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnvbrrs. Give prob of sequence nbnr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c + 5. Determine k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19564748 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**19\/((n**(-1\/7)*n)\/n))\/(n*n\/((n**21*n)\/n)*n*(n\/(n\/n**(1\/2))*n)\/n) assuming n is positive.\nAnswer: n**(513\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 98, 222, 448, 806, 1326?\nAnswer: 2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*o - 140, -2*u - 102 - 106 = -5*o. Suppose i - 4*x = x + o, -x - 104 = -5*i. Suppose i*m = 27*m - 1015. List the prime factors of m.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 9:13 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26253 - -57322. List the prime factors of f.\nAnswer: 31069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 5*p + 88780, 151*i - 149*i + p = 44402. List the prime factors of i.\nAnswer: 5, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 30*x + 2. Let w be h(30). Solve -w*i + 9 = l - 2, -7 = -4*i + 3*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**4\/14 + 4*a**3\/21 - 9*a**2\/7 - 36*a\/7 + 451. Find g, given that b(g) = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + (-3)\/((-3)\/(-1)). Let c be -4 - g\/((-7)\/(-10)). Let q be (-8)\/6*c\/4. Let r(o) = -o**2 + 2. Determine r(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*n - m + 205 = 0, 145*m = -4*n + 143*m + 154 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a - 8. Let n(p) = 4*p - 3. Let j(i) = 8*n(i) - 3*u(i). Let b(x) be the second derivative of 7*x**3\/2 - 158*x. What is b(j(c))?\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13e (base 16) to base 2\nAnswer: 100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) - (-2)\/(-5). Suppose z*g - g = -3*k, -2*g - 5 = -k. Let n be g + 45 + 3\/1. What is n rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/(sqrt(24)\/sqrt(4)) - sqrt(30))\/(sqrt(6) + sqrt(54)\/(sqrt(9)*2)) - (((sqrt(5) - 4*sqrt(5)) + 5)**2 + 4*(sqrt(125))**2))*4.\nAnswer: -2280 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83 - 50. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -p - 2*a, -7*p + 2*a + 58 = -4*p. Let s(v) = -210*v + 2732. What is the smallest common multiple of s(13) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1358)\/(-776) - 226\/120?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1403278?\nAnswer: 3\/1403278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170294*p - 67903*p + 83120*p + 54535*p.\nAnswer: 240046*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -1. Suppose 5*h + 10 = -6*b + 5*b, b + 8 = -4*h. Suppose b = -2*z + x + 34. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53779 to the nearest 100.\nAnswer: -53800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f = -0*f + 2960 - 3974 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 761a4?\nAnswer: -761a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + 4 + -39 + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**4\/12 - 5*d**3\/6 + 2*d**2 - 54*d + 8. Let u(i) be the first derivative of r(i). What is u(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 + 132 - 144 = 162*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 738\/198 + (-9)\/(-33). Solve -2*n - 2*k - 8 = -4*k, -k = -b*n - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354125049.\nAnswer: 3, 151, 781733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 270726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 9*a - a)*((4 - 5 - 1)*(109 - 209 - 75) + 1 + 5 - 2).\nAnswer: -2832*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 u when three letters picked without replacement from {a: 3, k: 5, u: 1, t: 1, m: 3}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/12 - 3)*-3. Solve -k - q = 7, j*k + 3*q + 31 = -0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, 233, 231, 229, 227, 225?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/68 and (-25)\/(-259)*-7*(-2)\/(-4)?\nAnswer: 2516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 362 = 4*x, -8*x = -12*x - 2*w - 360. Let b = 162 + x. Let h = -65 + b. Calculate the remainder when 21 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**(2\/7)*u))**13\/(u**0\/u)**(2\/7))**(4\/7))**(2\/15) assuming u is positive.\nAnswer: u**(536\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 100001111001 (base 2) to base 11\nAnswer: 16a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516200*k + 2 - 2 - 42276*k - 1017867*k.\nAnswer: -1576343*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*j - 81*j + 18. What is the remainder when 48\/(-9)*6\/(-2) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppoppooppwopp. Give prob of sequence op.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -171*i**3 + 6*i**2 - i + 4. Let t be g(2). Let r = -742 - t. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19276 less than or equal to -14909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*h + 83*h**3 - 1 - 7*h + 251*h**3 - 2*h as g*h**3 + x*h**2 + t + a*h and give g.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 22 + 50 = 0. What is the remainder when s is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 686 = -14*f - 24*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5927, -5930, -5933?\nAnswer: -5936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 6*b - 5*a - 27, 6 = 4*b + 2*a. Find the second derivative of 10*m**5 - 8*m**5 + 0*m - b*m wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + 193934?\nAnswer: 193919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 6. Let z be n(-4). What is the units digit of (-3 - (0 - z)) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 521 + -519. Find the third derivative of -221*k**3 - 7*k**3 - 5*k**l + 3*k + 193*k**2 - 3*k wrt k.\nAnswer: -1368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -117*f + 844. Let c be h(7). Solve 2*g + 9 = 3*x, 28*x = 4*g + c*x + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/4 less than or equal to 8108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-2))\/((-3)\/14). Let m = i + -5. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 r when three letters picked without replacement from rbrbrrrrrrbrrrbbrrr?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 119 = 4*r. Suppose 5*y + 0*k + r = 3*k, 8 = -4*y - 2*k. Let v(m) = m**3 + 3*m**2 + 4. Determine v(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*w = 25, -c = 2*w - 0*w + 6. Let m be (20\/160)\/((-2)\/c). Let s = -602\/5 - -120. What is the biggest value in -0.1, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 36*t - 154. Calculate the remainder when 2449 is divided by b(6).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-52) + 6667\/2938)*(-12)\/(-80).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5156017457?\nAnswer: 5156017457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 4*f - 4*f)*(-1301*f - 1 + 4*f**2 + 1301*f).\nAnswer: 4*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f - 24*f = 60. Suppose -1030 = -5*p + f. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 9. Let x be s(-7). Let d(z) = 3*z**3 - z**2 + z. Let l be d(1). Sort x, -10, l in decreasing order.\nAnswer: l, x, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from eleeelsss.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6023 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q\/q**(9\/7)*q)))\/(q**(1\/14)\/q) assuming q is positive.\nAnswer: q**(37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225335255 and 40.\nAnswer: 1802682040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 10 + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*h = 22, 5*c + 5*h = 9 + 41. Let i = 28 - c. Solve 4*m + i = 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 41*a**2 - 4*a + 11. Let x be m(7). Suppose -x = 4*j - 16*j. List the prime factors of j.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -116?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1819*y - 2012*y = -252846 for y.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*c + 6*c + 5*c)*(-1 + 4 - 2) + 166*c - 24*c + 3 + 33*c to h*c + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1 (b) -4 (c) -48435\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or -1494?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-27)\/39) + 16\/(-12). Solve -4*u - 22 = i*q, 2*q + 0*q = -u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 57*l**3 + 7*l + 18. Let z(b) = -28*b**3 - 3*b - 8. Determine -6*j(k) - 13*z(k).\nAnswer: 22*k**3 - 3*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431 + 485 = -18*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.982 to one decimal place.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -15*u**2. Let j be n(1). Let x = 99 + j. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199991 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 14, t: 5}. Give prob of picking 3 t.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 3 - 5766*o.\nAnswer: -5766*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-35))\/(52\/(-455)) + (-82)\/4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*i + 13 = 0, 4 = -o + 3*o + i. Let z be (o + -1)*(54\/12 - 3). Suppose z*r = 2*r + 2*s - 3, -2*r + 34 = 4*s. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 2. Let x(n) = 2*n**3 - 4*n**2 - 7. Let s(z) = -5*z**3 + 11*z**2 + z + 21. Let k(d) = -3*s(d) - 8*x(d). Let o be k(-2). Determine v(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 3 + 5 = 0. Let t(p) = -6*p + 9. Let l be t(z). Suppose 3*u + u = -5*y + 16, -l*y - 2*u = -8. Solve 2*d - 3*d + 2 = y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 7. Let m be z(-9). Suppose -v - 39 = -m*v. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v + 4. Let y(f) = 2*f - 1. Let c(t) = p(t) + 3*y(t). Give c(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -34, -52, -70, -88?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -42*j. Let x be s(-7). What is the greatest common factor of x and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1942 + 430 - 1818 + 1185 - 1841)*(2*d**2 - d**2 - 2*d**2) in the form x*d + r*d**2 + t and give r.\nAnswer: 3986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 16*h - 5. Let n be o(-9). Let x = -93\/4 - n. Let z = -58 - -58.1. Which is the nearest to 0? (a) 3 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 5:57 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a + 2 + 0*a - 10*a - 15*a in the form k + b*a and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 10 = y, -2*l - 2*l = 3*y + 35. Let h(z) = z**2 + 12*z - 11. Let c be h(y). What is the first derivative of 2*p + 14*p**3 - c*p - 9 + 6 wrt p?\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -1 in decreasing order.\nAnswer: -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 14. Let w be y(11). Let q = -6336 - -6872. Calculate the greatest common divisor of w and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 1946637.\nAnswer: 15573096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + sqrt(228)*2)*-2 - (sqrt(228) - (sqrt(228) + -2*sqrt(228) + sqrt(228) - sqrt(228))*-1))\/(sqrt(132)\/(sqrt(11) + sqrt(99)*-1)).\nAnswer: -14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 16) to base 13.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m**(-3\/5)\/m*m)\/m)\/m)\/m)\/m)\/m**1*m**(-1\/4)*m*m\/(m\/m**(3\/2)) assuming m is positive.\nAnswer: m**(-67\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*u = 0. Let a(q) = -q - 2 - 1 + u. What is the units digit of a(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21353 - -30657. List the prime factors of o.\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -297*b**3 - b**2 - 3*b - 2. Let q be k(-1). Let h be 11\/(q\/6) - (-160)\/9. What is v in -12*v**2 + 4 - 7*v**2 + h*v**2 - 3*v**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 19*j + 1. Let t be x(-18). Find the first derivative of -18*o**4 + 2 + 8*o**4 - t*o**4 wrt o.\nAnswer: -116*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6089825nm in millimeters?\nAnswer: 0.0000006089825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 0.3 (b) 69 (c) -4 (d) 1481 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.23, 0.9 in decreasing order.\nAnswer: 0.9, -0.23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s - 34. What is the lowest common multiple of b(6) and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4635570?\nAnswer: 2, 3, 5, 191, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -9. Let k(t) be the second derivative of 0*t**p + 0 + 2*t - 3\/20*t**5 + 0*t**3 - 1\/6*t**4. Find the third derivative of k(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 3335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57285\/7 + 8184. What is the third biggest value in -232, -1\/3, -2, k, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2*q - 3)*(-1 + 1 + 2) - 3*q + 2*q - 2*q)*(-4 - 9 - 3).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253 and 6509.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**7\/420 + g**6\/6 + 5*g**5 + 250*g**4\/3 + 2500*g**3\/3 - g**2 - 3*g. What is v in p(v) = 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 139.7 - 139. Do -1\/7 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(21\/4)*h)**(10\/7) assuming h is positive.\nAnswer: h**(145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98264 - 93820 = 101*s for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -q + 20, -3*g + 3*q + 23 = -7. What is the remainder when 12 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3. Let f(j) = j + 10. Let h be f(-16). Which is the third smallest value? (a) -4\/7 (b) k (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 e, and 1 o when four letters picked without replacement from {u: 1, h: 2, r: 4, g: 1, e: 3, o: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*r**3 - 152*r**3 + 13*r**2 - 4*r**2 + 79*r**3 in the form b*r + z + a*r**3 + k*r**2 and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m**4 + 4*m**3 - 4*m**2 - 2*m. Let c(k) = k**4 - k**3 + k**2 + k. Let b(l) = -4*c(l) - q(l). What is the second derivative of b(i) wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2\/5 + 4792*h\/5 + 2868.\nAnswer: 4*(h + 3)*(h + 1195)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65303303.\nAnswer: 13, 5023331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 7*i**2 + 9*i + 5. Calculate c(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, u: 4, v: 2, d: 1}. What is prob of sequence uuv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 61*w - 65*w. Suppose 7 = q - 4*d, w*q + 0*d = d + 13. Suppose q*r + 3*f - 693 = 0, -f = -5*r + 4*f + 1155. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18188034?\nAnswer: 2, 3, 883, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12096, -12094, -12090, -12084?\n\"Answer: q**2 - q - 12096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 122036 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f - 13. Calculate b(11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c + c - c**2 + 2 + 4*c**2. Let m(d) = -d + 8. Let s be m(4). Suppose 8*w + 16 = s*w. Let k(t) = t. What is w*k(z) - x(z)?\nAnswer: -3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 399 - 402. Sort 1, m, 0.2, -0.03 in descending order.\nAnswer: 1, 0.2, -0.03, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 161 + 6*d + 155 - 3*d**2. What is w(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-252)\/(-231) - (-316)\/(-330).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7865 and 2730.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -40 times 0.37\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19690 divided by -11?\nAnswer: -1790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -71565 (base 8) to base 2\nAnswer: -111001101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50655, 50233, 49809, 49383?\nAnswer: 48955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of ((-16)\/(-28))\/((-7)\/((-550564)\/8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 9) to base 5\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 3)*(3 - 18 - 5)*(q - 3*q + q)*(3 - 6 + 2).\nAnswer: 180*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqq when three letters picked without replacement from {a: 1, q: 4, y: 8}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-10)*25\/5. Let t be (-12 + p)*(-10 + 8). Solve 26 = -2*v - 4*g, v + 2*g + t = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 12:41 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1566139*m**2 - 1755332*m wrt m?\nAnswer: -3132278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43062?\nAnswer: 2, 3, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -19. Let m(x) = -46*x**2 - 280*x - 28. Let q be m(-6). Sort o, q, 3 in increasing order.\nAnswer: o, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, i: 1, h: 2}. Give prob of sequence ih.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.4 - -15. Let u(p) = 2*p + 12. Let y be u(-8). Let z be y\/(-7)*(-21)\/(-30). Which is the nearest to -1? (a) t (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3177 minus 194415581?\nAnswer: -194418758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33380*o**3 - 4*o + 233 wrt o.\nAnswer: 200280*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 628, 607, 578, 547, 520, 503?\n\"Answer: t**3 - 10*t**2 + 2*t + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**5 - 138*c**4 - 572*c**3 - 868*c**2 - 582*c - 146.\nAnswer: 2*(c - 73)*(c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5 = 5*d, -54*d - 17 = -4*v - 51*d. Let w = -135 - -142. Let k = -6 + 11. Solve -v*z - k = -w*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/113 and (27\/(-16272))\/(2\/((-1160)\/(-30))).\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 - 5*z**4 + 3*z**4 + (z**3 + 2*z - 2*z)*(3*z - 4*z + 2*z) + z**4 - z**4 - 2*z**4 + z**4 + 1 - 1 - 2*z**2 - 11*z**4 - 24 + 26*z**4 - 13*z**4.\nAnswer: -4*z**4 - 2*z**2 - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 1. Suppose 4 = 3*i - 2. Let c(w) = 3 + 3*w**3 + 0*w**3 - 6*w**3 + 4*w**3 + w**2 + i*w. Give c(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**3\/2 - 5*z**2 + 123*z - 8. Let y(m) = m. Determine -l(a) + 5*y(a).\nAnswer: 2*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 148, 340, 612, 964, 1396, 1908?\nAnswer: 2500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/7257 and 25\/86199.\nAnswer: 3534159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 194 - -16?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 535 - 535.01. Let d = 20 + -24. What is the third smallest value in d, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232820 is divided by 345.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23798, 23838, 23878, 23918, 23958, 23998?\nAnswer: 24038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + -14 + 107 + -107?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -752012670 - 1?\nAnswer: -752012671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 + j**2 - j + 1. Give t(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -37) + 0 + (-817 - -652).\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 128 = 4*c, 128*c - 3*d + 78 = 194*c - 69*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, z: 5, h: 1}. Give prob of sequence qh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*j = -478*j + 8083137. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115759 + -115000.512. Let i = u - 772. Let n = i + 0.012. What is n rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -4, 2, -3 in decreasing order.\nAnswer: 74, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 6 - 2 = 0, 0 = -5*g + 5*z + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*x**2 + 111*x**2 + x - 4*x - 63*x**2 + 122*x**2 to q*x + g + o*x**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1200)\/sqrt(4) - 3*sqrt(243).\nAnswer: -17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*u**2 - 117*u**2 - 3*u + u**5 + 41*u**5 wrt u.\nAnswer: 2520*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4280675?\nAnswer: 5, 7, 61, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5*z + 14340, -y + 1124 = 2*z - 1759. Let c be y\/1*-1 - -2. Let f = 13271 + c. Round f to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5627057271?\nAnswer: 3, 11, 19, 43, 113, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 77856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.408 less than -0.058063?\nAnswer: 37.349937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158196602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*k + 67, 74 = 4*k - 2*v - 24. Suppose -31*z = -k*z - 122633. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + n - n**2 + 11 + 9 as k*n**2 + m*n + w and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2. Let x(v) = 160*v - 160243. What is x(o(n))?\nAnswer: 160*n**2 - 160243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/4)\/(189\/28 - 7). Let m(p) = 59*p + 56. Is m(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-21)\/12)\/(-7))\/(((-2)\/(-10))\/((-178756)\/3335))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*s**4 - 10174*s**3\/3 + 7826*s**2\/3 + 1960*s = 0.\nAnswer: -7\/15, 0, 5\/4, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 17*a**2 - 77*a + 33. What are the prime factors of j(22)?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 360900?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39*1\/(-9)*-3. Let x = -46 + -106. Let r = -87 - x. What is the highest common divisor of q and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (146 - 113) + 0 + -12\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/144 and -85\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/6 and -9214311 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41230091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 9:28 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 3*f - 58661*f**3 + 5*f + 58614*f**3.\nAnswer: -47*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/105*-7*(-102)\/119.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-72)\/54)\/(((-84)\/(-18))\/7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vixllxqlxbxlxibibixx. What is prob of sequence lvqv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -36*z**2 - 33*z + 33. Let i = -217 + 268. Let j(g) = 97*g**2 - g - 47*g**2 + 1 - i*g**2. What is 2*d(h) - 66*j(h)?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**4 - r - 4 + 0*r + 3*r + r**2 + 0*r**2 in the form p*r + t*r**2 + s*r**4 + n*r**3 + o and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 35 = -l + 25, -3*l = -3*f - 180. Suppose -62*y = -l*y. Factor -4*o**3 + y - 1\/2*o**5 + 5\/2*o**4 + 0*o + 2*o**2.\nAnswer: -o**2*(o - 2)**2*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111836830043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 93432 - 281?\nAnswer: 93171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.019 - 0.019. Let k = 4 - 5. Which is bigger: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2\/3 - 3076952*b - 9230852\/3 = 0.\nAnswer: -2307713, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 127450095053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 + 36\/16. Suppose -2*k - 4 - j = 0, b - 62 = -5*k. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -39*l + l**3 - 8*l**2 - 10 + l**2 + 5 + 10*l. Let x be f(10). Solve 5*q = n + 21, 0 = n - 4*n - x*q + 37 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-3)\/3))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4986 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r - 4*r - 12*r - 858 + 858 - 13*r + (-4*r - 4*r + 3*r)*(-1 + 2 + 0) + 0*r + 2*r - r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t + 25. Let h = 5 + t. Let i(q) = q**2 + 4. Give i(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -g - 0*g - 4*a, 5*g = a + 192. Let o = g + -21. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 205 - 193. Suppose -2*u - 76 = 2*u. Let h = 42 + u. Calculate the remainder when h is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*18\/27*27\/(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 - -141. Let r be q\/(-45) + (0 - 4\/6). Sort -1\/4, 1, r, 2 in descending order.\nAnswer: 2, 1, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 56. Calculate the greatest common factor of 77 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -27. Calculate the remainder when 53 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 38*l - 5. Let g = -1375 - -1373. Calculate i(g).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 1\/9, 2\/17, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z + 2. Let h be 1*10 + z + -3. Suppose -2*b + h = u, 2*u + 24 = 4*u + b. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*s = 0, -2*h + 48 = 3*h + 3*s. Does 7 divide (h\/10)\/(9\/60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0092 + 4.9908. Which is the biggest value? (a) -4 (b) -2\/9 (c) m (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 1, m: 3}. What is prob of picking 1 g, 1 m, and 1 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m + m**6 + 13*m**5 + 71*m**3 + 38*m + 0*m**6 + 4*m**2 - 71*m**3 wrt m?\nAnswer: 120*m**3 + 780*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times 61\nAnswer: -3.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*(-185)\/(-74)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13927197 at most -13927196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/32)\/((-3325)\/(-2660))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**6\/120 - a**5\/20 + 7*a**4\/24 - a**3 - 5*a**2\/2 + 5*a. Let n(v) be the first derivative of i(v). Is 22 a factor of n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -201722, -404599, -607476, -810353, -1013230, -1216107?\n\"Answer: -202877*a + 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-22 + 4 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 e when three letters picked without replacement from seeeeeeeeeseeeeeseee.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, d: 6, x: 1, z: 4}. Give prob of sequence ddzx.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99*d - 85*d + 45*d)*(-9 + 9 + 3*d**2)*(1 - 4 + 2).\nAnswer: 417*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -0.02, 3, 3\/16, -4, 127.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 198 + 367?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/496 + 42\/(-16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, c: 5, x: 2, o: 5, d: 1, i: 1}. Give prob of sequence dc.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/2544874 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 2\/19, -0.5, -3, -2\/23, -1050.8?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -1149*y**4\/2 + 5*y**3\/3 + 53*y**2\/2 + 2165. What is the third derivative of h(q) wrt q?\nAnswer: -13788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -362, -995, -1618, -2225, -2810?\n\"Answer: p**3 - p**2 - 637*p + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.29, 1, -9, -437?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 4*t + 40, t + 13 = 4*f + 45. Let c = -308 - -2467\/8. Sort f, c, -1 in descending order.\nAnswer: c, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5753)\/(-10) + (-63)\/210 is divided by 555.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuwdudv. What is prob of picking 2 u, 1 c, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-3))\/(7\/(-63)). Let t(m) = -m - 1. Let j(n) = -n**3 + n + 3. What is c*t(r) - j(r)?\nAnswer: r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22242503 + 3?\nAnswer: -22242500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -72760 divided by 136?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 12:22 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3447, 6931, 10415, 13899, 17383, 20867?\nAnswer: 24351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 + 54. Let y(c) = -c**3 + 15*c**2 + 6. What is the remainder when a\/(-6) - (-27 + -4) is divided by y(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2816. What is g in -d*g**3 + 5*g**5 - 30*g**4 - 4*g**2 - 36*g**2 + 2876*g**3 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78524545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*l**5 - l - 284.\nAnswer: 420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x*(x*x*x\/(x**(2\/7)\/x)*x)\/x*x*x)\/x)\/x*x**(2\/3)*x*x**(-3\/7)\/x*x*x**(-4))**(-27) assuming x is positive.\nAnswer: x**(-747\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 681048\/(-891) - 12\/(-33). Which is bigger: -766 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twwwtt. What is prob of sequence tw?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7043893.53 rounded to the nearest 1000?\nAnswer: 7044000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 42 - 2*b + 0*b**4 - 2*b**2 - 39 to the form n + g*b**2 + h*b**3 + f*b + o*b**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 258*b**3 - 2*b**2 - 245*b**3 - 11*b**2 wrt b?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725 = 443*q + 3383 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.1, -6\/73, -2, -4, 13\/4, -2\/5, -28?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 233667 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1844 - 1844. Let q = -4 - -3.92. Which is the third biggest value? (a) -3 (b) q (c) u (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1105\/9 + 123. Let g = -0.5 - -0.1. Which is the nearest to 2\/7? (a) u (b) -1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x - 3*x**2 - 10*x)*(0*x**2 - 7*x - 2*x**2 + 6*x + 3*x**3).\nAnswer: -9*x**5 + 6*x**4 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + -1 + -3*1*sqrt(11))*-1 + (-5*3*sqrt(55) - sqrt(55))\/(sqrt(5) + (sqrt(5) - sqrt(20)*6)))**2.\nAnswer: -4*sqrt(11)\/5 + 69\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 - 78. Suppose 0 = -h + 5*o - 1, -h + 2*o + n*o - 1 = 0. Is 8529\/(-6)*(h - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-15)\/(-12)*(-26)\/39.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4740 is divided by 66.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Suppose -2*b + k = -b. What is the smallest common multiple of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 464.022 to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 0.1, 34, -37.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 5 + 4 - 2*w)*(9*w - 10 + 10)*(-2*w**2 + 2*w - 2*w).\nAnswer: 18*w**4 + 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -659\/4 + 19107\/116. Which is the nearest to n? (a) 0 (b) 4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 727154 (base 8) in base 16?\nAnswer: 3ae6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 514993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20652 is divided by 2794?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 23 = 3*z - 49, 105 = 3*t + 3*z. Let p = t + -47. Is 107\/7 + 4\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 0) + -1 - (6 - 2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -35559627.1 to the nearest one thousand.\nAnswer: -35560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/3842 and -99\/26.\nAnswer: 49946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*a**2*n*x + 16*a**2*n - 38*a*n*x + 53 wrt x.\nAnswer: 64*a**2*n - 38*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 + (-555)\/(-105). Suppose s*l = 13 + 7. Solve -4*o = -l - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(1*sqrt(10)) + -3)*-5.\nAnswer: -5*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 3*z**2 - z**2 + 0 + 7*z**3 + 1 - 3*z. What is the units digit of f(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 1208000*h**3 + 97284669330*h**2 + 2611606947358520*h + 2611509663897185.\nAnswer: 5*(h + 1)*(h + 80533)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**4\/4 - 3*x + 17. Let p(d) = -5*d. Calculate s(p(g)).\nAnswer: -75*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*z - 51*z - 3703. Let u = z - 113. Calculate the greatest common divisor of u and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, -30, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**6\/180 - n**5\/30 - n**4\/12 - 2*n**2. Let w(y) be the second derivative of s(y). What is the derivative of w(x) wrt x?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q*s**4 + 2*q*s - 184*q + 586535*s**3 - 2*s + 39 wrt s?\nAnswer: -48*q*s**2 + 3519210*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(((sqrt(176) + -1)*-1 - (sqrt(176) + -1 + -1)) + 2)*2)**2.\nAnswer: -1536*sqrt(11) + 11840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**2*q**3 - 13*n**2 + n*q**3 + 4*n*q**2 wrt q.\nAnswer: 18*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 197051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18859*q - 18859*q - q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 14 = -4. Let u be (-4)\/(-3) - d\/3. Let p(s) = -239*s - 235. Let l be p(-1). Sort u, -1, l in ascending order.\nAnswer: -1, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 329*f**6 + 2*f**5 + 2491*f**2?\nAnswer: 39480*f**3 + 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, q: 2, w: 5, p: 2}. What is prob of picking 1 w, 1 p, and 2 q?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111321332012 + 3?\nAnswer: 111321332021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 50417160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46334, 92693, 139124, 185663, 232346?\n\"Answer: 6*i**3 + 46317*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 10 = 0, 29 = 4*f - 142*v + 147*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z + 7. Let p(u) = -2*u - 1. Let a(c) = -2*p(c) + x(c). Let k be (-18)\/(-4)*4\/3. Calculate a(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 12, k: 1}. Give prob of sequence kll.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 0.3 (c) -2 (d) 42 (e) -3 (f) 1\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 3*i**5 + 3 + (-2*i**2 + 0 + 0)*(3*i**3 - 2*i**3 + 0*i**3).\nAnswer: -5*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*p + 49*p - 102*p - 4349 - 6765)*(1 + 2 - 2).\nAnswer: -2*p - 11114","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377.898um in nanometers?\nAnswer: 2377898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12074 - 12070. Which is the nearest to -3\/14? (a) j (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*f + 82 = 4*w, -7*w - 315*f - 68 = -311*f for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 110944845169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - 3*l)*(3*l**4 - 4 - 4*l**4 + 6).\nAnswer: 3*l**5 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/(146\/657)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 - (-75 + 59 + -68)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2922 is divided by 223.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let i be 0 - (-3 + 2\/(-2)). Let y be c(i). Suppose y*g = -5 + 17. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2789 + 5743 - 2954 - 13088*g**2. Let f(k) = -2*k. Calculate n(f(x)).\nAnswer: -52352*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862698920.\nAnswer: 2, 3, 5, 719, 21589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 8 = 19*b + 110, -2*q = -2*b - 20 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/80*((-36)\/(-8) - 2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2679.909 + 2668. Let j = v - 39.199. Let g = -51 - j. What is g rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4.5. Let t = 14.68 + -5.68. What is the second smallest value in -3\/2, d, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5 = -5*q, 2*f - 1 = -0*f - q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292411804?\nAnswer: 2, 1667, 43853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 112*x - 37640. Give u(-84).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence frrb when four letters picked without replacement from {r: 11, w: 2, f: 1, b: 1, y: 5}.\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 + 2. Let s(f) = -20*f**2 - 10*f + 17. Determine -6*i(j) + s(j).\nAnswer: -2*j**2 - 10*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 8*p + 12. Let g be 8 + p + 44\/(-21). Put 3, 1, g in decreasing order.\nAnswer: 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:36 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1790 is divided by 880.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*c = -25, -15 - 47 = -2*a - 2*c. Let p = a - 31. Suppose -p*m + 2*z = -8, 5*m + 5*z + 5 = -15. Solve 3*f + m*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1724*m**2 - 7 - 341*m**2 + 9 + m**3.\nAnswer: m**3 - 2065*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/3 + ((-11)\/(-3) - 3). Let g be (9 + -6 - 7\/3)*v. Calculate the greatest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(5 + 12270\/(-900) + 4\/30)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -37*q + 2. Let g be f(2). What is the tens digit of (g\/10)\/((-15)\/100)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + 5*n**4 - 4*n**4 - 2*n**4 - 24876*n + 24876*n - 4*n**2 + (4*n - n**3 - 4*n)*(7*n - 23 + 23).\nAnswer: -8*n**4 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*o + 2 + 94*o - 46*o - 27*o.\nAnswer: -17*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 2*h + 4. Let y be i(2). Suppose 4*u = -0*u + y. Solve 0 = -u*m - m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 43. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*m - 8. What is the first derivative of n + n - 2 - 8*n - m wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -0.21. Let x = -2 + 0. Let p be 1*(-1 + 4 - (-144)\/(-18)). Which is the closest to -1\/3? (a) x (b) p (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/18 - (-114)\/27. Let q be s\/(-3)*6\/(-4). Suppose -q = -o + 6. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != 2337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-2)*(-11)\/(-33).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**4 + c**2 + c + 61. Let p(x) = 8*x + 0*x + 7 - 10*x + 0*x. Let l be p(4). What is j(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 824.5314 years to centuries.\nAnswer: 8.245314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 570 and 150.\nAnswer: 85500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d - 33. Let c(s) = -10*s**2 - 5*s**2 + 53*s**2 - 26*s**2 - 9*s**2. What is f(c(j))?\nAnswer: -15*j**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 62*n = -61*n + 24, 5*n = -g - 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-987)\/147 + 4 + 4\/2. What is the third smallest value in o, 3, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmcercr. What is prob of sequence cme?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-116)\/(-14))\/((-41)\/(-287)). Suppose 0 = i*w - 50*w - 288. Calculate the remainder when w is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -5)\/(-1*27\/(9 + 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-60)*(-4)\/(-6). Let d = 3.1 + -0.1. Put 0, d, x in increasing order.\nAnswer: x, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from fwwwbbwbrwoo?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 5}. Give prob of sequence ga.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-7)*(595\/(-10))\/(-17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 11) to base 4\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:23 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = v, 8*v + 18*l = 6*v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*x + 30 = 0, 3*o + 6*x - 45 = 3*x. Suppose b = d - o, 3*b + 2*d = -11 - 9. Let y be (-24)\/b - (-10)\/(-25). Solve -2 = y*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-70)\/205) + 1\/7. Calculate the highest common divisor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 5) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 7*g + 702. Let s be (1 + 34\/(-6))*g\/91. Solve -4*t + 4 = s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.8 (b) 75\/28814 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1217046 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2\/(((n\/(n\/(n*n*n**(2\/9)*n*n)))\/n)\/n*n)*n**(-4)*n*(n*n**(-2\/5)*n)\/n assuming n is positive.\nAnswer: n**(-163\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*h - h. Suppose 0 = 4*d - 2*j + 8, -2*d - 16 = -7*d - 4*j. Which is the closest to d? (a) h (b) 0.02 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/60 and -79\/273?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d + 5*j - 294 = 0, -3*d - 3*j = -450. Let g = -107 + d. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m, -3*o - 3*m - m = -102. Let t = 40 - o. Calculate the least common multiple of t and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 34, 59, 84, 109, 134?\n\"Answer: 25*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3506*x + 3393*x**2 - 3519*x + 7025*x to f*x**2 + z*x + g and give f.\nAnswer: 3393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21482303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18083854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(((-3420)\/(-2565))\/(2\/(-6)))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/12*(-15)\/(-2). Let o = 5 - m. Let q(x) = -x**2 + 2*x - 1. Let g be q(2). Sort 1, o, g.\nAnswer: g, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10144037 to the power of 1\/2, to the nearest integer?\nAnswer: 3185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/3))**33\/(p**(-1\/7)\/p)**(-50) assuming p is positive.\nAnswer: p**(-246\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 22*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 + 3*x**5 - 5*x**5 + (-56*x + 94*x + 78*x)*((-1 - 3 + 3)*(x - 2*x + 0*x) - 5*x + 4*x + 3*x)*(-4*x**3 + 7*x**3 - x**3).\nAnswer: 697*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 84*c - 76*c - 67*c.\nAnswer: -227*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -416568 by -4.\nAnswer: 104142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g + b, 17 = 4*g + g + 2*b. Suppose -2*o + 3*z - 4*z = -17, g*o = -z + 23. Let a be -4 + 9 + -3 + 0. Solve 0 = a*t + o - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffcfcyclyfeffykfef. Give prob of sequence ce.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w. Let v be d(-2). Let g(m) = m + v*m - 7*m. Let t(z) be the first derivative of 3*z**2\/2 + 4. Determine g(t(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 16 = -3*c, 0 = 4*c + c - 25. Let h be 3\/5 + 6\/(-10) - t. Let n = 7 - 0. Solve h - n = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 5*g + 30. Suppose 0 = -p + 5*i - 5, -g*p = -5*i - 3 - 2. Factor 4*t**2 - 9 + 2 + 8 - p.\nAnswer: 4*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1590 and 21\/212.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w - 5*q + 33, 4*w = 5*q + 23. Suppose 3 = -w*r + 8*r. Calculate the smallest common multiple of 7 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/(-8))\/(-9)*0. Suppose -2*c + 3*u + 4 = -q, 4*u = 5*c - 24. What are the prime factors of 212\/c*2*1?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 580058 (base 12) to base 5\nAnswer: 330110431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1926 + 1906 + (-4 - 0 - -4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135 by -15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209 and 46889733.\nAnswer: 890904927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2456 divided by -4.\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 340 or 338?\nAnswer: 338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17994 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 136\/14 - 10 - (-1049575)\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5303 * 4\nAnswer: -2.1212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*q**4 + 14916*q**3 - 100557*q**2 - 3074988*q - 5628180 = 0. Calculate q.\nAnswer: -10, -2, 19, 4937\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -14. Let u(j) = -j**3 + 3*j**2 + 19*j - 38. Let o be u(5). Let d(s) = -7*s - o + 3*s + v*s - s. Calculate d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/98241 and 187\/34295040.\nAnswer: 377245440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0285471 and -824?\nAnswer: 23.5228104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*q - 22*j + 19*j, 2*q - 4*j = 2. Let k(u) = -u**3 + 6*u**2 - u + 1. Determine k(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 2*o. Let p be j(4). Suppose -7*t = -3*t + 140. Let g = p - t. What is the remainder when 31 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 3158*a**2 + 6302*a + 9462.\nAnswer: 2*(a - 1577)*(a - 3)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 542*o. Let x(y) = 52*y + 56*y - 156*y + 47*y. Determine x(q(f)).\nAnswer: -542*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 134 + 4651 = -4*s, -5*d = 2*s - 4499. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4676.\nAnswer: 2, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 13*r**2 + 22*r + 16. Let x be u(-12). What is the nearest to x in 0.5, 0, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 537 + -595.98. Round y to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 172 + 174 = 0. What is the remainder when r is divided by 85?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -291152800 to the nearest one hundred thousand.\nAnswer: -291200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvsveeeuvveevevnu. Give prob of picking 1 s and 1 v.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30443 - -30476. Solve -5*u - 19 = -2*h, -c*u = -31*u + 4*h + 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*s = -3*s + 9, -5*a + 15 = 3*s. Find the second derivative of 4*w**a + 0*w - 3*w**3 - 4*w wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*w = -2*w - 9, 0 = 3*x - 5*w. Let b be 2\/(21\/(-9) + 3). Suppose -5 = y, -x*t + b*y = 4*y - 25. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220b7 (base 12) to base 8.\nAnswer: -130013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -646429266 divided by 459438.\nAnswer: -1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9195*l**2 + 122*l + 217 wrt l.\nAnswer: -18390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6 and -77\/287971062?\nAnswer: 287971062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138920 - g + 252591 + 293525.\nAnswer: -g + 685036","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25151*i**4 - 184*i**3 + 39174774.\nAnswer: -100604*i**3 - 552*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10\/3 (b) 5 (c) 117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*b + 5*f - 1654, -2*f = 2*b - 1664. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 650709951 to the power of 1\/3, to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 28712749, 28712751, 28712755, 28712761, 28712769, 28712779, 28712791?\n\"Answer: r**2 - r + 28712749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -12. Suppose 4*h - z*d = 320 + 240, -279 = -2*h + d. What are the prime factors of h?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437155 to the power of 1\/2, to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3359 times -0.1?\nAnswer: 0.43359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:08 PM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0527 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 1. Let d be i(-3). Let z = -324 - -327. Suppose 0 = 2*y - 3*w + 2*w - 2, 0 = -d*y + z*w + 2. Is y at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(13\/3))**(-24)\/(n**(-13))**5)**(-3) assuming n is positive.\nAnswer: n**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14184, 112983, 381056, 903039, 1763568, 3047279?\nAnswer: 4838808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 10*t - 6*t + 134 = 0, 3*t = z - 18. Suppose -8*p = 2*p - z. Let k be 18\/(-14) - 4\/(-14). Put 0, k, p in ascending order.\nAnswer: k, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1292*b**2*u + 6*b**2 - b*u + 129475*u + 125553243 wrt u.\nAnswer: -1292*b**2 - b + 129475","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, m: 3, q: 2, x: 2, j: 3}. What is prob of picking 2 x?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 8*k + 9. Let q be f(-6). Suppose 29 = 2*u + 5. What is the smallest common multiple of u and 7 + q + 7 + -1?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/(-308))\/(40\/176))\/((-2)\/90)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 1\/4, 2.\nAnswer: 1\/4, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -5*r + 61289, 4*r - 1625 - 47420 = 3*u. Suppose -2*q - r + 31139 = 0. What is q rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 62\/(-22)) + (-8)\/(-44). Let k be (-18)\/4*2\/(-3). Suppose -v = -0*v - k. Solve -3*l + p*r + 14 = -2*l, -l - v*r - 11 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3011, -8, 2, -9 in decreasing order.\nAnswer: 3011, 2, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -2\/19 (b) 4 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -11. Let q(n) = -11*n + 6. Let c(x) = -10*x + 5. Let g(z) = y*q(z) + 7*c(z). Let o(w) = -w. Let m = -5 + 3. Calculate m*o(a) + g(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1507 divide 414439495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.59, -6, 0.6, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -7, 5, 1\/2, 0.4, -4043, -0.1?\nAnswer: -4043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -10. Suppose 0 = b*n - 8*n - 6. What is y in n*y**2 + y - y**2 - 20 - y = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -251672?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 23799519 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y + 60. Suppose -6*z + z - 4*s = -45, 0 = 2*z - 5*s + y. Let p = 0.13 + 0.07. Which is the second biggest value? (a) z (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32159 - -96473\/3. What is the third smallest value in x, -9, -0.4, -18\/7, 1\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2. Let q(z) = 6*z**2. Determine w(q(i)).\nAnswer: 108*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a**4*w**2 + 2*a**3*w**3 + 11*a**3*w + 2*a**2*w**3 + a**2 + 11*a*w**3 wrt a?\nAnswer: 240*a*w**2 + 12*w**3 + 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 3*k - 6, -5*k = 4*b + 15 + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 96191 - 96181 = 0. Which is the fifth smallest value? (a) -8 (b) -0.5 (c) -0.2 (d) -1\/7 (e) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579 + 242 = -225*v + 1913 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itiititijtjttii. Give prob of sequence jjti.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 290963914 to the power of 1\/2, to the nearest integer?\nAnswer: 17058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - n + 481 = 0, n = 2*c + 2*n - 963. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/(7\/(-210)*27)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -1711119265.\nAnswer: 1711119254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, -2\/9, -1258\/13, -1\/3.\nAnswer: -1258\/13, -10, -5, -1\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 divided by -16?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 481, 643, 805, 967?\nAnswer: 1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1101033303003?\nAnswer: -1101033303011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**4 - 3*n**3 - n**2 + 3*n = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2420)\/(-1650)*12\/2*(-25)\/(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-7)\/14*(2 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 + 776*p**2 + 772*p.\nAnswer: 4*p*(p + 1)*(p + 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80442990 is divided by 20110740.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 24 = 5*u. What is the derivative of -4 + 5 + 5 - 53*h**2 + u wrt h?\nAnswer: -106*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 11 = -2*z - 1, -o = 4*z - 17. Let l be (-1)\/(3 - 2)*(-918)\/(-18). Let a be (-31)\/(-93) - 1\/l. Is a > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*k = -5004. Suppose k = 3*a - 428. What are the prime factors of a?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/7)\/(-2)*(-448)\/1152?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 7, 1292, -130, -2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*s + 9*s - 18*s + (-3 + 2 + 2)*(-15*s + 14 - 14).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1707310\/(-165))\/(2\/(-600)). Round y to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4 = 2*y. Suppose 8 - y = 3*c. Let p(s) = 2*s**2 - 25*s + 16. What is the lowest common multiple of c and p(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 75.45 and 4821354027.\nAnswer: 4821354102.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -286*d**3*u**3 + 4*d**2*u**3 - 12*d*u**3 - d wrt d.\nAnswer: -1716*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19825590 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -q**4\/24 - q**2. Let u(i) = -4*i**2. What is u(x(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**3\/11 - 3401614*g**2\/11 + 10204828*g\/11 - 6803216\/11 = 0.\nAnswer: 1, 2, 1700804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j**2 - 15*j + 8. Let t be s(-6). Calculate the greatest common factor of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54936059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*r = l + 19, r - 4*l = 1 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 296 - 84 + 9*f - 86.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5560172 nanometers in kilometers?\nAnswer: 0.0000000000005560172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 2:22 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 505905, 505956, 506041, 506160, 506313, 506500, 506721?\n\"Answer: 17*z**2 + 505888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(110)*2)\/sqrt(10) + sqrt(11)))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 784297.39 * -0.1.\nAnswer: -78429.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, -13, -31, -67, -127, -217, -343, -511?\n\"Answer: -g**3 + g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y + 7. Let w be h(-2). Let a be (w\/3)\/1*-21. Let l = 16 + -9. Are a and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 117\/(-306) + (-2)\/(-4). Which is the closest to -3\/4? (a) -2\/9 (b) m (c) 36 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-10))\/(2\/15). Calculate the common denominator of (-402)\/g*(-2)\/(-18) and (-186)\/(-44) - (-3 - -3).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 178302741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*16\/8. Let d = 3 + y. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 4*f + 9\/10*f**6 + 0*f**3 + 0*f**5 + 0*f**4 - 23\/2*f**2 + 0. Differentiate y(z) with respect to z.\nAnswer: 108*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 1)*(2*f - f + 4*f) + f + 9*f + 8*f)*(3 - 1 - 3).\nAnswer: -43*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -30. Suppose 10*i + 0*h + 18 = 2*h, 20 = 5*h. Sort k, 4, i.\nAnswer: i, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, h: 4, l: 3, f: 2, c: 6}. What is prob of picking 1 l and 1 h?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8029.392 (b) -18 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744114 + 743169 = -27*p for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127704535 greater than -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 8, -p - 5*z = -4*p - 26. Is 2631 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 181989, 363884, 545693, 727422, 909077, 1090664?\n\"Answer: q**3 - 49*q**2 + 182035*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - -1)*(-3)\/(-9). Suppose -4*c - 155 = -4*b - 39, -5*c = -g*b + 73. What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128504846 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -25935.8955 to the nearest 100.\nAnswer: -25900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -5*j - 9. Suppose f + 2*a = a + 63, -161 = -j*f + 4*a. List the prime factors of f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 197*i. Let r(g) = 1759*g + 11. Calculate w(r(t)).\nAnswer: 346523*t + 2167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1152\/(-96)*(-1)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-2))\/((-10)\/2145). Suppose 4*o = 3*b + g, -5*o = -5*b - 343 - 187. Let h(y) = -113*y**2 + o*y**2 + 3 - 3. Let u(p) = -p**2. What is u(h(i))?\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - l**2 + 2*l - 1. Let z be u(1). Let o = 36 + -26. What is the remainder when (14 - 3\/z) + 2 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 5:41 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 18*y**3 + 42*y**2 + 38*y + 12.\nAnswer: 2*(y + 1)**3*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1182)\/(-788) - ((-4)\/(-10) + 334\/340)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + -3 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4835 + 4834.7841. What is p rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2051163531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 419921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -56*y + 262. Let n(v) = 18*v - 87. Let p(m) = -4*c(m) - 11*n(m). Calculate the remainder when 116 is divided by p(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -291 + 291. What is the biggest value in 13, -0.3, 2, r?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2))**(2\/45)\/(j*j**(-1\/7)*j**(5\/2)))**(-2\/31) assuming j is positive.\nAnswer: j**(2101\/9765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, w: 2, o: 5, g: 3}. Give prob of sequence geee.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8356*d**2*f**5 - 358*d**2*f**3 - 26385*d**2*f**2 + 11*d**2 - 4*f wrt f.\nAnswer: -501360*d**2*f**2 - 2148*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.3, -15, 2\/7, 10, 21 in descending order.\nAnswer: 21, 10, 5, 2\/7, -0.3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -44894.\nAnswer: 14\/22447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6271*k - k**3 - 2*k**2 - 6271*k - 400 in the form q*k**3 + w*k + z + o*k**2 and give z.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50 + (-6)\/12*18. Suppose -17*t + 55216 = y*t. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01430288 rounded to four dps?\nAnswer: 0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 803909954?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -310*i. Let v(z) = -34284*z**2. Give n(v(k)).\nAnswer: 10628040*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*b + 138*b = 1411 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119440.23 seconds to minutes.\nAnswer: 1990.6705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 149 and 863683715?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 6*s**2 - 3*s - 14. Let l be v(5). Calculate the remainder when 46 is divided by (-52)\/(15\/20 - (-11)\/l).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/2 - 4)*(7 - 1). Put s, 54, 0 in decreasing order.\nAnswer: 54, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 25 + 515. Let u = -787\/8 - y. Let w = 1519 - 1527. What is the third biggest value in u, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -34071?\nAnswer: -34071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2015212 - 3340?\nAnswer: 2011542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190, -454, -798, -1216, -1702, -2250, -2854?\nAnswer: -3508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Suppose 4*g = -a + 17, -3*w = g - 13. Suppose 4*i + 12 = 4*h, -4*h = -2*h + 3*i + 9. Solve h = 3*f - 6, 0*p - w*p - 5*f + 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(891) + 1)*3 + sqrt(891))**2 + (sqrt(891) + (sqrt(891)*3 - sqrt(891)))**2*2)*6 + 0 + -2).\nAnswer: 2592*sqrt(11) + 363632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000152 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**5\/8 - h**4\/24 + 7*h**3\/6 + 17*h**2. Let q(a) be the first derivative of j(a). Give q(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and 61387.\nAnswer: 110496.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-34)\/(-136))\/((-2)\/32*-2). Suppose t*x - 1117 = -x - 4*k, 0 = -2*x + 2*k + 740. What are the prime factors of x?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000 (base 2) to base 8.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3 + 2. Sort -5, t, 2 in ascending order.\nAnswer: -5, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 22 = -i, 2*r = -i - 2*i + 19. Solve i*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2 + 763*x - 2945. Calculate g(4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 1 = -4*z - 11, 2*t = -5*z - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-3*3\/(-24)). Suppose g = -4*o - 0*o. Is (-2)\/o*(11 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -605 + 432. Let m = -57382.708 - -57210. Let t = q - m. What is t rounded to two decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0 - 1\/3*m**3 + m**2 + 1\/60*m**5 + 1\/8*m**4 + 0*m. Let l be g(0). Sort 1, 2, l in decreasing order.\nAnswer: 2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173 times -0.5?\nAnswer: -586.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 6 = 0. Let h(o) = -39*o + 18*o + 15*o - 35. Let a be h(-6). Solve a = -p - z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 1 = -h, -a - 5 = -0*a - 5*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38905 + 10.\nAnswer: -38895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 + 34 - 8) + -16?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 1 + -7 - -32?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 9, -301\/3, 3\/4, -0.2, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1547, 2970, 4393, 5816, 7239?\nAnswer: 8662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 5*d**4\/24 + d**3\/2 + 109*d**2. Suppose -4*j - 8 = -0*j. What is t(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, 1, 2159791?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -5, 3, -1, -19 in increasing order.\nAnswer: -19, -5, -1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4111 divided by -417?\nAnswer: -4111\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6.7. Let b = -0.3 - y. Let a = 8\/15 - 7\/10. What is the third biggest value in 0.4, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1902 less than or equal to -226302\/119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 10*c + 17. Suppose -w = -3, -3*a - 48 + 6 = -5*w. Let t be h(a). Let v be (-1)\/(-7) + 1254\/t. Is v equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 + -6.7. Let t = 0.09 + -0.16. Let i = t - 0.23. What is the closest to g in -3\/2, 0.4, i?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1674\/11 - 152. Let j = -0.4 - 0. Let u = -311 - -310.9. Which is the nearest to 0? (a) r (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1002460.\nAnswer: 2, 5, 50123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 985*m**2 - 3*m. Let a(i) = -71341*i. What is a(l(c))?\nAnswer: -70270885*c**2 + 214023*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*q + 45*q = -2336 + 13424 for q.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -21*c**5\/5 + 93*c**4\/4 - 29*c**3 - 21*c**2\/2 + 36*c - 43. Let x(r) = 0. What is r?\nAnswer: -4\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4\/7, -4, -3\/8, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 1)*1 + 2. Let z(y) = -y**2 + 6*y - 2. Is z(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20)\/(3\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2) - (-7)\/((-21)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 158574147 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -197, -781, -1755, -3119, -4873, -7017?\n\"Answer: -195*r**2 + r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1192*a**6 + 617*a**6 - 9*a + 154*a**6 + 94*a**2 + 4*a wrt a?\nAnswer: 235560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from gnagaeyn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -253 - -255. Solve 2*k - z*v - 6 = 4, 2*k - 5*v = 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 20 = 4*k - 4, 21 = 5*x - 4*k. Let r be (-1)\/(-5) + (448\/(-20))\/(-8). Which is the smallest value? (a) x (b) 20 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1)\/(3\/9). Suppose -l*y + y = -4*p + 12, -p - 6 = -5*y. Find the third derivative of -b**5 - 3*b**2 - 2*b**2 + 14*b**y + 13*b**5 wrt b.\nAnswer: 720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 625.\nAnswer: -2\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*((sqrt(833) - -2*sqrt(833)) + 3 - (sqrt(833) + -1)*-4))**2.\nAnswer: -1568*sqrt(17) + 653092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 1 + 5*y**3 - 11*y - y**4 - 4*y**3 + 6*y + 13*y to s*y**3 + v*y**2 + x + d*y**4 + u*y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**5 + 50628*t**4 + 159361016*t**3 - 5314241928*t**2 - 159361020*t + 5314191300 = 0.\nAnswer: -6345, -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxd when three letters picked without replacement from {t: 1, x: 1, z: 1, n: 2, d: 1, m: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 49\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -9.82.\nAnswer: 7.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11047925*v**2 - 4140342.\nAnswer: 22095850*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14845.19445 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 34)*(-2 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21\/4 (b) -9 (c) -1069\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s = -14*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9154231 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-17)*u)*u**(-20\/11)*u)\/(u**15*u*u\/(u**(-22\/9)\/u)))**(-4\/9) assuming u is positive.\nAnswer: u**(1688\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 - -86. Let f = -30\/11 + 273\/88. Sort f, 1, q in descending order.\nAnswer: 1, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-44)*o**(4\/21))**(3\/29) assuming o is positive.\nAnswer: o**(-920\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*j + 4, -3*j + 5 = i - 0*j. Let g(m) = -m**3 + 4*m**2 - 3*m. Let x be g(i). Solve 7*a - x*a - 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*c - 48, -5*f - 9 - 3 = -c. Suppose -j - 6 = -2*j + 2*o, 0 = 5*o. Let z(a) = 309*a + 23484. Let x be z(-76). Solve j*d - 3*d + c = x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 27 = -8*s. Solve 3*v - 2*v = -s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f + 3. What is the remainder when 65 is divided by m(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86623 is divided by 64?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 3, -106, 0.231, 1\/2 in ascending order.\nAnswer: -106, -46, 0.231, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 41234040 (base 6) to base 16\nAnswer: 121ba8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2066104310.\nAnswer: 2, 5, 151, 1368281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13026 or 12999?\nAnswer: 12999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300416944?\nAnswer: 2, 359, 52301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166 divided by 2.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7)\/j**(-5\/2))**26 assuming j is positive.\nAnswer: j**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -73089, -146215, -219341, -292467, -365593, -438719?\n\"Answer: -73126*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 841\/1449 + -4\/161. What is the common denominator of 93\/2 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14\/27 + 184\/459. Let w = 0 + -1. Which is the third biggest value? (a) w (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - v)*(17*v**3 - 72*v + 72*v) + (-v**2 + 3*v**2 - 3*v**2)*(3*v - 3*v - v**2).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 792125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33318 - -1599413\/48. Calculate the common denominator of d and (-219)\/(-240) - 22\/(-55).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 10 - 2*s**2 + s**2 + s**3 to the form g*s + h*s**2 + f + n*s**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 272 - 262. Let h(t) = -y*t - 3 + t + 10*t. Let f(d) = -5*d + 16. Determine 4*f(l) + 22*h(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -403 + 403 - 5*b**2 + 2*b as x*b + o*b**2 + i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -310, -1182, -2898, -5740, -9990, -15930?\n\"Answer: -47*i**3 + i**2 + 16*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 10, 1\/3, 0.079, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*h = 48, -55 = -3*u + 4*h + 3. Let a = u + -44. Let s = a - -46. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - d + 0)*(-13 - 5 - 3)*(0*d + 0*d - d**2) - 36*d**3 - 26*d + 26*d.\nAnswer: -57*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -296, -2350, -7922, -18770, -36652, -63326, -100550, -150082?\n\"Answer: -293*n**3 - n**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-672)\/40)\/14*-10. Suppose -t = t + 5*s - 47, 2*s - 86 = -5*t. Calculate the highest common factor of t and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -6 - 2. What is the second derivative of -28*w**3 - 11*w - 21*w**3 + 10*w**3 - c*w wrt w?\nAnswer: -234*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57287*m**5 - 6*m**3 - 771*m**2 - m + 47?\nAnswer: -3437220*m**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 3*r**2 - r. Let a be h(3). Let s(j) = -2*j - 9. Let u be s(-7). Let i(n) = -u*n - 972 + 969 + 3*n. What is i(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 24*t + 36. Let w(l) = l + 1. Let a(r) = 72*w(r) - 2*z(r). Let p = -131 + 133. Let n(c) = 3*c**2 + 2*c**2 - 5*c**p - 2*c**2. Determine n(a(u)).\nAnswer: -1152*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 397667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 186*s + 54 - 85*s - 88*s. Let f be u(-4). Which is smaller: 9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 2\/23, 463829, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-3 + 10 - 0)) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*h - 91*h - 244*h + 70*h.\nAnswer: -389*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*o**3 + 112857*o**2 + 338480*o + 225636 = 0. What is o?\nAnswer: -112818\/13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = u - 2*z, 4*u + 4 = -2*z - 0. Which is the nearest to 1? (a) 3 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -10. Let i be s\/6 - 5\/15. Let l be i + -4 + 2 + 4. Solve -f + 4 = 3*c, 0*f + l*c - 8 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*q - 9, -q = 5*u - 4 + 16. Find the common denominator of 10\/(-8)*u\/(-5) and 2\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4 = 3*w, -7*w + 21 = -y + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1444 + 1452. Solve 2*t = -4*p + 2*p - h, -19 = 5*p + 4*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + 1*sqrt(117) - (sqrt(26)\/sqrt(2)*-1 - (sqrt(13) + (sqrt(13) - sqrt(143)\/sqrt(99)) - sqrt(13)))))**2 + -4.\nAnswer: 28*sqrt(13) + 2593\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -57.\nAnswer: 2.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117080 and 140.\nAnswer: 819560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 20254431?\nAnswer: 20254435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -11*s - 14. Let g(f) = -10*f - 14. Let w(k) = 7*g(k) - 6*j(k). Let q(i) = 10*i - 81. Let c be q(7). List the prime factors of w(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -6)*396\/12. Suppose -43*s + l = -34*s. Solve -2*h - 5 + s = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -14*x**2 - x - 1. Let m(j) = 27*j**2 + j + 2. Let d(r) = 5*c(r) + 2*m(r). Let i be d(-2). Is 40\/(-24)*(-1 + i) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 828 - 438. What is the tens digit of -3 - ((-20)\/6)\/(20\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5057 (base 10) to base 11.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)\/((f*f**(3\/5)\/f)\/f))\/(f**(-2)\/(f**6*f)) assuming f is positive.\nAnswer: f**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9716 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 8 = -0*k. Solve 0 = 4*x + 3*i + 13, k*x - i - 2*i + 19 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v + 6. Let z(s) = -1279*s - 1277*s + 2547*s. Determine y(z(l)).\nAnswer: -72*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/84)\/(1 + 3\/(-12)). What is the second biggest value in 30, j, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 3. Let p = -14 + f. What is the third biggest value in 0, -2\/15, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -85*z + 22*z**3 + 95*z - 20*z**3 + 4 + 8*z**2 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 7*l**2 + 7*l + 8. Let k be z(-8). Suppose -2*u = 2*o - k, o - 6*o = -2*u + 2. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l. Let o be w(-1). Let u(s) = 2*s**2 + 3*s - 3. Let m be u(o). Let p = 30 - m. Which is smaller: p or 14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 4*n + 3*y + 225, 3*n = 3*y - 279. Let u be (4\/2*-1 - n) + 1. Let t = -17 - -28. What is the greatest common divisor of u and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2546 divided by 3\nAnswer: 2546\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 1:24 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/(-5)*(-230)\/(-1242)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3666620*g**2*v - 268271*v - 22 wrt g?\nAnswer: -7333240*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -15614596 > -15614597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 7, 0.4, 0, -0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-5))\/(12\/30). Suppose -b*k = 3*o - 5*k - 12, 2*k + 11 = 5*o. Is -1*(-37 - 0\/o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 422 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00061431 to 5 dps.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.041, -42, -0.08811 in descending order.\nAnswer: 0.041, -0.08811, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16415 (base 9) to base 6.\nAnswer: -124105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/153515?\nAnswer: 2\/153515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:34 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22396.614 months to millennia.\nAnswer: 1.8663845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -410462, -410414, -410380, -410366, -410378, -410422?\nAnswer: -410504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.39 + 1.3921504. What is f rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5 = -u. Let b(q) = 5*q**3 - 2*q**2 + 1. Let t be b(1). Suppose -35 = t*a - 5*a - x, -4*a = u*x - 143. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 0.34, 0.1 in decreasing order.\nAnswer: 16, 0.34, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0*s*s\/s**(-3)*s)\/(s**1\/s*s*(s**6*s)\/s))**(3\/5))**(-19) assuming s is positive.\nAnswer: s**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 9:53 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((z**2 - 2*z**2 + 2*z**2)*(-z + z**2 + z) + 2*z**4 + 0*z**4 - 4*z**4)*(4 - 23 - 1) to g*z**2 + d*z + b*z**4 + q + f*z**3 and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*n - 108*n + 34*n + 37*n + 4 + 4*n**3 as x*n**2 + o*n**3 + j + v*n and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 851 divide 5267258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - 2*(28\/42 - 18\/(-81)*6).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1099950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 7. Let j be f(8). Suppose -5*d = -4*d + j. Which is smaller: 39 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 60*u + 145 + 156 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*s + 184*s + 4*f - 3056 = 0, f + 2272 = 3*s. Calculate the highest common factor of s and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5605*p**6 - 16*p**5 - 3*p**3 + 3307847*p**2.\nAnswer: -672600*p**3 - 960*p**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 137776039 to the power of 1\/2, to the nearest integer?\nAnswer: 11738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = r - 12. Suppose -4*j + r + 13 = 0. What is the smallest common multiple of 1 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10198 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 4003016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*g + 13. Calculate the smallest common multiple of 3 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 + 3*w**2 - 3*w**2)*(-99 - 100 + 203).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 94*a**2*m - 22650*a*m - 66264*m + 17 wrt a.\nAnswer: 188*a*m - 22650*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 264 - 131. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25832231.1s to days.\nAnswer: 298.98415625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5 - 854180*c**4 - 84*c**3 - 69551729*c**2.\nAnswer: -120*c**2 - 20500320*c - 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (2 - (41 - 0)). Let p = -52 + m. Does 7 divide (-10)\/p*21*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 7. What is the derivative of -2 - 2*w**s - 7*w**3 + 14*w**3 - 3*w**3 wrt w?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 - 201. Let s be n\/45 + ((-120)\/(-54))\/10. Solve 2*m - 11 = -q + 4*m, s = -4*m - 16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202 - 152 + 67 = 2*p - 8*x + 87 - 78, 0 = -4*x + 148 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3))**(-40)\/(j*j*j\/j**(-6\/7)*j*j\/(((j*j**(-3))\/j)\/j)) assuming j is positive.\nAnswer: j**(491\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 3*m**2 + 4*m - 4. What is c(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 5*q**2 - 18*q + 92. Let t be c(4). Let o(i) = 11*i**2 + 4. Let a(p) = 98*p**2 + 35. Calculate t*a(r) - 35*o(r).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -40\/3. Suppose 2*f**4 - x*f**3 + 0 - 22\/9*f**2 - 4\/9*f = 0. Calculate f.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1247\/27, 1, 4, -5\/4 in ascending order.\nAnswer: -1247\/27, -5\/4, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 1, 12, 13, -2?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 6. Let t be 1\/2 + (-912)\/(-32). Let a = t - 15. Solve 5*j + 8 = -w, -c*j - w = -4*w + a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 + 89 + 87 - 926*k - 263 to y + f*k and give f.\nAnswer: -926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 708*v - 699*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:54 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/31, -2, -5, 1, 390, -1\/3 in ascending order.\nAnswer: -5, -2, -1\/3, 6\/31, 1, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 256697403 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*n + 98 = 4*n, -5*t + 253 = -3*n. Let q be 1\/(-2)*(6 - t). What is q rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 1780*n + 42139. Give t(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*(-8)\/484*(-1)\/(-2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 371320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhqqhhhhhqq. What is prob of picking 3 h?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -22*y**3 + 2*y**2 + 4*y + 3. Is x(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17 + 2 - 0\/(-1). Let z = -97\/5 + i. Suppose -10 = 7*m - 2*m. Which is the closest to z? (a) -1 (b) m (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 13*l + l**3 + 1\/4*l**4 - 7*l**5 + 0*l**2 - 39. Find the third derivative of i(h) wrt h.\nAnswer: -840*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -883270.\nAnswer: 883278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 1110024?\nAnswer: 1110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1310 - ((7 - 7) + 8). Let d = 23 + -15. What is the tens digit of (d\/(-14))\/((-12)\/k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, a: 7, h: 2}. Give prob of picking 2 x and 1 h.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k + 8*k - 2*k + 7*k. Let u(w) = 10*w. Suppose 2*p + 13 = 1. What is p*u(y) + 7*x(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28331?\nAnswer: 41, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1088) + sqrt(1088)*-2)*6 + (-4 + sqrt(153)*-4 - sqrt(153))**2*5.\nAnswer: 552*sqrt(17) + 19205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 10 = 4*h + 3*y, 10 = -2*h - 2*y. Let l be 21\/(-42)*(1 + -1)\/h. Sort l, -4, -1, -14 in decreasing order.\nAnswer: l, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 51056?\nAnswer: 5105b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -9*x. Let v(p) be the third derivative of p**4\/24 + 4*p**3\/3 - 5*p**2. Let o be v(-8). Solve o = -5*z - 5 - x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 262 and 39600.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fef when three letters picked without replacement from {e: 3, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 0*y + y - 7*y + 14 - 16 - 12*y + 0*y + y + 0*y + 0*y + 0*y - 2*y + (3 - 4 + 3)*(y - y - 2*y) + 2*y - 5*y - 5*y in the form r*y + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1522699, 1522700, 1522701, 1522702, 1522703, 1522704?\n\"Answer: c + 1522698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63097015 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from zzzilizizzzizlzll?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -1 + 40\/240*18 + -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlqq when four letters picked without replacement from {l: 3, q: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d - 40. Let b = -67 + 73. Let n be w(b). Is 19\/(n - (-2)\/(22\/45)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:23 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -71625?\nAnswer: 71617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/13)\/s*s)**(-2\/7))**5\/((s\/s**(2\/13))\/(s\/(s*s**(-6)*s*s))*(s**1*s)\/(s\/(s\/s**(-2\/7)))) assuming s is positive.\nAnswer: s**(99\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -610, 2, -5, 4.6, 3\/2, -0.4 in descending order.\nAnswer: 4.6, 2, 3\/2, -0.4, -5, -610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = 22. Suppose 3*s = -2*s + 5*h, 0 = -3*s + h + 4. Let m = 8 - s. Calculate the remainder when z is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1398, -6, -4, -0.3028 in ascending order.\nAnswer: -1398, -6, -4, -0.3028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-1)*m*m)**31)**41)**(-40) assuming m is positive.\nAnswer: m**(-203360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 679621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 994 and 1420.\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7656 and 1056?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 420708.9m?\nAnswer: 420708900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1. Let r(x) = 4*x + 7. Let k(a) = -r(a) - 4*t(a). Let s(o) be the third derivative of -o**4\/24 - o**3\/6 + 1860*o**2. Give 2*k(g) - 10*s(g).\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -25 (b) -3 (c) 12.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 17 (b) 0 (c) -3 (d) 1\/2 (e) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 99 + -63. What is the closest to -1\/4 in h, -5, -3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 18030223 (base 9) in base 11?\nAnswer: 512474a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19200600 rounded to the nearest 100000?\nAnswer: -19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 642487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:08 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1734349.93 + 821.\nAnswer: -1733528.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Put 0.25, 608, -0.5 in decreasing order.\nAnswer: 608, 0.25, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6. Let c(u) = -u - 9. Let z(x) = 2*c(x) + 3*p(x). Suppose -3*b - 4 = -5*b. Let n(h) = 3*h + 5*h + 0*h - b*h. Give z(n(a)).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -19*l**2. Let r(p) = -2*p**2 + p. Let m(b) = 105*b - 75*b - 28*b**2 - 37*b**2. Let i(j) = m(j) - 30*r(j). What is i(f(v))?\nAnswer: -1805*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/104 - -3\/8. Let u be -2 + -8 + 6\/3. Let y(b) = -b - 8. Let q be y(u). Which is greater: q or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 1. Give n(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26538677 rounded to the nearest 100000?\nAnswer: -26500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, g: 2, y: 6}. Give prob of picking 1 g and 2 s.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48548841?\nAnswer: 3, 11, 1471177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*i + 20 = -88*i. Is i at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1903825 divided by -44275\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a meter in centimeters?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*v = 0, -v + 0*v = 4. Suppose -5 + s = 3*j, 5*h = 2*j + 522. Which is smaller: h or 105?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - 7*m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * -0.198.\nAnswer: -5.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15102867 to the power of 1\/2, to the nearest integer?\nAnswer: 3886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 10*b = -38. What is the remainder when 36 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = a, -3*t - 2*a - 1 = -0. List the prime factors of (-15)\/((-12)\/(-8) - t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 0.77693?\nAnswer: 13.20781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*a, -w - 3*a - 1 - 9 = 0. Suppose 0 = 4*o + k - 2*k + 8, w*o - 4*k + 10 = 0. List the prime factors of ((-47)\/o)\/(1\/2).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*o**2 - 6*o**3 + 28*o**2 - 1 - 56*o**2 to w*o + t + i*o**2 + s*o**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3280*p - 42650. Determine m(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 836.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q. Suppose 3*h + 8 = 3*b + b, -4*b + h = 0. Let f(k) = -k**2 + k + 1. Let m(o) = -5*o**2 + 4*o + 4. Let p(y) = b*m(y) + 4*f(y). Determine p(l(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*y - 124*y**3 + 308*y - 115*y**3 + 6 - 4 + 249*y**3.\nAnswer: 10*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 - 108 = 3*y - 7*k, 5*y = k - 42 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-272)\/(-16) + -19)*(-4 + 245\/14)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23111318 = -11*r - 23112110 for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 447730.4mg?\nAnswer: 0.0004477304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -151, -217, -283?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/((-2)\/(-44)). Let k = -8 + x. What is the second biggest value in 4, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) 5 (b) -3 (c) 0.31 (d) 2\/3 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 i when four letters picked without replacement from iuiqquuu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -2787*k**5\/20 + 955*k**3 + 3*k**2 + 1191*k - 2. What is the derivative of s(v) wrt v?\nAnswer: -16722*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 5:40 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {j: 5, z: 1, x: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256887 is divided by 4670?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 212 + -212. Solve -3*s + 3 = -t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/7 + 3730*c\/7 + 3729\/7.\nAnswer: (c + 1)*(c + 3729)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 43 + 9. Suppose -g = 11*d - 72. Solve -10 = -5*p - d*v, -2*p + 3*v - v = 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -12, 8\/9, 52038, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -21*s + 16. Let f be x(-3). Suppose -84*i + 20 = -f*i. Suppose 160 = k + i*o, -6 = -2*k + 5*o + 249. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-2)*(-32)\/(-10). What is the tens digit of d\/24*354\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11874095.\nAnswer: 5, 23, 79, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*c**2 - 1 + 8*c**3 + 62*c**2.\nAnswer: 8*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12679012?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 435.0413 + -0.0413. Let u = 435 - o. Which is the third smallest value? (a) u (b) -2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (4 - (-1 - 2 - -7))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219.9 - 221. Let s = -1.5292252 + 2.6292225. Let o = p + s. Round o to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97b2 (base 12) in base 5?\nAnswer: 1013234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 334*l + 49.\nAnswer: 334*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1488178961 rounded to three decimal places?\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4625226)\/(-45) + 0)\/(2\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -7*h + 246. Suppose h = b - 4*j + 30, -4*b + 225 = j. Suppose -x - 2*x + 2*n + 32 = 0, -4*x + b = 4*n. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158625?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 28*o**3 - 869*o**2 + 29*o + 37. Determine l(31).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h**2 + 644*h - 644*h as v + z*h**2 + c*h and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**31)\/(n\/(n**3*n))*n*n*n\/(n*n*n**(-13))*n\/n**(-2\/3) assuming n is positive.\nAnswer: n**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -0.09, 2, -559, -4, 1, 1\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ca4 (base 16) to base 7.\nAnswer: -63155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-3 + (-4 + 3 - 51) + 3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18938530 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*q + 2*h + 62, 0 = -q + 5*h + 6. Solve 15*l - q = 19*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2931 = -3*g, -4 = -7*a + 9*a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**5\/60 + 2*u**4\/3 - 35*u**3\/6 + 1204*u**2. Give x(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3*j)\/(j**(-10)\/j))**(-32)\/((j*((j\/(j\/(j**(1\/3)\/j)))\/j*j)\/j)**28)**1 assuming j is positive.\nAnswer: j**(-1384\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22102010121 + -10?\nAnswer: -22102010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 2 - (-1771774)\/(-388320). Let l = r + 2\/12135. Calculate the common denominator of l and (-44)\/660*261\/2.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**5\/20 + 7*g**2. Let k(v) = -2*v**2. Calculate k(f(w)).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.7 * 0.11.\nAnswer: -0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 1 + 161348*p**2 + 3 - 161351*p**2.\nAnswer: -3*p**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11*y - 8*y - 3*y + 24*y. Let h(f) = 2206*f. What is h(s(q))?\nAnswer: 4412*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = -3*y. Let j(s) = 47*s - 3. Is j(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42, 34, 30, 36, 58, 102?\n\"Answer: x**3 - 4*x**2 - 3*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:08 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86612 + 86611.999879126. What is t rounded to six dps?\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 243*w - 85. Let o(r) = -485*r + 167. Let s(n) = -2*o(n) - 5*u(n). Find the first derivative of s(l) wrt l.\nAnswer: -245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3 + 52\/12. Suppose 0 = 4*k - 3 - s. Suppose -3*u - 5*m = -4*m - 5, -5*u + 27 = -3*m. Solve -y = -k*t + 4*y - 23, -23 = -u*t - 4*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**2 + 528*w - 23232 = 0?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*k = 12, 2*w + 4*k = w - 9. What is the units digit of 12*4\/w + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6*a - 66 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 95 = -4*p - 3*m, 5*p - 109 = 3*m. Let a = -17 + p. Suppose 582 - 99 = 20*b - 57. What is the smallest common multiple of b and a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = -174*t + 644 - 0. Let r be 1\/3 - 13\/(-15). Find n such that -9\/5*n**2 - r*n + 0 - 3\/5*n**t = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(2\/11)*x)*x**(6\/11)*(x\/(x*x\/x**(9\/2))*x)\/x*x*x**(2\/53)\/x)**(18\/7) assuming x is positive.\nAnswer: x**(51435\/4081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 - 9*g + 7*g**3 - 67*g**2 + 62*g**2. Let m(i) = -22*i**3 + 12*i**2 + 22*i. Determine -5*m(z) - 12*v(z).\nAnswer: 2*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.92 - -0.08. Let b = -0.3308 + 0.0308. What is the closest to -1 in 0.1, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 6, j: 12}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 313*m + 5397. Determine s(-19).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -3\/5 (c) 0.102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 7, s: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27)\/2 + 2 - -12. Find n, given that 2 - 7\/2*n + n**2 + g*n**3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, p: 2, y: 1}. What is prob of picking 1 l and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.84425 * -0.02\nAnswer: -0.036885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 12) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-1150)\/(-138)))\/(((-38)\/4)\/((-30)\/(-18)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -637 = 10*r - 617. Let z(l) = -7*l**2 - l + 2. Give z(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) + (-9)\/(-6). Let i be -5 + t - (-50)\/5. Suppose i*z - 10*z + 51 = 0. Calculate the remainder when 65 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.03 plus -0.05?\nAnswer: 15.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/(-36))\/(455\/260)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = h + 33, 2*i + 2 = 4*i. Let t = -155.5 - -173. Let k = t + -17.1. Which is the second biggest value? (a) h (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.46 to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 8*k + 7. Let h be s(7). Let o be ((-2)\/(-5))\/(h\/50). What is the third smallest value in o, 8\/3, -1?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -152. Let q = -44 + f. Let a(g) = g**q - 3*g + 6*g - 2*g**2 - 2*g - 6*g**3. Calculate a(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9 = i, 2*i + 2*i - 51 = -5*v. Solve 5*f - i = l, 2*l + f = 5*l + 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 4. Let b be (-8)\/(-52) - 252\/(-52). Let q(a) = -a**3 + 6*a**2 - 3*a - 5. Let h be q(b). Suppose t + 30 = -h*t. What is d(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**3 - 7*h**2 + 116*h + 7. Let p(o) = 9*o**3 - 9*o**2 + 116*o + 8. Let k(y) = 6*p(y) - 7*s(y). Find the second derivative of k(c) wrt c.\nAnswer: 30*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 821.5744ml in litres?\nAnswer: 0.8215744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/((-2*sqrt(12) + sqrt(12))\/sqrt(6)))\/((-6*1*sqrt(60))\/sqrt(10)))**2.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 4*x**2 - 19*x**3 + 21*x**3 - 12*x + 19*x.\nAnswer: 2*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 589*b**2 - 9*b - 9. Let n(o) = -147*o**2 + 2*o + 2. What is 2*g(d) + 9*n(d)?\nAnswer: -145*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 5.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/13 in -5, -1093, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 1\/7*a**5 + 4*a + 8\/7*a**4 + 8\/7 + 25\/7*a**3 + 38\/7*a**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3708)\/(-324) - (-4 - -15).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -4*h + 108000. Round h to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 5492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 16. Let u(i) = 5. Let y(n) = 7*u(n) - 2*v(n). Give y(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1\/2288, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.3 plus 0.02?\nAnswer: -103.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 15. Solve 10 = -5*s, -a + 0*s = -p*s - 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32160?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.29 + 0.69. Let f = -2 + 2.2. What is the smallest value in f, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 4 = 15*s. Solve -4*n + 5 = 3*l - 3, 0 = 4*n + s*l - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/93)*z**(2\/9))\/(z**(13\/3)*z*z*z**(-40)) assuming z is positive.\nAnswer: z**(9449\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5 = 3. Let h = -1342 - -1345. Solve -h*b - r = b - 2, -2*r + q = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -19. Suppose u*x - 3 - 11 = 0. What is the third smallest value in x, 3\/2, 1\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 24 - 32 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 397 + 13*u - 23*u - 142*u**3 + 6*u + 4*u wrt u?\nAnswer: -426*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 1257*p + 270*p + 35 - 19 - 1391*p to d*p + z and give d.\nAnswer: -2378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b + 18. Let m = -9 - b. Let t = m - 2. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4217179729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjbbkjkk. Give prob of picking 1 k and 1 b.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/408971 and 93\/22?\nAnswer: 8997362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 25*w - 334. Let b be a(35). Solve b = -4*s + 3*k + k, 4*s = -2*k - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = 4*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 take away 0.253?\nAnswer: 35.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - q**3 + 1 - 36*q**2 + 0*q**3 + 21*q**2 + 0*q**3 to l + n*q**2 + t*q**3 + z*q and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 4 + 0 + 9*v**3 with respect to v.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**(-7)*g)\/g*g))**(-15\/4) assuming g is positive.\nAnswer: g**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -76. What are 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 common denominator of 49\/53 and -51\/8?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -8. Suppose a*u - m = 28, 0*u + 5*m = 3*u - 56. Calculate the lowest common multiple of 6 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-225)*20\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-7) - 374\/1155*-3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 821*c**4 - 130*c?\nAnswer: 9852*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*p**6 - 6*p**5 - 343*p**2 - 2*p**5 - 2*p**5 - 196*p**2 + 0*p**5 wrt p?\nAnswer: 2280*p**3 - 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(sqrt(19) + 1) + (-3 + sqrt(76))*1)**2.\nAnswer: 100*sqrt(19) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0a61 (base 15) to base 16.\nAnswer: 7c2af","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -5*o**2 - 5*o - 6. Calculate j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 566752627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, s: 1, f: 10, k: 2}. Give prob of sequence ks.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 27*c**3 - 9*c**2 + 54*c + 3. Is 5 a factor of j(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -249153*i**2 + 13*i + 3. Let t be m(-6). Let n = t - -24137147261\/2691. Let q = n - 2\/897. Is q smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + a = 5*a + 4, -2*a = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620.357 centimeters in micrometers?\nAnswer: 16203570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6.44 times -6618\nAnswer: -42619.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 57.0346 kilometers?\nAnswer: 57034600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 962 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/9261 and 26\/915.\nAnswer: 2824605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttttdttttt. Give prob of picking 1 d and 1 t.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -94*v + 470. Give x(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -14 + (41 - 41) + 2 + -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -11*x - 26. Does 8 divide a(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4))**(18\/5)*m**(-2)\/m*m\/m**(-2) assuming m is positive.\nAnswer: m**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 198, 409, 664, 963?\n\"Answer: 22*t**2 + 145*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:56 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45433652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -3 - 1) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -13*g + 60. Solve 0 = -g*h - 7 + 27 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36433775 divided by -2135\nAnswer: -17065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p)**(-2\/47)*(p*(p*p\/((p**(-2)\/p)\/p))\/p)**(-1) assuming p is positive.\nAnswer: p**(-280\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 3. Let i be f(6). Does 21 divide -105*1\/(i\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3864 = -10*a + 4*a. Suppose 0 = -7*i + 14*i - a. Find the third derivative of -187*q**2 + i*q**2 + 98*q**2 + 23*q**3 wrt q.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 501 divide 6581205639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and ((-1264)\/5 - 16\/80)*(0 - 1).\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06825851 to 5 dps.\nAnswer: -0.06826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/2 - (-69)\/(-75). Let n(y) be the first derivative of 0*y + 1\/10*y**2 - 2 + 2\/15*y**3 - 1\/30*y**6 - d*y**5 + 0*y**4. Factor n(r).\nAnswer: -r*(r - 1)*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.1, 2\/7, -671, 4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:48 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1935995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 40*f + 37. Let l be i(-39). Suppose 5*v + 21 = 2*p, -4*p = -4*v + 2*v - 18. Put l, 6, p in decreasing order.\nAnswer: 6, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 11) + (10\/3)\/(-2)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2551 and 28130.\nAnswer: 71759630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*c*u**4 + 70750*c*u**3 + 2*c*u**2 + 4614*c*u + 2*u**3 + 5*u**2 - 5*u wrt u.\nAnswer: 648*c*u + 424500*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 150\/(-105)*28\/(-10). Let s be -4*(-3)\/(-2436)*p. Is 0 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*p - 0 - 0. Solve p = 5*s - 2*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 0 + 0*o**4 + 0*o + 0*o**3 - 1\/20*o**5 + o**2 + 1\/60*o**6. What is the third derivative of w(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33833 + 47529. Does 137 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 393 and 33589317.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 8. Let h = -743 + 751. Let s(l) = l - 2*l - 5 + 2 + 0*l. Suppose -2*z + 3 = -3*z. Determine h*s(m) + z*n(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/16, 5\/7, 2598?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89789*r**2 - 102009*r.\nAnswer: -179578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77 - 21*k + 77)*(110*k**3 - 126*k**4 - 110*k**3).\nAnswer: 2646*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.2 times 39?\nAnswer: -2737.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255024 and 1840.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -d6?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10846913 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16411 times 4\nAnswer: 65644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 32*r + 24. Let j = -124 - -107. What is the tens digit of q(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 15*p**2 + 7*p + 110. Let g be r(-15). Solve -3*w + 13 = -2*i, -3*w = -g*i - 4*w - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - (-108 - (1 + -3)). Suppose 2*f + f = -3*s - u, 182 = -5*f - 2*s. Does 36 divide -1*(4 - 3)*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/270017?\nAnswer: 3\/270017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/12 (b) 2 (c) -15393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**4 + 448129*w**3 - 50203779823*w**2 - 251028309909*w - 200824081956 = 0.\nAnswer: -4, -1, 224067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01197 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 5 + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 496, 3876, 13060, 30952, 60456?\nAnswer: 104476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. Let p(c) = 4*c - c**3 + i + 2*c**3 - 6. Let a(f) = -4*f + 1 + f + 4*f - 2*f. Calculate 10*a(h) + 2*p(h).\nAnswer: 2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 5. Suppose 0 = -3*r + 4*v - 5, -4*r + 1 = -v - 1. List the prime factors of q(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3430 and 11?\nAnswer: 37730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 - 2)*(18*b + 9*b + 13*b) as u + i*b and give i.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340222 (base 7) to base 14.\nAnswer: -17cb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 - 32 + 131 - 45 - 4*z - 33.\nAnswer: -4*z - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 6:02 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = j - 4*a + 4, 0 = -4*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n + 10 = 5*o, 2*n = -10. Let s = 8 + 3. Calculate the remainder when s is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - j + 1)*(-9*j - 2*j + 3*j) + j**2 - 2*j**2 - j**2)*(3 + 2*j - 3).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2468 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 743 a factor of 106997201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/v*v**5)\/((v**(-7)*v)\/v*v*(v*v*v*v**(-5\/2))\/v) assuming v is positive.\nAnswer: v**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14956179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2531288125 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -104, -137, -170, -203, -236?\n\"Answer: -33*i - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -6*b + 3*b - 6 + 16*b. Suppose -2*t - 5 = 3*i - 7*t, -i = -5*t + 15. Is h(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 10. Let t be (7 - -2)*(k + -4). Let f = t + -1. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 20 - 1\/3*o**3 + 1\/120*o**6 + 2*o**2 + 0*o**5 - 1\/24*o**4 + 0*o. Determine u(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/990 and -51*30\/(-2916) - (4 + 24\/(-8))?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18463*h**2 - 55403*h**2 + 18475*h**2 + 18465*h**2 + 9*h**3.\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 9:20 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 746*k**3*p**2 + 5*k**3*p - 3*k**3 - 11*k**2*p**2 + 679*k**2*p wrt k?\nAnswer: 4476*p**2 + 30*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**2 + 104263335*q - 104263340 = 0?\nAnswer: -20852668, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 8:11 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + 1*(3 + sqrt(200) + 1) + (sqrt(200)*1 + 0)*6 + 3)**2.\nAnswer: 980*sqrt(2) + 9850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11371580 divided by -2035.\nAnswer: -5588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5))**(-31)*(u\/(u*u**5\/u*u))**(-1\/45) assuming u is positive.\nAnswer: u**(1396\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/50 and -2 - ((-344)\/(-180) - 1)\/(-1).\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21 + 1)*2\/2. Let n = -1023 + 999. Let g = n - f. Put -5, 3, g, -1 in decreasing order.\nAnswer: 3, -1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 19*m + 15. What are the prime factors of p(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -588837*o**2 - 588825*o**2 + 1177663*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 3353744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87.8 + -91. Let r = v + 3.96. What is r rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3087) + sqrt(3087) + (sqrt(3087) - (sqrt(3087) + sqrt(3087)*1*1)) + sqrt(3087) + sqrt(3087))\/((sqrt(576) - sqrt(576)*-1)*-1))**2.\nAnswer: 3087\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/13 - 86*w**2\/13 - 36*w + 1296\/13 = 0. Calculate w.\nAnswer: -36, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -64.81.\nAnswer: 129.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 = -3*v - 2, 4*v - 3*p + 3 = 0. Suppose v = -5*q + 2 + 8. Suppose -q*z - z = 0. Is 0 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/396054 - -24357421\/39605400. What is the common denominator of -89\/100 and i?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 2*r + 176 = 2*o, 9 = 3*r. Let c = -57 + o. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (74\/(-26) + 3)\/(10044\/1404). Is 0 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 559813.3 weeks?\nAnswer: 338575083840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -406, -616?\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -902360*c*y**3 - 43395*y**3 + 6 wrt c?\nAnswer: -902360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 342826919*x**2 - 25*x + 2100132.\nAnswer: 685653838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 922 - -71608?\nAnswer: 72530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -x, 5 = -x - 2*h - 1. Let w(z) = 250 + 0*z - 252 + 2*z. Determine w(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7\/2)*t*t*(t*t**(-2\/13)*t)\/t)\/(t**(2\/19)\/(t\/(t\/t**(-16))*t)) assuming t is positive.\nAnswer: t**(-7785\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(14\/7))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -a**3\/6 + 5*a**2 - 2*a - 16. Let r be (-1)\/(-2)*(-280)\/(-4). Suppose 0*t - t = -5*q + 20, -4*t + r = 3*q. Determine l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 - -2bc?\nAnswer: 2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**2 + 5*i - 5. Let l be o(2). Let j = l - -13. Let m(v) = 5*v**3 + v**2 + v + 1. What is the tens digit of m(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**3 + 2*l**2 - 1. Let m be p(1). Suppose -2*d - 2*h - 14 = -10, 5*d = 3*h + 30. Let a be (-69 + 66)*(-1)\/d. Put 3, a, m, -4 in ascending order.\nAnswer: -4, m, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125.9 + -125. What is the nearest to -1 in 4, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4 + 5*q - 2*q**2 + 3*q**2 + 0*q**2. Let y be z(-5). Let s = -24 - -28. Which is the third smallest value? (a) 0.2 (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 9*c**4\/8 - 10725*c**3\/2 - 57273*c**2\/2 + 21474*c = 0.\nAnswer: -6, 0, 2\/3, 4772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-2 + 0)\/4). Suppose 2*f + 12 = s. Is f less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4533 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 62*g + 982. Determine y(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 8*o + 5. Let j be h(8). Sort -3, j, 0, 16 in descending order.\nAnswer: 16, j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (6 - 30) + (-1 - -12) + -8\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -5*z, -922*g = -923*g + 4*z - 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 46696 divided by 4\nAnswer: 11674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/49 and -16\/49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 882678444 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 223.7 rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -30, -4 in decreasing order.\nAnswer: 5, 2, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -14*n**2 - n + 5. Let s(a) = -13*a**2 - a + 4. Suppose -31 = -2*r - r + 4*v, 0 = 5*r + 3*v - 13. Let x(q) = r*s(q) - 4*b(q). Give x(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/9)\/(f*(f\/f**(-2))\/f*f)*f\/f**(-2\/5)*f**(1\/2)*(f*f\/((f\/(f**7*f)*f*f)\/f*f)*f**(-2\/5))\/(f**0\/((f*f\/((f**(-2\/23)*f)\/f))\/f)) assuming f is positive.\nAnswer: f**(2405\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4827549?\nAnswer: 3, 229, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -23746*k + 11884*k + 406 + 11870*k as g*k + y and give y.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9981, -19981, -29981, -39981, -49981?\nAnswer: -59981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32469*g**3*i*p**2 + g**3*p - 2*g**2*i**2*p + 717*g*i**2*p**2 + 1546*g*i**2*p + 3*g*i*p - 3*g*p + 41*i**2*p wrt p?\nAnswer: -64938*g**3*i + 1434*g*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0 + 32 = 4*z, -3*z = -3*i - 33. Suppose z*s = 2*s - 3*f + 60, 5*s + f = 60. What is the remainder when (-9)\/(-36) - 179\/(-4) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.7779987 millimeters?\nAnswer: 0.07779987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-184)\/(-138)*(42\/16)\/(-7)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - 16*v**2 + 88*v + 629. Let n be m(-9). Let j = 0.4 + 2.6. Which is the closest to n? (a) 3\/4 (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**3 - 35410*f**2 + 5606005*f - 5570600 = 0. What is f?\nAnswer: 1, 161, 6920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 8. Let s be q(5). Suppose s*b - 9 = 12. Let x = b - 4. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -87 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 29\/4, -20, 5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -51a?\nAnswer: -51c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430*s - 19*s**3 + s**3 + 430*s.\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*3\/((-45)\/10). Let v be (-8)\/(1 + (h - 7)). Let u(z) = z**2 - 6*z + 1. Determine u(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(24\/(-9)))\/8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (110 - 2)*38325\/175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1601 = -769. Suppose 4*w - n = 274. Calculate the greatest common divisor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 c when four letters picked without replacement from cbtqqbtbqcqqctccc?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/6)\/(2 - 5\/2). What is the second derivative of 13*t**i - t**5 + 8*t**5 - 2*t - 3*t wrt t?\nAnswer: 400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.153 - 0.247. Round i to zero decimal places.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 3 + -26763*(-28)\/(-250068). Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 11*s**2 + 2*s + 207. Let w(j) = 3*j**2. What is z(w(m))?\nAnswer: 99*m**4 + 6*m**2 + 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21341524\/315 - 67751. Let o = -2\/105 - q. Suppose 10 - 6 = 4*y. Is o smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1020, 2017, 3108, 4329, 5716, 7305, 9132, 11233?\nAnswer: 13644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-73918)\/(-40) - (-1)\/4. Let o = b + -1855. Calculate the common denominator of (-4)\/(-14) - (-24)\/(-7) and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 4*a + 9. Suppose 0 = -a*w + 3*l + 24, 2*w - l = -3 + 14. Calculate the highest common divisor of w and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*o + 5 + 19, 0 = 2*l + 2*o - 14. Let x = -1 - -4. Solve r + 0*d - l = -3*d, -r + 3*d + x = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892916?\nAnswer: 2, 223229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 16468.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -1537, -5029, -11831, -23047, -39781, -63137, -94219?\nAnswer: -134131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 5)*(-4*q + 2*q + 0*q + (1 - 2 + 0)*(q + 1 - 1) + 2*q + 1 - 1 + 0*q + 0*q + 2*q - 25*q + 112 - 112) to u + c*q and give c.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/5 (b) -0.1 (c) -272 (d) 7956\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*j + 2*s, 4 = -4*j - s + 3*s. Let l(c) = -7*c**2 + 1. Calculate l(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(1100))**2 + (sqrt(121)*2*-5)\/sqrt(11) + ((sqrt(154)*-2)\/sqrt(7))\/(-1*sqrt(50)).\nAnswer: -48*sqrt(11)\/5 + 4402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-24591818.\nAnswer: -49183636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 10 - 11 + 0*n - 4*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = -5*i + 8*j + 80, -5*i + j = -105. Suppose -i*m = -10916006 - 104283994. Round m to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45911, 183676, 413299, 734792, 1148167, 1653436, 2250611, 2939704?\n\"Answer: 2*l**3 + 45917*l**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + (-3*sqrt(204) + sqrt(204))*4 - sqrt(204)) + sqrt(204) + sqrt(204))\/((sqrt(1728)*-4 - sqrt(12)) + sqrt(12)).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = c - 114. Suppose 5*d = -2*j + 142, -j + 0*j = -3*d - 60. Suppose 7*g - c = j. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 1, 0.2, 0, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*t = 68, -9*t + 128 = -1195*n + 1191*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47 and 43\/2765.\nAnswer: 2765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17977833?\nAnswer: 3, 211, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -8*c - 0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-1 + sqrt(75)))*5 + 5 + ((sqrt(18) - (-2*sqrt(1152) - sqrt(1152)))\/((1*sqrt(60) + sqrt(60))\/sqrt(10)))**2.\nAnswer: -20*sqrt(3) + 1915\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v\/(v*v**1))\/v))\/((v*v**(-2\/5)*v)\/v)*v\/(v\/(v\/v**(3\/4)))*v*v**2*v**(-6)*v**(2\/11)*v**(-3\/7)*v*v**(-3)*v assuming v is positive.\nAnswer: v**(-3999\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 b when four letters picked without replacement from {q: 15, b: 4}.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -6*b + 0*b**4 + 0 - 19\/2*b**2 - 1\/4*b**5 + 0*b**3. Differentiate o(p) with respect to p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 11 + 14. Let m = -4 + 7. Let z be (4 - -2 - 6) + 4 + -3. Solve t = -m*a - z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.883162ns in minutes?\nAnswer: 0.0000000004480527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30532362940 - 30532363190.99999851. Let j = 251 + z. What is j rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.25 - 1.15. Let v = 5 - a. Let o = v + 1.3. Sort -2\/3, 2, o in descending order.\nAnswer: 2, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2507*y**2 + 6 - 12 - 1 - 3 + 12.\nAnswer: 2507*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/1183 (b) 0.02 (c) 535.9 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 21 = -5*f + 5*m, 2*f + 3 = -m. Suppose k = f + 3. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*c + 63 = -0*c, -79 = -4*w + c. Suppose 16*q - 240 = 13*q. What is the highest common factor of w and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + ((-4)\/(-2) - -1). Let d = x + 0. Suppose y = -d*y + 132. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2149.91 - 2161. Let z = -2.5 - 7.5. Let n = z - j. Round n to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/d**(-15))\/d*d))\/((d*d\/(d\/((d*(d*d**20)\/d)\/d))*d*d)\/d)*d*d**(-2\/5)*(d\/(d*(d\/(d*d**1))\/d*d))\/d)**(-40) assuming d is positive.\nAnswer: d**1456","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2125)\/(-11) - 6\/33. Let x = z + -111. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1718549 is divided by 232.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*s**2 - 25*s**2 + 33*s**2)*(-s + 0*s + 1 + 1) in the form i*s + y + v*s**3 + a*s**2 and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/a*a**(16\/7))**10 assuming a is positive.\nAnswer: a**(510\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w + 60. Let b(s) = -s - 13. Let k be b(w). Let n = -257 + 262. Solve 1 = 5*u - n*t + 6, u = -k*t + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 13*m**2 + 70*m - 29. Suppose -28 = 4*o, 38 = z - 1416*o + 1413*o. Give q(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**4\/12 + g**2 + g. Let w(a) = -a**2 - 3. Let i be 24*(-4)\/(-84)*(-14)\/(-4). Determine i*x(q) + 3*w(q).\nAnswer: q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 15*a**2 - 32*a - 47. What is the remainder when t(-12) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = v + 5, 5*v - 1 = -4*b + 50. Suppose 4*p + 6 = 2*x, -5*p - 2 - v = -3*x. Solve -x*a = -a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3310187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p + 18 = -20*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848 - 9704 = 225*c + 148*c - 1357*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231258032 and 520330572?\nAnswer: 2081322288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -3680, 13\/2?\nAnswer: -3680","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 2*q + 11. Let y be v(0). Solve -y + 9 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 3313\/4, -1\/4, 2\/5.\nAnswer: -1\/4, 2\/5, 26, 3313\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 6*r**2 - 3*r. Calculate a(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 252934766 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1162101 and -312.\nAnswer: 362575512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (-5 - (-22 + -18))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 98806301 and -0.05.\nAnswer: 98806300.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = 4*k + 574. Let j be k\/(-24) - (-6)\/8. Let n = j - -43. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1472 - -1469. What is the second biggest value in 5\/6, p, -5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 10*q**2 - 9*q + 13. Is i(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/(-24) + 14\/6. Suppose 5*q = 5*m + 35, 2 + 1 = 3*m + 5*q. Which is the closest to d? (a) 0.2 (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:23 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724070?\nAnswer: 2, 5, 61, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 104.6 and 0.1.\nAnswer: 10.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*i = -11 + 111, 3*b + 5*i = -110 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -340738 at most -340737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4 - 4*b**3 + 16*b**2 + 16*b = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*c**2 - 2\/5*c + 2\/5 + 2\/5*c**3 = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 8*j + 105. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 436, 1730, 3886, 6904, 10784, 15526, 21130?\n\"Answer: 431*n**2 + n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 50, 105, 162, 221, 282, 345, 410?\n\"Answer: y**2 + 52*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -131 and -38 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose -l = w*l. Let h be 0\/(-4*1 - -3). Solve k + l*k + 3 = h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.746 and -0.3?\nAnswer: -0.2238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14348*b**3*m**3 + 5454*b**2*m**3 + b**2*m**2 wrt b?\nAnswer: 86088*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 - -7611.1?\nAnswer: 7213.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:42 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 253160 divided by -25316?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-three eighths of a tonne?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -613 - -615. Suppose 20 = w*d + 16. Solve 4*u = -4*b - 7 + 3, d*u = b + 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-61 - (-136 + 49)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 12. Let v be p(0). Let q be 46\/(-60)*(v - 8). Let t = -536\/165 - q. Sort -0.02, -4, t.\nAnswer: -4, t, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-4) - 1)*(-2)\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 7 + l - l. Let x be v(5). Let g be 2*(-2 + 6 + x). Solve 2*q = -4*n + 6 - 16, 0 = g*n + 4*q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dirxrodrr. What is prob of sequence rrro?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1316, 1318, 1320, 1322, 1324, 1326?\n\"Answer: 2*p + 1314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796a16 (base 11) in base 8?\nAnswer: 13461234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(33\/5)*h*h\/(h*h\/(h**(4\/5)*h)*h*h))\/(h**(-2\/79)\/h*(h\/(h*h\/(h\/(h*h\/(h\/((h*h**(-39))\/h))))))\/h) assuming h is positive.\nAnswer: h**(-16501\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 527 = 108*v + 95. Let n(h) = 12*h**2 + 3*h - 4. Let j(g) = -g**2 - g + 1. Let r(p) = 3*j(p) + n(p). Let t be r(-1). Solve 0*c + t = v*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4554, 4555, 4556, 4557, 4558?\n\"Answer: j + 4553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*f + 1220, 4*i - 5*i - 5*f + 616 = 0. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00645 times -1.38048?\nAnswer: 0.008904096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, t: 1, c: 1, x: 1}. What is prob of sequence ctx?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224134342 - -1?\nAnswer: -224134341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10*15\/(-54)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5\/5 + 63*g**4 - 5241*g**3\/5 - 130131*g**2\/5 + 394212*g = 0.\nAnswer: -19, 0, 13, 35, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 16186580.\nAnswer: 48559740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684*n = -2*l + 680*n - 12, 4*n + 13 = 3*l - 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Let q(z) = n*z**3 - 3*z**3 + 0*z**3 - 4*z**2 - 5. Suppose -20 = 7*i + 8. What is q(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -35*d**2 - 11*d**2 - 40*d**2. Let i(f) be the second derivative of -f**4\/6 + 114899*f. Calculate i(m(o)).\nAnswer: -14792*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 1, u: 2}. Give prob of sequence zl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*c + 8*c = -140 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:59 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8472839653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 + 4*z**5 + 2*z**5 + (-1 + z**2 + 1)*(2*z**3 - 2*z**3 + 4*z**3) - 292*z**5 + 589*z**5 - 243*z**5.\nAnswer: 62*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -375 in 4, 10, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6963ac - -3?\nAnswer: 6963af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_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: Rearrange (-j - j - 13 + 11)*(-j**2 + 1 - 1) to z*j**3 + h*j + f + s*j**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 48*a**2. Let z(h) = 7*h**2 + 6*h + 12. Let j(n) = -n**2 - n - 2. Let m(u) = 6*j(u) + z(u). Give k(m(d)).\nAnswer: 48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 114375 times 15843?\nAnswer: 1812043125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u. Suppose u = -2*z - 2*z. Let j be ((-3)\/4)\/(3 + z). Which is the nearest to j? (a) -0.5 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1369200 by 6.\nAnswer: -228200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 80?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 5*i**2 - 2*i - 4. Let p(b) = 2*b**2 - b. Let l be p(-1). Calculate f(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90 * -31.\nAnswer: -2790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 1262*h + 1265*h - 1 + 50*h**2 in the form m*h**2 + x*h + v and give m.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 399 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -l + 3*l. Let h = -4 - l. Find the second derivative of -2*o + 0*o**2 + h*o - 2*o**2 wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25c - -602?\nAnswer: 85e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-7 + 6)\/((-3)\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 453, 950, 1487, 2064, 2681?\n\"Answer: 20*s**2 + 437*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17317, 17313, 17309, 17305, 17301, 17297?\n\"Answer: -4*j + 17321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -162654 + 419647241\/2580. What is the common denominator of 47\/1376 and h?\nAnswer: 20640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*m - 22 = 0, -6*m + 5 = -7*m. Suppose 3 + 121 = o*i. What is the highest common factor of i and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51451127 (base 8) to base 15.\nAnswer: -e549a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*1\/(-2))\/((1287\/(-36))\/(-13))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 147*b - 1352. Determine g(8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -6*f + 0 + 1\/6*f**4 - 1\/20*f**5 + 2\/3*f**3 - 2*f**2. What is d(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-221726)\/(-3))\/((-6)\/(-11) - 140\/(-1155)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1273791, -1273792, -1273793?\n\"Answer: -b - 1273790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 49286.\nAnswer: 7\/49286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1677*300\/(-32250)*10\/(-4).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -21233202?\nAnswer: -21233131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103489.\nAnswer: 37, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 0*z**2 + 0*z + 3*z**2 + 2*z + 2 - 2*z**2. Let q be x(-2). Suppose q*b - 7 = b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = 6. Let m = 789 - 808. List the prime factors of 1\/q*(m + 244).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 6\/115991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -45. Let y = 23 + -20.4. Let o = y - 3. Which is the second smallest value? (a) 2 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/3)*x*x)\/x)**(6\/11)\/(x**1\/x)**(1\/27))**(-10) assuming x is positive.\nAnswer: x**(-40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11623600979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -15*v + 15*v, 9*v = -q - q - 99 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -258 in decreasing order.\nAnswer: -2, -3, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(132) - (-2*-4*sqrt(132) + sqrt(132))))\/(sqrt(96)\/(-4*sqrt(8)*-2)))**2.\nAnswer: 405504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 10:15 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -18. Let v be ((-2)\/h)\/((-10)\/(-605)). Let u be -1*400\/(-22) + 22\/v. Calculate the greatest common divisor of u and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 55*x**3 - 4*x**2 + 0*x**3 + 45*x**3.\nAnswer: 100*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1 = -4*v + 28, 2*v - 31 = -p. Let f = 16 - v. Let q be 2*4\/(f - -1). Which is the biggest value? (a) -3 (b) -0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211536473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4957*p - 7*p**2 - 4957*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 10.51?\nAnswer: 11.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 16*m**2 - 1462*m - 8896. Calculate y(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 204*u - 19487. What is the thousands digit of k(175)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/7*(-2807)\/(-1604).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/9 and -35\/333.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 28.2218 times 342\nAnswer: 9651.8556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 7*w**2 - w + 10. Suppose 0 = 5*v + 1 - 36. Let x be i(v). Suppose 0*u + x*u = 69. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 2*v**3\/3 - 3*v**2 - 8*v - 113. Give j(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 2*g + 3. Let y be m(-4). Let p be ((-6)\/(-4))\/(2\/4). Let c(l) = 5*l + 0 + l**2 - 1 - 1 + p. Determine c(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -13*m + 11*m - 11, 0 = -5*m - 2*i. Suppose -m*t + b + 4 = 0, t + 7*b - 4*b - 9 = 0. Solve -t*q = -8*q + 15, 3*q = -4*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 5*y - 8*y**3 - 5*y + y**2.\nAnswer: -15*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 6*f. Let p(d) = d**3 + 12*d**2 - 13*d + 3. Let t be p(-13). Solve f*y = -t*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(44)\/(-3*sqrt(4) + sqrt(4)))**2*-6.\nAnswer: -45\/2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, 2\/47, 0 in decreasing order.\nAnswer: 2\/47, 0, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 78?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, d: 1, w: 1, i: 2}. What is prob of picking 1 i, 1 w, and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-19 + 6) - (-1 - 0)) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.3507ml to litres.\nAnswer: 0.0513507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -8.85?\nAnswer: -61.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 + -86. Suppose 0 = 67*s - 32*s - 2660. What is the biggest value in 3, c, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 8*x**2 + 49*x + 81. What is m(-5)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.003973 at least as big as 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -819*k**2 - 576*k**2 + 1874*k**2 - 511*k**2 - 673*k**2.\nAnswer: -705*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, -14, -3\/5, 51, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14920 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034983 rounded to 6 dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 128 = 7*p. Suppose -p*h = -4*h - 1296. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 1. Let c = 2 - 0. What is the lowest common multiple of t(-5) and (-1 + 5 - c) + 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from urruquqrupp?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/14)\/((-60)\/(-14)))\/(22\/(-55))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -31. Let m = -111 - -110. Put m, 0.4, s, 1\/4 in ascending order.\nAnswer: m, 1\/4, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16225.47972 to the nearest ten.\nAnswer: 16230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-35)*((-108)\/(-378))\/(24\/(-28)).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 17*c - 28. Suppose -2*l - 5*a = -7*l - 30, -4*l - 4*a - 8 = 0. Let u(y) = -53*y + 84. Let d(p) = l*u(p) - 11*o(p). What is the units digit of d(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 21. Suppose b*z - 35 = 2*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010 (base 2) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101880 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 42, 0.8645 in increasing order.\nAnswer: 0.8645, 4, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 23*u - 16. Let n be p(-15). What is the common denominator of (-849)\/(-26) - 16\/n and 163\/78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -835, 5, 19, 3 in descending order.\nAnswer: 19, 5, 3, -835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/1786? (a) 0.4 (b) 6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1923 = 40*x - 717. Factor -42*z - x + 3*z + 223*z**2 - 226*z**2.\nAnswer: -3*(z + 2)*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23659 is divided by 131?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1700904407 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 7*k + 10. Let c = 2 - 10. Let u be r(c). What is the derivative of -u + 1 - a**3 - 1 wrt a?\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -1\/48*a**4 + 0 + 2*a - 1\/8*a**2 + 1\/12*a**3. Factor o(m).\nAnswer: -(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 13*i**2 - 3*i + 8. Let s be o(-9). Let q = -251 + s. Let l = -97 + 118. What is the highest common factor of q and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000595292 to 6 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -3, 0.\nAnswer: -3, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1908 and -41\/626248.\nAnswer: 5636232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 - 58870*a - 173283845.\nAnswer: -5*(a + 5887)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(6\/11))\/(z*z*z*z*z**(-19)*z) assuming z is positive.\nAnswer: z**(171\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 divided by -6?\nAnswer: 121\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, j: 2}. Give prob of picking 1 j and 2 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22.3*-5\nAnswer: -111.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -165 + 162 - (1 + 0 - (-2 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -0.9. Let t be (-30)\/70 - 64\/14. Let g = 20.5 - 18.5. What is the closest to -0.4 in s, g, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bkkkkbbbbk.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 16*f + 17. Let d be w(-15). Let o(s) = 91*s**2 - 66*s**d - 45*s**2. Let j(g) = -g. Give j(o(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1\/3 (c) 3 (d) 138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1195, 3151, 10395, 20537, 33577, 49515, 68351?\n\"Answer: 1449*y**2 - y - 2643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 10*r - 11. Let c be w(9). Let n(p) = 40*p. Let k be n(c). Round k to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24227217 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + a + 1. Let u be 50\/5 + 88\/(-22). Let r(s) = -53*s**2 - 6*s - 6. What is u*g(t) + r(t)?\nAnswer: -47*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 207223*m**2 - 2*m + 3. Let q(s) = 25*s**2. Give p(q(k)).\nAnswer: 129514375*k**4 - 50*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 27.6 from -55068827.\nAnswer: -55068854.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116057 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747251156.\nAnswer: 2, 31, 137, 43987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36515?\nAnswer: 5, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1)*2\/6. What is the first derivative of x*c**4 - 3 + 4*c**4 - 5*c**4 + 6*c**4 wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3452 - -3454. Suppose z - 4*w = -1 + 18, -z - 2*w = 13. Let u = -5 - z. Sort s, -2\/5, u in increasing order.\nAnswer: u, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -2*z**6\/5 + 14*z**5\/15 - 7*z**4\/3 - 28*z**3\/3 + 73*z**2 - 14. Let l(q) = q**3 - q**2 + q + 1. Determine 224*l(f) + 4*s(f).\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 102, 180, 258?\n\"Answer: 78*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9627 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3815006850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/5 (b) 5 (c) 18106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 6 = -x - 2*o, 3*o = -5*x - 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjvjvjvjijn. What is prob of sequence vjj?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 72 = 3*p + 43, -64 = -10*t - 3*p for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 10*x - 4. Let s be m(10). Let q(b) = -2*b**2 - 2*b + 2. Let c(o) = -o**2 + 1. Let y(p) = c(p) - q(p). What is the units digit of y(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 3*n - 14*n**2 + 2 + 11*n**2 + n**2 + 7*n**2. Let j = 145 - 142. Let d(p) = 3*p**3 - 6*p**2 - 4*p - 3. What is j*d(a) + 4*x(a)?\nAnswer: a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 4, -4*r - 4 - 4 = -3*c. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/5 (b) -0.5 (c) 1\/2 (d) -0.062\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1256\/6)\/((-26)\/(-117)). Suppose a = -52*o + 55*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -23, -65, -145, -275, -467?\n\"Answer: -2*x**3 - x**2 + x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -47?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54 - 13?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 382\/8 - (-3)\/12. Suppose 2*u - 25 = 5*r, -5*r = 5*u - 3*r - z. Does 10 divide 284\/u - 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9155, 18308, 27461?\nAnswer: 36614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 1002*b**2 - 3. Let v(y) = -2*y. Determine v(r(d)).\nAnswer: -2004*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 545\/85932 + -3\/868. Let u = r + 2005\/25641. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1500 - 2011 = 116*d - 379 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**5\/20 + 2*c**4\/3 - c**3\/3 + 11*c**2\/2 - 181*c + 2. Give r(-9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 + 3*p + 3. Let x(o) = -7*o**2 - 5*o - 5. Let m(t) = 10*f(t) + 6*x(t). Let c(g) be the third derivative of g**4\/4 - 3*g**2. Calculate m(c(z)).\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 14*p**2 - 19*p - 4. Suppose 0 = 4*y - 10*y + 78. Let t be u(y). Let i = t - -171. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (23\/2)\/(16\/64). Suppose -u*z = -45*z - 97. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721437.\nAnswer: 3, 240479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -315 or -295?\nAnswer: -315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 34*d - 1475. Determine l(39).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/15 + 2\/(-20). Let n = -3.7 + 7.5. Let a = -0.8 + n. What is the closest to 0 in h, a, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33.85346536 - 2.38239116. Let b = a - 23.471077. Let g = b - 8. What is g rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -10, 3*i = -2*d + 248 + 321. Let o = -127 + i. Does 32 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 - 3)*(0 - 2*q + 0) + (752 - 1350 + 778)*(6*q + 3*q - 3*q) as f + g*q and give g.\nAnswer: 1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 12. Let f be ((-2 - -2) + 14)\/x. Let d = f - 5. What is the second smallest value in d, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*k**4 - 2*k + 88*k**4 + k**3 - 3 - 48*k**4 - 2*k**2 to the form n*k**2 + g + b*k**4 + v*k**3 + x*k and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 20980 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: c360e (base 15) to base 7\nAnswer: 5155430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*o - 4, 4*o = -2*l + l - 4. Let r = -14 + 49. Suppose 4*q - r - 49 = o. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -7\/41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 11824*z**2 - 35469*z.\nAnswer: -z*(z - 35469)*(z - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.17 - -1.16999865. Round u to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.257 and -2.5453.\nAnswer: -0.6541421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35.5 - -35. Which is the third biggest value? (a) -2 (b) s (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 4620825?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s. Let d(h) be the first derivative of -5*h**2\/2 - 1. Let w(c) = -6*c. Let t(i) = -5*d(i) + 4*w(i). Let l = 75 + -81. Determine l*u(k) - 17*t(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 3*w**4 + 10*w + 5. Differentiate p(c) with respect to c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 19517168?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234308*-1.\nAnswer: 234308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351810 and 6588.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + -5.05. What is the biggest value in 5, -0.1, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-60)\/(-3))*40\/108?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + r - 12 = -0*r, -b + 2*r = -3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 61849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747 + 749 = -45*r + 1406 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/80*(-8)\/(-90). Let z(h) be the third derivative of 0*h + 0*h**3 + 1\/135*h**5 - o*h**6 + 0 + 1\/108*h**4 + 2*h**2. Let z(x) = 0. What is x?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1750*p - 877 + 2008 + 4652 + 4717 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*y + 1. Let l(h) = -h**2 - 9*h - 6. What are the prime factors of l(y)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24897 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose 2*x + x - 5 = v, 10 = -q*v + 4*x. Put -7, 1, v in decreasing order.\nAnswer: 1, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 27590 and 27590 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57133615?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 2*z**7\/7 + 2*z**5\/5 - 22*z**3\/3 + z**2 - 33. Find the third derivative of u(l) wrt l.\nAnswer: 240*l**3 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 17 - 60*c + 62*c + 2.\nAnswer: 2*c + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 36*a - 5. Let v be s(-36). Sort 2, 4, 56, v in decreasing order.\nAnswer: 56, 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39783740 * 0.5\nAnswer: -19891870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8*g**2 - 8*g - 3. Let z(l) = 5*l**2 + 10*l + 3. Let k(x) = -4*o(x) - 5*z(x). Determine k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-30)*60\/(-24) + 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155726 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7267801\/6 or 1211299?\nAnswer: 7267801\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10196, 40772, 91734, 163082, 254816?\n\"Answer: 10193*p**2 - 3*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = v + 4*v + 3*c, -82 = -3*v + 2*c. Let z be (-33)\/150 + 9\/v. Sort z, 2\/3, -0.5, 4.\nAnswer: -0.5, z, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 11:08 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -201.13 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3214*h**4 + 47*h**2 + 11 wrt h?\nAnswer: -77136*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -85*j. Let o(u) be the third derivative of u**4\/2 + 61*u**2 - 18*u + 2. Give o(s(c)).\nAnswer: -1020*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - 7. Let h = d - -13. Let j = 8 - h. Is 0 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112222002 + -10?\nAnswer: 11112221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -610 = -9*u - u. Let a = 152 - u. Suppose 5*x = -6 + a. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0 - (11 + 0) - -5 - 13\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203\/6 > 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 64*h - 61*h + 34 = 0, -82 = -4*x - 5*h. Is x bigger than 169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3260? (a) 187 (b) -221 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 8*i + 1056. Let a = i - -66. Solve -2*l - 6 + 2 = a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15632, -31272, -46912?\nAnswer: -62552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (360\/35)\/(-9)*(-1)\/2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-30)*-2)\/(-1*1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/30*-6)\/((-120807)\/(-6495))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 6*y + 10*y)*(-5*y + 11 + 6*y + 5).\nAnswer: 10*y**2 + 160*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/19)\/(z*z**(-3)))**(1\/37) assuming z is positive.\nAnswer: z**(36\/703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -20*s + 29. Calculate the remainder when 147 is divided by i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:40 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40854917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h**2 + 468*h - 457. What is b(77)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 21*g**2 - 22*g - 14. Give d(-22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/9*189\/14. Let t be (3\/4)\/(y\/(-80)). Which is the biggest value? (a) -5 (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 12 = 4*j, -5*j - h = -0 + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c = 702 - 792 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 464 - 151 + 6433*c - 156 - 159 to u + y*c and give y.\nAnswer: 6433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -142, -154, -166, -178, -190?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a - 10*a + 4*a + 5*a - 22*a.\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002715 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: Let l(d) = d**3 - 2*d - 1. Let f be l(-1). Suppose f*u - 3 = -u. Let n(z) = -u*z**3 + z**3 - 2*z**3 + 3*z**3 + 3. What is n(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) -43 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.782935 + 14.00293443. Let q = v - 1.22. Round q to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 35*h + 5. Let b be f(5). Suppose -4*o + 560 = b. Calculate the highest common factor of 19 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 90.8.\nAnswer: -1089.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1954 and 0.442.\nAnswer: 0.2466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -26.2 * -0.14\nAnswer: 3.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -7*t**6\/10 - 3*t**5\/5 + 69*t**4\/20 + 29*t**3\/5 + 6*t**2\/5 - 12*t\/5 - 39. Determine p so that j(p) = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1574?\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 33, 1474, -1 in decreasing order.\nAnswer: 1474, 33, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*a - 2, -5*g = a + 4*a. Suppose i - 3 = 0, 2*i = 4*k - a*k - 14. What is the lowest common multiple of k and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 150161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*1*-1)\/sqrt(10).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-36)\/9) - (0\/7)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -c + 659 - 663, c = -3*f for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -249473 take away 11.96202424?\nAnswer: -249484.96202424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -26, -18, -6, 10, 30?\n\"Answer: 2*b**2 - 2*b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -7*h**5\/60 + 5*h**4\/8 - 4*h**3 - 15. Let o(l) be the third derivative of d(l). Let s be o(3). Does s = -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 2*c**2 - c - 1. Let x(j) = 5*j**4 + 30*j**3 - 20*j**2 + 15*j + 15. Let m(v) = 15*r(v) + x(v). Let m(l) = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1759640 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 10 = 5*a, -3*o + 16 = -635*a + 634*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -21*k**3 - k**2 - 31*k - 24. Let g(h) = 20*h**3 + h**2 + 27*h + 21. Let s(o) = 7*g(o) + 6*j(o). Calculate s(-2).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26760*a**3*o - 2*a**2*o - 2*a*o + 5365*a wrt a.\nAnswer: -160560*a*o - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1078, 2379, 3902, 5647, 7614, 9803, 12214?\n\"Answer: 111*f**2 + 968*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8567103 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 12. Suppose 0 = -5*a + m + 22, 3*m - 19 = 2*a - j*a. What is the common denominator of (-45)\/22 - a\/(-10) and -63\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 65 = 4*g. Let w = g + 29. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 5*x + 0*x + (-3*x + 2*x + 5*x)*(26 + 7 - 11))*(-x + 0*x - 2 + 4).\nAnswer: -87*x**2 + 174*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyly when four letters picked without replacement from {l: 2, y: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b753b + 5?\nAnswer: b7544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 5:37 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 divided by 53?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1. Let s(i) = -i**2 - i - 6. Let y be 7\/((-7)\/6)*19\/(-57). Give y*j(t) + s(t).\nAnswer: -t**2 - t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*p + 3*p**2 + 79*p - 209*p + 6 + (-2*p + 4*p - 3*p)*(-p + p + 2*p) in the form o*p**2 + b*p + h and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 331 + -281. Let b be (-1 - 39)*1\/(-2). What is the highest common divisor of b and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 562046 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by 282.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/9306822 and -53\/994?\nAnswer: 9306822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**3 + 2*r - 1. What is the remainder when 350 is divided by l(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -3*p**5\/40 - 3*p**4\/8 + p**3 - p + 77. Factor l(o).\nAnswer: -3*o*(o - 1)*(o + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Suppose -4*a - 2*n = -b, a - 3*n - 6 = 4*a. Find the second derivative of -2*p - 4*p + 79*p**3 - 75*p**a wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48972 and 232380?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11085793*b**2 - 22170433*b**2 + 11084636*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1014 - 1212. What are the prime factors of t\/(-22) + -1 - 4\/22?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2. Let y(h) = -6 - 52*h + 16*h + 6. Determine y(l(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1825*c**5*h**2 + c**4*h + 148*c**2*h**2 - 4*c**2*h + h**2 wrt c.\nAnswer: 109500*c**2*h**2 + 24*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 2a95?\nAnswer: 2a92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 852 - 162 = 0. Solve -162 = -12*k - d for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:22 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -524 (base 12) to base 11\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1206c4?\nAnswer: 1206c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(0 + 3 - 2)*(4*h - 6*h + 11*h).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -19, 8, 3, -7 in descending order.\nAnswer: 8, 3, 1, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2726626 (base 8) to base 2\nAnswer: -10111010110110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 656, -1, 0 in ascending order.\nAnswer: -1, 0, 656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5\/3 - 16*k**4\/3 - 112*k**3\/3 + 572*k**2\/3 - 754*k\/3 + 308\/3 = 0.\nAnswer: -7, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h + 17. Let r be c(-4). Let v be (-2)\/(-72) + (0 - (-8)\/36). What is the third biggest value in r, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*r - 321 - 384 + 6*r + 195 - 107 as i*r + w and give w.\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20690 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13701 + 334332?\nAnswer: 320431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1628, 28, 4, -2, 2, 1, 0 in ascending order.\nAnswer: -1628, -2, 0, 1, 2, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 0.05 (c) -287 (d) 0.02 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + q = 15, -5*l - 26 = -2*q - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3 = z, z + 2*p + 101 = 86 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 17664.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1149667484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7728895.\nAnswer: 5, 1545779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i**2 - 26433*i - 52870. Determine v(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 990815700 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a second in milliseconds?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2289*o**2 - 9201*o**2 + 2319*o**2 + 2304*o**2 + 2295*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 421, 849, 1277, 1705, 2133?\nAnswer: 2561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27631 - 27587. What is the lowest common multiple of a and 7192?\nAnswer: 79112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-8)\/(-4))\/(3 + 20)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, 16, 41, 76, 121?\n\"Answer: 5*d**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 5*g - 4*g + (-4 + 1 + 2)*(-2*g - 2*g + 2*g) + 5*g - 2*g - 2*g - 4*g + 2*g + 0*g + (1 - 1 + 3)*(g - 2*g + 3*g).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u. Let t(q) = 6*q**2 - 8*q - 8. Suppose o + 5 = -0*o, -5*o - 21 = 4*v. Let z(y) = y**2 - y - 1. Let p(a) = v*t(a) - 8*z(a). Calculate d(p(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 1674*d = 1672*d + 1 - 3, t - 3 = 3*d for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155246.\nAnswer: 2, 7, 13, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + -4 + (-46)\/(-8))*-316. Suppose 5*i - 16 = z. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -6575*i**8\/168 - 8827*i**5\/60 + 11366*i**2. Find the third derivative of v(p) wrt p.\nAnswer: -789000*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3273514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**7\/168 - c**6\/60 - 3*c**5\/16 - 142*c. Determine j, given that b(j) = 0.\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.925*-73.14.\nAnswer: -67.6545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7975046 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5383 or 0.0712?\nAnswer: 0.0712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3\/2*v + 3\/4 + 3\/4*v**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1205300, 1205303, 1205306, 1205309?\n\"Answer: 3*q + 1205297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11751185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, x: 14}. Give prob of sequence ax.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*p - 9. Calculate the remainder when 42 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1542 + -1456. What is the smallest common multiple of o and 8?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 3*f + f + 122 - 139, 4*f = -4*i + 32 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20\/21 - -32\/35. Let v = -17\/140 - o. Sort -0.5, 10, v in descending order.\nAnswer: 10, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/12)\/((-11)\/22374*-113)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25760 and 33320.\nAnswer: 3065440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -17. Suppose i = q + 12. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9857, -9850, -9843, -9836?\nAnswer: -9829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u**2 - u + 3. Let c be x(0). Suppose n - 141 = -o - c*n, 232 = 2*o - 2*n. Calculate the remainder when o is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378) - -2*sqrt(378))*-1)\/((sqrt(150) - 2*sqrt(150))*4 + sqrt(150)) + 5.\nAnswer: 3*sqrt(7)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + g + 7. Let u be a(3). Let n(f) = f**2 + 8*f - 4. Calculate n(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -63668463 and -63668463 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16624567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 36, -5, -66, -3, 5, 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/5)\/(a*a**6))**(-39) assuming a is positive.\nAnswer: a**(1131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.63 minus 8.242?\nAnswer: -8.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 - 163.3. Let p = n - -12.2789. Round p to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4*h + 54, -140*h - 137*h + 282*h - 66 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 + 369. Suppose -7*m + 1490 = -z. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 l when three letters picked without replacement from liiiicciicickcclkci.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulnlluumuumfnuonu. Give prob of picking 1 n, 1 o, and 2 m.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-26 - -9))\/(-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117 + -5. Let i = -91.3 - a. Let s = i - 31. What is the nearest to -1 in -0.5, s, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1606970 is divided by 386.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -999443*b**2*r - 60782*b*r - 2*b wrt b.\nAnswer: -1998886*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**4\/2 - 22*v**3\/3 - 47*v**2. Let m be n(-5). What is the highest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 6 (c) -5 (d) -4 (e) -456\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 23*t - 30 + 91 - 40 - 33 - t**2. Let b(c) = 6*c**2 - 2*c - 2. Let m be b(2). What is the lowest common multiple of 6 and k(m)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(-6) + (-155)\/93. Let r(v) = v**3 + 8*v**2 + 6*v + 1. Calculate r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6415063 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f + 152 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -693, -1381, -2069, -2757, -3445?\n\"Answer: -688*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 2. Let w(d) = -6*d - 6. Let f(k) = -3*m(k) - w(k). Let z(a) = 30*a**2 - 5*a. Let o(g) = g**2 - g. Let n(r) = 5*o(r) - z(r). Give n(f(l)).\nAnswer: -225*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3 + 12. Suppose 5*i - 40 = -10. Solve -i = -j*z + z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from jdoqjodjqjjqdodgjtqj.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 276 + 48. Let i = q - 477. Is ((-26)\/6)\/(3\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**3)\/((z\/((z*z**(-1\/4)\/z)\/z))\/z))**44\/(z*z**(-8)*z*z*z*z*z\/z**1)**49 assuming z is positive.\nAnswer: z**268","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -164592, -164615, -164646, -164679, -164708, -164727, -164730, -164711?\n\"Answer: b**3 - 10*b**2 - 164583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14238303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 18. Suppose l*s = s - 5. Put -5, -3, s in descending order.\nAnswer: s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 24956*y + 49896.\nAnswer: 4*(y + 2)*(y + 6237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**5 - 45*m**4 + 99*m**3 - 55*m**2 - 6. Let r(a) = 5*a**5 + 45*a**4 - 98*a**3 + 55*a**2 + 7. Let d(s) = 6*r(s) + 7*y(s). Factor d(x).\nAnswer: -5*x**2*(x - 1)**2*(x + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 3\/40*i**5 - 3\/16*i**4 + 3*i**2 + 1\/4*i**3 - 1\/80*i**6 + 0 + 0*i. What is z in m(z) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74645*f**4 + 31*f - 80910913?\nAnswer: 298580*f**3 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5 + 47)*(0*g**3 + g**3 + g**3) + 0*g + g**3 + 0*g.\nAnswer: 113*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -841\/186162 + -1\/426. Is 0 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from wawwwawxwxw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*u + 18. Solve 0*m - 2*m + u = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/(-96)*1\/((-6)\/(-16)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 666311632*l + 103091700?\nAnswer: 666311632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2614*w + 20968. Give g(-8).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Round -2024000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230 or -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(5\/6))**(-2\/41)\/(o**(-24))**31)**33 assuming o is positive.\nAnswer: o**(1006577\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 5:55 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 75 = z, -3*z - 28 = -2*h - 1. Suppose -2*n = -h + 10. Find m, given that 8*m**3 - n*m - 5 + 4*m**3 - 3 + 8*m**2 - 8*m**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86182325*l**4 + 47161114 wrt l.\nAnswer: 344729300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.76726 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8 - 4*b + 5*b - 8. Let c(v) be the first derivative of 2*v**3\/3 - 4. Give l(c(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 121 - 79 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3024 and 2341920?\nAnswer: 21077280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 2990367104.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4 + 70592*f**3 + 311381300*f**2 - 623045000*f.\nAnswer: 4*f*(f - 2)*(f + 8825)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3) + (26754\/(-126))\/(-49). Let n be 16\/3 - (-2)\/(-6). Suppose 0 = n*d - 0 - 15. Solve 0 = b*u + 13 + d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 115*w**4 + w**3 - 114*w**4 + w**3 = 0. What is w?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -13*k + 44. Let o be g(2). Let t(u) = 11*u + 106. Let n be t(o). What is the highest common factor of n and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324975308 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4))\/((-4)\/8). Let a(s) = -s**2 - 29*s - 135. Let o be a(-23). What is the third biggest value in o, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2314 and 1780.\nAnswer: 23140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1754 - -2619. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3617733 millennia?\nAnswer: 4341.2796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/(-9 - 33) - (-1588)\/6. Suppose -34*q = -41 - z. Suppose 0 = f - 2 - 0. Solve f*b = -1 + q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -6)\/(8 + (-49)\/(-7)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14121787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 58. Suppose -4*b - 135 = -2*i - 5, -3*b = -4*i + 105. Let w = b - l. Solve 0 = 4*u - 4*a - 12, 2*u + 2*a + w*a - 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 2c0f?\nAnswer: -2c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-400719)\/(-22)*(-190)\/57*(-1)\/5.\nAnswer: 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 4*o - 10 + 21 - 15. Give w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 14, k: 1}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -372221*a**4 + 372217*a**4 - 12*a - 19*a**3 + a**2 - 29*a**3 in the form n*a**2 + p*a**3 + o + w*a**4 + c*a and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(176) + 0)*-3)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:29 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1885980 = -2*s, -5*s + 983691 + 2788269 = 4*j. Suppose -3*y + j + 197010 = 0. What is y rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.615 - 2.415. Which is the biggest value? (a) 4 (b) 0.3 (c) g (d) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 6*j**2 + 2. Let c be n(-6). What is the units digit of ((-1)\/((-1)\/c))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21b30 (base 12) in base 4?\nAnswer: -22330110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111044 (base 5) to base 14.\nAnswer: -15c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2224754.57 and -197.\nAnswer: -2224951.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k + 5. Let s be d(5). Suppose -2*p + 20 = 2*p. What is the highest common divisor of s and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from heeeeehehhehe. What is prob of sequence hhh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 - (5 + -5)) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -309, -1247, -2811, -5001, -7817, -11259, -15327?\n\"Answer: -313*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.435 - 0.035. Which is the second biggest value? (a) -1\/2 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 4, -112240 in decreasing order.\nAnswer: 4, 1, -2, -112240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -0.5, -770, -1, 0.6, -0.4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**3 + 2*o**3 + 0*o**3 + (-2*o**2 + 2*o**2 - o**2)*(2*o + 4*o - 4*o) + 2*o**3 - 4*o**3 + 0*o**3 to the form p*o + i + f*o**3 + u*o**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2089 - -9908095887.\nAnswer: 9908093798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258460571 to the nearest integer?\nAnswer: 16077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632*x - 89*x - 4887 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -243*r + 251*r. Suppose 14*a = 4*x + r*a + 16, -a + 4 = 5*x. Solve x = 2*v - 12 + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/((64\/(-42))\/(-4))*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 110, 0.5?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4 + 1 - 132\/(-42)). Suppose -o = -m*o. Solve 0 = -o*a + 2*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3.11, 2\/5.\nAnswer: -3.11, -0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1501 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -15155555 equal to -15155555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 11*q + 5. What is p(-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 1. Let h(j) = j - 2. Let y be h(4). Suppose -5*x + 26 = -3*z, 0 = y*z - 5*x + 14 + 10. Let b be o(z). Solve -b*m + 2*m + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*k - 45 = c, 45 = -5*c + 2*k. Let g = -5 - c. Suppose g*h - q - 105 = 0, 4*q + 50 = 2*h - 6. What is the remainder when h is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d**2 - 117*d + 526. Let k(b) = 3*b**2 + 4*b + 1. Let z(g) = -4*k(g) - w(g). What is h in z(h) = 0?\nAnswer: -106, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-7)\/2 + -4 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 * 32263\nAnswer: -806.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 112\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000209 to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/2 and -46\/3115?\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by 2539\nAnswer: -92\/2539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 10*b**2 - 19*b + 85. Let y be ((-2)\/(-2))\/((-713)\/(-2277) - 10\/45). Calculate f(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2695*z - 53 - 71 + 2945*z + 122 to the form s + x*z and give x.\nAnswer: 5640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - y - 4, y + 0 - 8 = -2*n. Solve n*m + 2 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.497 times 0.3\nAnswer: 0.4491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0 + 5\/24*l**4 - l**2 + 0*l + 5\/6*l**3. Is k(6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18*-1*(6 - 35\/6). Solve -2*b = -n*s - 5, -6*b + 5*b = -2*s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -39. Let i = 5534 - 11954. Is 7 a factor of (-3 - (-159)\/q) + i\/(-51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 5*c + 1. Let x be (-1)\/(-2)*(12 + -8). Let s(a) = a**2 + 2*a. Give x*l(u) - 5*s(u).\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 - 2*g + 1. Let k be t(1). Let y(q) = 3 - 11 + 8*q - 5*q**2 + 4*q**k. Let a be y(6). Solve -4 = a*h - c + 6, 4*h - 4*c = -4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -1\/2*q**3 + 0 - 18*q + 0*q**2 - 17\/12*q**4. What is the second derivative of o(f) wrt f?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*w = -3*w + 105, 4*d + 3*w - 437 = 0. Calculate the remainder when d is divided by 27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.5, 3\/4, -0.28?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 4) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 36*t - 163. What is j(22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 365\/35 + 425\/(-175) + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -537 divided by 29\nAnswer: -537\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1346073.08272 and -23?\nAnswer: 1346096.08272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.3 - -24.7. Let z = -0.06 + -0.94. Is z greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**3\/9 + 226*t**2\/9 - 458*t\/9 + 230\/9 = 0.\nAnswer: -115, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0128422 rounded to four decimal places?\nAnswer: -0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/1*3*(-32)\/(-2176)*17.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -2 - (-867 + 853 - (-82 + -2))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 - 193. Let x(j) = -3*j + 5*j + 2 - 4*j. Determine x(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.015, -4, 7, -0.001912?\nAnswer: -0.001912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5822 + 5827. Solve -w*f - 18 = 2*n, 5*f - 2*n = -3*n - 19 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23211 (base 9) to base 15.\nAnswer: 48c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*q**3 + 13*a + 338*q**3 + 89 wrt q.\nAnswer: 6*a*q**2 + 1014*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4840) - 3*sqrt(4840))\/sqrt(8).\nAnswer: -22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 - 93. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p + 26. Let c be q(8). Suppose -5*f = -n + c, -3*f + 8*f = 0. Calculate the lowest common multiple of 4 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmhmmhhhhfhfhfmfmhhm. Give prob of sequence mhff.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1829075039?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5*d + 4, 0 = -4*x + d + 43 - 15. Let p = x - 0. What is the second derivative of -4*m + 6*m**3 + 11*m**3 - p*m**3 wrt m?\nAnswer: 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 + 3 - -69 - (3 + 0 + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 3:01 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.788185 to 1 decimal place.\nAnswer: 89.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797887 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 738*p**2*v*y - 9*p**2 - 2*v*y - 156*v - y + 1 with respect to p.\nAnswer: 1476*p*v*y - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*s - 5*u = 970, 4*s + 4 = -1080*u + 1081*u for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*-1 + 29 + 9. What is the common denominator of y\/16 + 0 + 3 and 27\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3 - 258*f**2 - 80*f + 243936 = 0. Calculate f.\nAnswer: -28, 36, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -244*l - 5. Let r(q) = -5733*q - 117. Determine 117*n(i) - 5*r(i).\nAnswer: 117*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kkkuuuuluukuuuukkk?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - u - 3 = 0, 2*n + 2*u + u + 9 = 0. Suppose -y - 24 = 5*i, n = -2*y + 2*i + 7 + 5. Let r be 0\/(y\/((-1 + 0)*1)). Solve r = -2*p - 0*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**3 - 3*b**2 - 5*b + 3. Let s be m(3). Let p be 13\/3 - 5\/s. Suppose k - 4 = 0, 4 = -p*o - k + 16. Let t(l) = 2*l**2 - l. Give t(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, -3, -5, 2, 96, -2 in ascending order.\nAnswer: -147, -5, -3, -2, 2, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, c: 1}. Give prob of picking 1 f and 1 c.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 80. Suppose -f - 17 = -w, -6*f - 41 = -y*w - f. What is the remainder when 130 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.83 - 5.83. Which is the smallest value? (a) u (b) -0.51 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327 + 0*b**2 - 654 - 4*b**2 + 327.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*w**2 - 131*w**2 + 23 + 20 + 7*w - 2*w - 44.\nAnswer: 36*w**2 + 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from kkkkeeeekeeeekek?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -t + 2. Suppose 4*l = 3*o - 26, -4*o = -l + 3*l - t. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346574 to the power of 1\/2, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -238855 by 6.\nAnswer: -238855\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.058? (a) -3 (b) -4 (c) 0.3 (d) -5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 2:53 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 7*s - 4. Let r be m(-6). Suppose g + 3*c - 21 = -r*g, 4*g = 2*c + 4. Let i be (1 - 0)\/(g\/15). Solve 3*z = 9, -f + i*z = -0*f + 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + ((sqrt(76)\/sqrt(4) + 3)*1 - (2*sqrt(152)*-6)\/sqrt(8))))**2.\nAnswer: -468*sqrt(19) + 28935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 4:51 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2265865 and 440?\nAnswer: 199396120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1942, -3296, -4730, -6238, -7814, -9452, -11146, -12890?\nAnswer: -14678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 720. Calculate the greatest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 153 = 3*v, -2*v - b - 102 = b. Let h = v - -53. Find m, given that 22*m**2 - 2*m**h - 14*m + 12*m - 4*m**3 - 14*m = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1344762 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2. Let y(g) be the third derivative of 0*g**4 + 17*g - 13\/60*g**5 + 0*g**3 + 0 + 2*g**2. What is o(y(k))?\nAnswer: 169*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10*(-2 + -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3.5. Let j = -135.1 + 135. What is the biggest value in j, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/(16\/48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -24. Let w be -1*(-4)\/((-12)\/(-231)). Suppose 4*o + 4 - 12 = 0, 0 = -r + g*o + w. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 811 + 1009. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*a - 67792 = -257*a + 249*a + 534*a for a.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 1, x: 1}. What is prob of picking 1 x and 2 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbccccvccvbccu. Give prob of sequence cuc.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -7. Let r be (2\/6)\/(i\/60). List the prime factors of 2\/r - (-39)\/15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 9:23 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -47*m. Let j(w) be the second derivative of -2*w**3\/3 + 149*w. Give j(f(n)).\nAnswer: 188*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven tenths of a micrometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 1258700*a**2.\nAnswer: -1258700*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:47 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, -524, 11, -4 in descending order.\nAnswer: 11, -3, -4, -15, -524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*2)\/(10\/(-15)). Let x = -8 - t. Let b be ((-45)\/6 + 10)\/((-15)\/(-6)). What is the second biggest value in -1\/4, b, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.05 + -3.85. Let g = n + 5. Let b(u) = u**2 + 253*u - 9119. Let k be b(32). What is the closest to g in -1\/3, 3, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -19\/2 (b) -5 (c) 5 (d) 55\/4 (e) -3 (f) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/((-1)\/12). Let w = -9 - m. Let d be 6\/w - -1 - -2. Which is smaller: d or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94600 and 5375?\nAnswer: 473000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/5 + 79838*d\/5 - 239523\/5 = 0.\nAnswer: -79841, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52110526 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/((-54)\/42) + -7 + -50. Which is smaller: u or -534\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35525240 and 32040?\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*sqrt(176) + sqrt(11))*-6)**2.\nAnswer: 837936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -293+1.1\nAnswer: -291.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 5 - 2 - 23*q**3 in the form n*q**3 + b*q**2 + a*q + d and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*m + 3*j, 0 = 4*m - 3*j - 3 - 5. Let l(d) be the first derivative of 0*d + 2*d**m + 1\/2*d**4 - 2*d**3 + 1. What is c in l(c) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3560635*a**4 + 3*a**2*s + 373693*a*s - 100*a - s wrt a?\nAnswer: -42727620*a**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 190532 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/(33143\/(-5502) - (-12)\/(8\/4))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = -6. What is the lowest common multiple of (12\/126*-24)\/(36\/(-378)) and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 438 and 1890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g**2 + 0*g)*(200*g - 496*g - 832*g - 138*g).\nAnswer: -3798*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002139670352 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 413 + 0.01.\nAnswer: 413.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 166, 249, 332, 415?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -6*q - 15. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 236318989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1314 divided by -1314?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -106615750 and -6382.2.\nAnswer: -106622132.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 2. Let r be z(6). Suppose 4*b + 3*d - 12 = 0, -3*b - 30*d + 32*d - 8 = 0. Let a(t) = 2 + 56*t + b + 5 + 3 - 55*t. Determine a(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/91055?\nAnswer: 2\/91055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/7))**31\/((m**(1\/26)\/m)\/(m**5\/m)) assuming m is positive.\nAnswer: m**(-2321\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1185 and 2686.\nAnswer: 40290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.1 less than 56348531?\nAnswer: 56348375.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221403 - 2010?\nAnswer: -223413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, y: 2, t: 1, b: 1, r: 1}. What is prob of picking 1 u and 1 y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3914 = -5*n - 1529. Is n a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 7. Suppose c*q - 658175 = -5*q. Suppose -2*v - 1268365 - q = 0. What is v rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33020 + 11?\nAnswer: -33003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*h**2 + 3*h - h - 2*h.\nAnswer: 352*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/252 and 5\/5392884.\nAnswer: 16178652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -5, 3, 59.4, -0.0323?\nAnswer: -0.0323","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 61 + 47 + -59\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1951918 and -158.\nAnswer: -159.1951918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/369 and -143\/246.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**5\/60 + u**4\/12 - 2*u**2\/3 + 2*u - 9. Let o(a) be the first derivative of n(a). Suppose o(f) = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173361956 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 0 (c) 4 (d) -0.005 (e) -1\/4 (f) -0.3 (g) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225\/35)\/(52\/546)*((-192)\/(-30))\/(-8).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215 + -225. Let g = 3 - i. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -177*n + 7104. What is z(40)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 5*l + 23 = 0, -y = -9*l + 487 - 548 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -3, 2\/5, 16\/19?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001695264 rounded to 7 decimal places?\nAnswer: 0.0001695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4\/(k*k**3))\/(k*k**2*k*(k**(-5\/6)*k)\/k)*(k\/((k*k*k**(-2\/5))\/k))**(-5\/7)*(k**(-4)\/k*k)\/(k\/k**(-3\/5)) assuming k is positive.\nAnswer: k**(-1901\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 22*b + 149 + 475 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(1\/6)*q)**3 assuming q is positive.\nAnswer: q**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in 4.47, -10, -3\/7, -2\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e6d + 516?\nAnswer: 3383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3035?\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 4:18 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 79\/(-9) + (-6)\/27. Let a(s) be the third derivative of s**4\/24 + 3*s**3\/2 + s**2. Let o be a(v). Is o greater than 2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*w - 40 = 0. Let b be (-3)\/(-12)*w*-2. Solve -b*g + 20 = -2*r - r, -5*r = -5*g + 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.04, 5, -62.73 in descending order.\nAnswer: 5, -0.04, -1\/3, -62.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(1872) - (sqrt(1872) + -2)**2*4) + 3.\nAnswer: -7494 + 204*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 3)*(-1)\/(-1 + -1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i - 86. Calculate q(-11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 4*x**2 + 4*x + 3. Let c be w(5). Let a be (44\/(-12))\/(c\/60). Suppose 3*l - 9 = 0, -2*u - 4 = 4*l - a. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 27) + 16 + -22 + 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -175578085, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.179 - -122.821. Let m = x - 86. Let k = 36.999865 - m. What is k rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 26*r**2. Let s(z) = -32*z + 12*z + 17*z. Give q(s(p)).\nAnswer: 234*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(6\/13)\/z**(-11))**(-39)*(z**(-2)*z**7*z)\/(z**(-1\/3))**(1\/19) assuming z is positive.\nAnswer: z**(-25136\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515810589.\nAnswer: 3, 7, 191, 128599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 10:35 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5156904 is divided by 6312.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 78, 2 in decreasing order.\nAnswer: 78, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 - 4*n**2 - 3*n - 2. Let b be k(-2). What is the common denominator of 823\/(-84) - (-6)\/(-21) and ((-6)\/(-18))\/(b\/618)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/2 - 0 - -2. Let s = 74 - y. Suppose -s = -4*c - c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -452050 + 904103\/2. Factor -s*c**3 - 66 - 45\/2*c**2 - 72*c.\nAnswer: -3*(c + 2)**2*(c + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20521, 20458, 20301, 20008, 19537?\n\"Answer: -7*u**3 - 5*u**2 + u + 20532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 - -0.09. Let j = f + -0.1. Which is the closest to j? (a) 5 (b) -2\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 49 = c. Let v be ((-12)\/10)\/(5\/c). Let r = v + 25. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(76) + 1)**2 + 4 + -3 + (1*sqrt(76) + 1)*-1.\nAnswer: -76 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2968267145544.269889 + -2968270138593. Let f = 2993047 + s. Let v = -1.73 - f. Round v to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*c + 14*c + 204. Suppose 236*f - 219*f = c. What is w in 0*w + 33\/4*w**f + 0 - 1\/4*w**5 - 363\/4*w**3 + 1331\/4*w**2 = 0?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9377811*b - 37610329 wrt b.\nAnswer: 9377811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 7:40 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23196 or -2041217\/88?\nAnswer: -23196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + t**3 + 1)*(4*t + 4*t + t + (2 + 3 - 4)*(-3 + t + 3) - 2*t + t - t).\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.5 - -3. Suppose 6 = -2*j + o, 7*o = 5*o - 4. Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -163 - -443. Let v be -6 + -236*(-7)\/h. Which is the nearest to -1? (a) v (b) 0 (c) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000552108561 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.045 + -3.655. Let z = w + 0.7. Are z and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 12*w**2 - 11*w - 11. Let c(b) = b**2 - b - 1. Let y(z) = -22*c(z) + 2*k(z). Let h(a) = -3*a - 2*a**2 + 3*a. Calculate y(h(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -29. Let k = h + -7.6. Let q = -6 + k. Put -0.3, -5, q in increasing order.\nAnswer: -5, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-2))\/((-11)\/(-11)))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (16 + (-19 - -7))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60999?\nAnswer: 3, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -18. What is the remainder when (5\/10)\/(1\/50) is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -10*p + 30. Suppose -2*w - 8 = -p*y + y, 0 = -2*y - w. What is the second biggest value in y, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-3 - 11) + (-5525)\/(-35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8797, -17600, -26405, -35212?\nAnswer: -44021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -0.01 (c) 0.041 (d) -1 (e) 4 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -950, -2183, -3418, -4655?\n\"Answer: -m**2 - 1230*m + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 6 - (-77 + 52) - (0 - -1 - -63)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4455 (base 9) to base 2\nAnswer: 110011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1257 or 1256?\nAnswer: 1256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 7*n = 2*n - 10, -4*n + 16 = -4*c. Let g(w) = -25*w + 1. Let q be g(c). Suppose -9*j = -527 - q. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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 454459207 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 + 53*j**2 + 24*j - 106. Determine t(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyppyyddydyyyyyy. Give prob of picking 2 p.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34142 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 61 = 21. Solve -1 + 21 = -o*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -8*x**3 + 2*x**2 - 2*x + 2. Let u be f(-2). Suppose -u + 42 = -9*w. Which is the second smallest value? (a) 1\/4 (b) 4\/21 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 1786188?\nAnswer: 714475.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13114430 (base 5) to base 8.\nAnswer: 374525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 149984 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*l - 2 + 38, -3*l + 9 = 0. What are the prime factors of ((-12)\/o)\/(7\/49)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, e: 5, m: 2, k: 3, a: 5}. Give prob of sequence aim.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -690*o + 1781. List the prime factors of r(-15).\nAnswer: 7, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1487, 0.2, -2\/5 in increasing order.\nAnswer: -2\/5, -0.1487, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -2*q + 0 - 1\/6*q**4 + 0*q**2 + 1\/20*q**5 + 0*q**3. What is the third derivative of m(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4581344 by 1952.\nAnswer: -2347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 967312471\/1372 - 705038. Let q = z + 2\/343. Suppose 0 - o**2 - q*o = 0. Calculate o.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(2 + 0 - 1)*(-j + j + j**2)*(-j + 0*j + 5*j)*(-16 - 28*j + 16) to r*j + h*j**3 + n*j**2 + a + q*j**4 and give q.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/10 + 1*(-2)\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 23)*3\/2. Let u = -15 + p. Suppose -6*d + d = -u. Solve 4*m - 5*h + 23 = d*m, 20 = 4*h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300247584 a multiple of 2090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-72)*0 + (-2)\/8. What is the biggest value in 1\/3, -3, -1, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 1097*y - 119 = -1102*y, 2*d - 4*y = 50 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118455609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 852826.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t + 30. Give z(-12).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(((-162)\/(-12))\/1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -315, -480, -645, -810?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by (-474 + -6)\/(-5) + 3?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194223229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 8*f**2 + 8*f - 5. Let p be i(7). Solve -5*o = -p*u + 27, -o + 3*u - 23 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137603211431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110645848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.39, -0.4, 0.23, 0, -126 in increasing order.\nAnswer: -126, -0.4, 0, 0.23, 0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*j - 106*j + 172*j - 352 = 0 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 + 8*a**3 + 11*a**2 - 2*a**2.\nAnswer: 8*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 75 = g. Let n be 39 + 1 + -5 + 3. Let s = g + n. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5911125503\/1349 - 4381857. Let x = z + -44\/71. What is the third smallest value in x, 0, -1, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4056, 4023, 3970, 3891, 3780, 3631?\nAnswer: 3438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x - 11960 = -x. Let k = 520 - x. Solve -5*m - 2*f + 10 = 0, k = -3*m + 3*f - 7*f + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 + -75. Solve -10 = 2*k + w + 3*w, -5 = k - x*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*a - 9 - 11 = 0, -20 = 5*a. Let q(t) = t + 1. Let f = 0 + 2. Let j be q(f). Solve b = s - j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 8*r**2 - 5*r - 31. Let d be t(-8). Let p be (d\/(-4))\/(48\/(-9408)). Calculate the greatest common factor of p and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1767, -3531, -5295, -7059?\nAnswer: -8823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 + (-31 - -13) + 4 + 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*u = 2, 0 = -r - 3*u - 2 - 2. Let m = 265702 - 265640. What is the greatest common factor of r and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -47, -3, -0.2, -13, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, a: 3, x: 3, c: 3}. What is prob of picking 1 c and 2 a?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 - -203.8. Let w be ((-6)\/(-9))\/(4\/6). What is the closest to -1\/4 in y, w, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 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: Let u(k) = 8123*k**2 + 24. Let f(z) = -113720*z**2 - 340. What is 6*f(d) + 85*u(d)?\nAnswer: 8135*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 7. Let f = n + 3.4. Let c = -311 - -315. Sort c, f, -1\/6, 1\/7 in ascending order.\nAnswer: -1\/6, 1\/7, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5\/3 (b) -5\/44 (c) -665\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 5)*(11 - 10). Let o(y) be the first derivative of -9\/2*y**2 - 8\/3*y**3 + 1\/4*y**4 - s - 3*y. What is o(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 39, 5 in ascending order.\nAnswer: -5, 1, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6245041.\nAnswer: 11, 89, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80.72 not equal to -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 117*18744\/31382 - ((-12)\/(-34))\/(-3)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f**2 - 100*f + 6. Let v be u(-9). Solve 0 = v*d + 20 + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*b + 5*n + 5, -4*b + 120 = 5*n. What is the remainder when b is divided by (26\/(-4))\/((-2)\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169924 or -169915?\nAnswer: -169924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 3*s + 4. Let g(c) = c + 1. Suppose 0 = -0*f + 5*f - 60. Suppose -2*m = m - f. Let k = 5 - 6. Determine k*d(o) + m*g(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 3, -4*x - 74*h = -77*h + 39 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*p**2 + 79 - p**2 - 80 - p**4 - 2*p to the form m*p**4 + c*p + l + n*p**3 + x*p**2 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 176 = 2*x + 2*w, 2*x + 3*w - 92 = 0. Calculate the remainder when x is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 152 = 40 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 4*k**2 - 8*k - 3. Let u be h(-5). Let s = -80 - u. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007437.\nAnswer: 17, 19, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 211 = -73 - 15 - 43 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 6*t + 5. Suppose -t*q + 11 = -14. Let a(i) = 3*i**2 - 2. Let g be a(2). Solve 5 = -g*b + q*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4764694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*n + 25. Sort n, 4, 0.\nAnswer: 0, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 4 - 14*i + 2.\nAnswer: -14*i - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/13 + 184560*a\/13 + 369112\/13.\nAnswer: 2*(a + 2)*(a + 92278)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - -16. Suppose -2*v = -p - 87. Suppose -v = -4*k - 0*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -356, -701, -1060, -1439, -1844, -2281, -2756?\n\"Answer: -k**3 - k**2 - 335*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 4 = -29101. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (522\/145)\/((-2)\/(-5)). Let u be 6\/r*279\/6. Suppose 2*p = 3*w + 4*p - 21, 5*w - u = -2*p. Calculate the smallest common multiple of 8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596547.7 centuries in years?\nAnswer: 59654770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 3:34 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d + 1. Let k be b(-2). Let g(n) = n - 4. Let l(z) = 3. Let c(o) = k*g(o) + 4*l(o). What is the remainder when c(4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*k = -233*k + 8189 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15841 and 4088.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4521875438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.58224ml to litres.\nAnswer: 0.08558224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 115900510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 0.35. Let z = 0.39 + o. Let s = z - 0.51. Which is the nearest to -2\/5? (a) s (b) -2\/9 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -249*n + 2. Let l be -3*((-10)\/6 - -2). Is q(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3 = 3*p, -2*c - 2*p + 8 = 0. Suppose 2*f + 20 = c*k, -41 - 4 = -4*k - f. Calculate the remainder when 28 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2033 divided by 19?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/3*(-2)\/4. Let x be a + (-1)\/3 - (-368)\/69. Solve -1 = -x*s + 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (32\/(-4) + 16041)\/(2 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**3 - 5*y**2 + 2*y - 7. Let c(w) = 2*w**3 + 2*w**2 - w + 3. Calculate 5*c(d) + 2*z(d).\nAnswer: 4*d**3 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 1, r: 4, h: 2}. Give prob of sequence rh.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 31*s + 68. Let o be u(-33). Let r(p) = 23*p + 2. Let z be r(-2). What are the prime factors of 6*(z\/(-6) - o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 23*w**2 + 17. Suppose -135 = -4*p + y, 2*p + 2*y + 9 - 79 = 0. Let x(f) = -4*f**2 - 3. Give p*x(a) + 6*j(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 3*y - 50, 205*y - 200*y + 12 = o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29 - 1\/2*-2. Let h = v + -17. Solve -h + 3 = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**6\/6 - 175*m**4\/4 + 109*m**3\/3 + 172. What is the third derivative of s(g) wrt g?\nAnswer: -60*g**2 - 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11239 and 0.4.\nAnswer: 4495.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -11 - 1 - -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 206 + -81. Let d be (-2)\/(2\/k)*-66400. What is d rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 2*t**2 + 3*t. Let b(h) = -3*h**3 - 3*h**2 - 5*h. Suppose -5*w + 25 = 4*i, -i + 4*w - 29 = -6*i. Calculate i*v(m) + 3*b(m).\nAnswer: m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**1)*x*x)**30*x**(1\/4)*x*x**(2\/13)\/x*(x*x**(-1)*x**(1\/2))**(3\/2) assuming x is positive.\nAnswer: x**(795\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/133)\/((-72)\/896)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bc (base 13) in base 9?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*c + 1. Let k be (-2 - (c - 4))*-2. Let x be 2\/(3\/(-18)*k). Solve 4*y - 14 - x = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 7*a**2 + 101*a + 44. Calculate the remainder when f(6) is divided by 83.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(1584))**2 + (sqrt(1100) - (sqrt(1100) - (1 + sqrt(1100)))*-5).\nAnswer: 10*sqrt(11) + 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179\/2 + -89. Find k such that 1\/2*k + 0 - 1\/2*k**4 - i*k**3 + 1\/2*k**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-109 - -71 - -40) + (22 - -8)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (240*c**2 + 1445*c**2 + 1689*c**2)*(-11 + 11 - 4*c) as a*c + x*c**2 + h + k*c**3 and give k.\nAnswer: -13496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-72)\/612*-289\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.1 - -5. Which is greater: h or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5629908 and -2053759.\nAnswer: -2053758.4370092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00022321984 rounded to 6 decimal places?\nAnswer: 0.000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 852.9 + -853. Suppose 8*d + 108 = 2*d. Let n = d - -17. Sort n, -0.5, f in descending order.\nAnswer: f, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06467277 to 3 decimal places.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 5) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-49)*(294294\/504)\/143\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299735.6 micrometers to kilometers.\nAnswer: 0.0002997356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3 - 8 = g, -p + 318*g - 150*g = 170*g - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - ((-23 + 8 - -29) + 6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*v - 2425 = 424*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 - -71) + 1 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(6)\/sqrt(3)*-4) - (-1*sqrt(243) - sqrt(243) - (sqrt(768) - sqrt(3))))**2.\nAnswer: 51483\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + x - 25, 1589*x + 64 = 1593*x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-17) + (-1914)\/(-493). Suppose -a = -u - 0 - 5, -u = -p*a + 8. Which is greater: -12\/83 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:24 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -3, 0.19, -2\/49, 2\/19?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 2 - 2)*(0*g + 0*g - g**2) - 3*g**3 - 2*g**3 - 3*g**3 + 973 + 43*g**3 - 973 to b*g**2 + i*g + u + z*g**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06989 - -0.02403. Let u = -0.045 - c. Round u to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 12, 5, -4, 4 in decreasing order.\nAnswer: 12, 5, 4, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-492)\/1804)\/(336\/(-1408))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111.173 - 0.173. Let a = 111.03 - z. Sort 0.3, 5, a, -3.\nAnswer: -3, a, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142212872 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 222*j**3 - 263*j**2 wrt j?\nAnswer: 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is b8bab (base 12) in base 3?\nAnswer: 110101012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 352813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 126437 (base 9) to base 2\nAnswer: 10010110001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58063*j - 58060*j = -s - 7, -2*j + 10 = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 170 = -3*d - 161, 2*a - 2 = -2*d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + 0*t - 2*t - 2*t + 4*t - t + (t + 2*t - 2*t)*(35007 - 61337 + 33198).\nAnswer: 6870*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -49*a**2 + 10*a - 1586. Let v(u) = -17*u**2 + 4*u - 529. Let q(w) = 4*d(w) - 11*v(w). What is the derivative of q(h) wrt h?\nAnswer: -18*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -44. Let i be (6\/(-8))\/((-45)\/r). Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 2, -4, 3.\nAnswer: -6, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j + 19*j - 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjcwcucwucccccuuwss. Give prob of sequence us.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoxx when four letters picked without replacement from {o: 1, x: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -501252 divided by -1.\nAnswer: 501252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31065229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 12. What is the second biggest value in 3, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2. Let h be 2 - -1 - (11 + 9). Let l(j) = 9*j**2. What is h*a(c) + 6*l(c)?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.62559ug in grams?\nAnswer: 0.00007562559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 221 + 4?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 131*r + 74395. Determine w(215).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(65) + sqrt(65) + (sqrt(65) + -6*1*sqrt(65) - sqrt(65)))*4)\/(6*(sqrt(5) + sqrt(180)*-6 + 5*sqrt(25)\/sqrt(5))).\nAnswer: 17*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523*s**2 + 263*s**2 + 259*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from htththtthtt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 = -2*t, 5*k - 5*t + 6 = -9*t. Let y(l) be the first derivative of -3 + 3\/2*l**k - 4*l. What is the derivative of y(c) wrt c?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 d when four letters picked without replacement from adddaaddddadadaa.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 152871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/(-28))\/(3\/(-1 + -26)). Let z(f) = 4*f**2 + f**2 - 4*f**2 - 10*f + 21. Let h be z(i). Solve s = 4*s - h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 220*w - 1346. Give b(6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 2, w: 1, b: 1, i: 2, o: 1}. Give prob of sequence ibs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*r - 7. Let l be 3 - (3 + -5 - (3 - r)). Solve 0 = -2*x - 2*x - 4*v, -21 = l*x - 3*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*f**3*g**3 - 5*f**3*g**2 - 51892*f**3 + 4*f**2*g**3 + 61*f**2*g**2 - 3*f*g**3 - 5*g**2 - 22*g wrt f?\nAnswer: -54*g**3 - 30*g**2 - 311352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8801860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 = -52*j - 97 - 363 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w - 2*j - 3*j = -258, -40 = -4*w - 0*j + 4*j for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -660334 + 2607607?\nAnswer: 1947273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10 (b) 1 (c) -3 (d) -0.053 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, k: 3, p: 4}. Give prob of sequence hkp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 - 14 = -5*s. Suppose 2*r = 5*q + 4*r + 4, 5*r + 10 = 4*q. Suppose q*v - s = -5*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 25 = 2*s. Suppose -5*t + 0 - s = 0. Calculate the lowest common multiple of 6 and t - -6 - 12\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-10))\/(2\/(-8340)). Let m be -2*(-3)\/2 + -671. Let c = l + m. Round c to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 5*w**2 - 7*w - 3. Let s be g(-6). Let x(m) = -m**3 + 9*m**2 - m - 1. Let z be x(7). Suppose 0 = -0*r - s*r + z. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301767.\nAnswer: 3, 17, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908117 is divided by 423.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 88, 158, 248, 364, 512, 698, 928?\nAnswer: 1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1154\/74477?\nAnswer: 1154\/74477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*p**3 + 120*p**3 - 180*p**3 + (4*p - 4*p - p**2)*(1 - 1 + 2*p) + (-p**3 + 3*p**2 - 3*p**2)*(-1 - 2 + 2))*(5*p - p - 3*p).\nAnswer: -140*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 73 = s + 14*d, s + 5 - 28 = 4*d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 16*j - 2. Let x(h) = -2*h**3 - 30*h - 5. Let u(l) = -11*s(l) + 6*x(l). Let p be u(-2). Calculate the highest common factor of 80 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162*(-90)\/(-6480))\/(17\/16).\nAnswer: -36\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-5))\/(4\/(-6))*(-5)\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -2 (c) -0.179 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4) - (-15)\/30 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 b when three letters picked without replacement from {b: 2, d: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0295596 and 112.\nAnswer: -3.3106752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 121 = -25. Suppose -3*q + 2*q + 3*x + m = 0, 3*x = 3*q - 60. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + (12 - -18 - 11) - (-10 - -1 - 0).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - q**3 - 3*q**3)*(0 + 4 - 1) + (-3*q + q + 3*q)*(5*q**2 - 4*q**2 + 4*q**2).\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 74*n + 679. Calculate w(-11).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18083 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 12. Let p be i(-7). What is the greatest common factor of 4 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12ecb - -12?\nAnswer: -12eb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17695?\nAnswer: 5, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*a = 8, -2*a + 214 = 2*k. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48.95 + -48.75. Let a = -0.09 + 9.09. Sort 2, a, s, 4.\nAnswer: s, 2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(0 - (-1)\/6). Let v = -5235 - -5235. Let t = 0.2 + -0.1. Which is the closest to t? (a) v (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 4*m**2 + 4*m**2)*((-3*m - m + 3*m)*(4 - 2 + 0) + m + 2 - 2 - 7*m - 6*m + 3*m).\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010110100010111 (base 2) in base 10?\nAnswer: 77079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 677509794 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 != -3.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 + 1)*(1673 - 157*k - 834 - 839).\nAnswer: 1884*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 10 = -10, -5*o = -5*x + 97 + 8 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -3*i + 292. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 75 - (21\/(-7) - -9). Suppose -7*j = -288 - g. What are the prime factors of j?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*a**2 + 143975*a - 71985 = 0. What is a?\nAnswer: 1\/2, 14397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 313181338, 626362678, 939544020, 1252725364, 1565906710, 1879088058, 2192269408?\n\"Answer: k**2 + 313181337*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 6 + 3*o - 10 - 10.\nAnswer: 3*o + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 5*b + 5*b)*(-8 - 11*b + 8).\nAnswer: -66*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64620 and 4770.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473799 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8640) - (sqrt(8640)*3 + sqrt(8640) + sqrt(8640) - sqrt(8640)))\/sqrt(12))**2 + 2.\nAnswer: 6482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -12*a + 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/sqrt(6) + 2 + (sqrt(11) + sqrt(55)\/sqrt(5))**2*2 - (1*(-4 + sqrt(99)\/(sqrt(36)\/sqrt(4))))**2.\nAnswer: 9*sqrt(11) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-nine quarters of a gram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*m - 35*m + 48*m = 1508240. What are the prime factors of m?\nAnswer: 17, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/27 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12 - -2*1\/4*2. Let p = -48 - -49. Let o be p*(-6)\/(18\/21). Are i and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*h + 22. Suppose -2*c + 28 = -4*i, 2*c = 2*i + 10 + h. Let n = i + 6. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4698*a*c - 18*a + 3*c + 2766834 wrt a?\nAnswer: 4698*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1565 - 649 - 784 + 3855*s**3 + 5*s wrt s?\nAnswer: 23130*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 - -0.7. Let t = -2\/5 - -4\/5. Which is the third biggest value? (a) 5 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103737 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 444381, 1777491, 3999331, 7109901?\nAnswer: 11109201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1636053mg?\nAnswer: 0.0000000001636053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 699556248 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*b - 5 - 20, 5 = b + 5*r. What are the prime factors of b\/(3*1\/99)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*j + 25, x - 4*j - 14 = -x. Suppose -3*d = -15 - x. Calculate the least common multiple of d and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333 (base 5) in base 6?\nAnswer: -1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10*((-1464)\/(-20) + -1 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x - 2. Let q be y(-4). Let l = q + 37\/2. Put 0.1, l, 5\/4 in decreasing order.\nAnswer: 5\/4, l, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 8. Let i(m) = -m**3 - 6*m**2 - 2*m - 7. What is the units digit of i(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 10649, 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, j: 1, u: 3}. Give prob of sequence uj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -40. Let l(x) = -1 - 135*x**3 - 134*x**3 + x**2 + x**2 - 25*x**3. Is 59 a factor of l(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34897 - -34909. Solve -l - 15 = -u*s + 9*s, 2*s = 2*l + 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f**3 - 2*f**2 + 1. Suppose -6*l + l + 5*j = 20, l + 2*j + 19 = 0. Let q(k) = 11*k**3 + 5*k**2 - 2. Give l*d(p) - 4*q(p).\nAnswer: p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/12 and 103\/2429385.\nAnswer: 9717540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 773495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) -0.2 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.82 - -0.18. Let n = y + -22.64. Let m = n + -0.35999916. What is m rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/((-9 - -5)*(-4)\/16). Let l(k) = k**2 + x*k - 17*k - 19*k - 36. List the prime factors of l(10).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29794 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (sqrt(405) + -1*sqrt(405) + sqrt(405) + -4 + -3)**2 + -4.\nAnswer: -126*sqrt(5) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:40 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15.4 times -0.2\nAnswer: -3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1273 - -16856. List the prime factors of v.\nAnswer: 3, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -417542543.21627 - -409571903.215. Let o = 7970793 + k. Let i = o - 153. What is i rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71925 + -71891. Let j be (-4)\/4 - 4\/2. Sort i, j, -2 in decreasing order.\nAnswer: i, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - ((6 - -3) + -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*j - 1110 = 8*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1966 and (-38)\/260*-27 + (-70)\/(-455).\nAnswer: 9830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/60*17220\/(-3608))\/(15\/2).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24551361 + 1?\nAnswer: 24551362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -8, 1\/9, -0.28, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -48, -1, -2\/5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1038*k**3 - 208*k**3 - 240*k**3 - 392*k**3.\nAnswer: 198*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842*p - 843*p = -15*g + 44, -5*p - 5*g + 20 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 20*d**2 - 45*d - 4. Let o be u(-22). What is the greatest common factor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 5*y. Let n be r(4). Suppose -n*t + 228 = 5*x, 5*t - 2*x = -0*x + 285. Calculate the highest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50a62 (base 12) to base 3\nAnswer: -12100022002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14*w**2 - 2174*w + 2780. What is q(154)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:20 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1798283, -7193136, -16184557, -28772546, -44957103, -64738228, -88115921?\n\"Answer: -1798284*h**2 - h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 4 (c) -20 (d) 0.032\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from eereqeeeeyrryer?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 9:09 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 59. Is o less than or equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i + 21*i = 10. Let w be 1\/4 + (-94)\/(-8). Let x = 31 - w. What is the remainder when x is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11 (b) -1091 (c) 4 (d) -2 (e) 0.6 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 931*v**2 - 1 - 932*v**2 + 1. Let c(m) = -2*m - 1. What is d(c(f))?\nAnswer: -4*f**2 - 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1736.2 - -6.1929087?\nAnswer: -1730.0070913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 327808022?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 429\/640 - 9\/128. Which is the third smallest value? (a) 0.5 (b) -5 (c) v (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -1513*o**5\/60 + 2075*o**3\/6 - 736*o**2. Differentiate n(l) wrt l.\nAnswer: -3026*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/60 - p**5\/15 + p**4\/12 + 116*p**2. Factor o(n).\nAnswer: 2*n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 1:58 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 6 + 0 + (49 - 8) + 0 + -7?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 35. Solve 0 = -5*w + 24 - n for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.23 + 1.3. Let w = -0.23 - r. Which is the second biggest value? (a) -4 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3081.3 and -104117267.61.\nAnswer: -104120348.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 + 4*s. Let w be c(-2). What is the greatest common divisor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/6*12\/9. What are the prime factors of -2*(-4 - (-5)\/k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 1, -78, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62123 rounded to the nearest 100?\nAnswer: 62100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + 6)*(14\/(-4) + 3). Put -4, g, -3, -111 in ascending order.\nAnswer: -111, -4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 6:04 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1029 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: Suppose 0 = f + 3*f. Suppose -2*b - 2 + 6 = f. Suppose -16 = -2*t + 2*w + 16, 0 = -b*t - 2*w + 32. What is the greatest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 3*u + 6*u + (-5*u + 2*u + 4*u)*(-3 + 1 + 0))*(-4 + 4*u + 4 + 2) to q*u + o*u**2 + l and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/15 + 17\/(1275\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69608773.\nAnswer: 13, 167, 32063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 434 (b) -1\/4 (c) 1337\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 276 and 60.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2*g = -24 + 10, 25 = -2*d + 5*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4 - 6 + (0 + 1 + 0)*(-5 + 5 + 9))*(-3*v + v + 0*v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3116, 6485, 9858, 13235?\n\"Answer: 2*s**2 + 3363*s - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131.94 + -0.06. Let n = -132.5 - f. Let k be (-2 - 10\/(-4))\/(-4). Which is the nearest to -3? (a) k (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30b6c + 79d?\nAnswer: -303ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/3 (b) 0.1 (c) 2\/37 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -690777100329 from 82.\nAnswer: 690777100411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 83\/2. Let o(b) be the first derivative of 1 - w*b**2 + 0*b. Let x(m) = -2*m**2. Give o(x(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*x - 20 = 0, -d - 2*x + 10 = -6*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4*(3 + -4))\/(-1). Suppose r*x = -15 + 51. Calculate the greatest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 59 + 71 = 0. Suppose -8*a - 50 = -y*a. What is the smallest common multiple of a and 65?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-13 + 232\/24). Factor 0*d + 0 - 1\/6*d**4 - 1\/3*d**z - 1\/6*d**2.\nAnswer: -d**2*(d + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/32 and -103\/3160?\nAnswer: 12640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -3*n - 0*n. Let y = n + 29. Find the first derivative of 5*o**y + 1 + 0*o**2 - 9 wrt o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, 47, 105, 187?\n\"Answer: 12*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3053670 divided by -5\nAnswer: -610734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y*((y\/(y\/y**(3\/8)))\/y)\/y)\/y)*y*y)\/(y*y**(-4))*(y\/(y**1*y))**(3\/14) assuming y is positive.\nAnswer: y**(471\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 572426072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 307 = 307 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = -t, 2*i = 4*t - 4. Solve -3*a + i = 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w**5 - 6*w**3 + 5*w**2 + 1. Let t(p) = -p**2. Let l = -336 - -334. Let r(n) = l*t(n) - x(n). Find the third derivative of r(v) wrt v.\nAnswer: 360*v**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*s - 34399 = 264*s + 84*s + 8063 for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/sqrt(5)*5)\/sqrt(4) + 2*sqrt(56)\/sqrt(7))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 10 = 2*u, u - 12*d = -7*d + 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-4))**(1\/27)\/(j\/j**8*j**8\/j))**(8\/9) assuming j is positive.\nAnswer: j**(-8\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1533? (a) 3\/1256 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6365357 divided by 15\nAnswer: 6365357\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from {u: 2, h: 5, p: 2, i: 8}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 44 = -11322*u + 11327*u, -3*r = 4*u + 38 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w + w)*(0*w + 0*w + 2*w)*(-w - 2*w + 6*w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - y = 2*y + 41, 108 = 3*g - 4*y. Suppose m = 6*m - 5*z - 60, m + 3*z = g. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 6*x**2 + 2*x + 7. Let b be d(5). Let v(z) = 239*z + 12. Let q be v(b). Round q to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 6:49 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 152*q**2\/3 - 1975*q\/3 + 1250\/3.\nAnswer: -(q - 25)**2*(3*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 11:44 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 6:44 AM?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1414124401 - 1?\nAnswer: -1414124402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 430 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 743 (base 16) to base 8\nAnswer: 3503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 45. Calculate the greatest common factor of 51 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - (-387)\/45)*(-2127355)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12, 13, 14, 15, 16?\n\"Answer: c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 375 - 403 = 3*t, 2*t + 27 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p + 14 - 7*p**2 + 20 + 1 + 9*p - p**3. Calculate the remainder when (-152)\/(-3) + 2\/(-3) is divided by i(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 x when three letters picked without replacement from {h: 2, c: 1, i: 2, x: 2, l: 1, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6812 + 648?\nAnswer: 735a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3916*q**3 - 5*q + 210*q**2 - 3915*q**3 + 7*q)*(0*q + 0*q + q).\nAnswer: q**4 + 210*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**9*x)\/(x*((x**(2\/11)\/x*x)\/x*x)\/x))**(2\/5)\/(x**(-7)*x*x\/x**(2\/5)*(x*(x*x**(2\/5))\/x*x)**(2\/41)) assuming x is positive.\nAnswer: x**(20769\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 6*i**2 - 13*i - 7. Is z(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - 22000?\nAnswer: -21544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 4*f - 13*f)*(73 + 166 + 89 + 37 - 150).\nAnswer: -3010*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 8118, 2\/3, -64, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2\/9, -35, 20075, -2, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16289 divided by 570.\nAnswer: -16289\/570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10686, -21480, -32514, -43908, -55782, -68256?\n\"Answer: -20*s**3 - 10654*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6921)\/(-24608)*4\/(-3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*j + 12 = 41*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10063 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1426, 3604, 6320, 9574, 13366, 17696, 22564?\n\"Answer: 269*b**2 + 1371*b - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(4 + (-20)\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4308321.091 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 12. Let n be b(-11). What is the highest common factor of 20 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.2, -4\/5, -346 in decreasing order.\nAnswer: -0.2, -0.5, -4\/5, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*k - 537*k = 1347*k - 47232 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 1)*(-2 + 2 + 3*n)*(59*n - n**2 - 59*n) in the form k*n**2 + t + o*n**3 + l*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 3*y**3 + 0*y**3)*(2 - 2 - 2*y) - y**4 - y**4 + 0*y**4.\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -14. Which is smaller: -12 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 6:53 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7336, 14967, 22598, 30229, 37860, 45491?\n\"Answer: 7631*k - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(539) + sqrt(539) + 0 + sqrt(539) + 5)*-3.\nAnswer: 45 + 189*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 20 = h - 4*w, 2*h + 20 = -4*w. Suppose 3 = -4*z + 43. Let c(f) = f - 11. Let b be c(z). Which is bigger: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1. Let g(i) = -i. Let w(n) = 2*n + 5. Let o(q) = -3*g(q) - w(q). Let l(s) = -s + 2. Let m be l(4). Calculate m*o(f) - 10*r(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**6 - 127098745*j**3 - 2*j**2 + 18975124*j.\nAnswer: 240*j**3 - 762592470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 40048.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 1. Let f be a(-6). Suppose -f*w = -3*m - m + 286, w = 4*m - 294. Calculate the remainder when m is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*l - l + 5*r, l + 5 = -4*r. Let y(q) = 2*q + 3. Let h be y(l). Calculate the lowest common multiple of 7 and (-3)\/(-6)*h*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 726*r + 725*r, -3*i = -4*r - 9. Let u = 49\/26 + -18\/13. Which is the closest to i? (a) -2 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4 + 94*l**3 + 2*l + l**2 + 4*l**2 - 91*l**3 - l**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 4489 + 11803 = 0. Sort 4, o, -5, 2 in decreasing order.\nAnswer: 4, 2, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f + 4*m, f + 3 = m + 8. Is (-18440)\/(-25) + (f - 3\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -38. Let n(q) = -4*q**3 + q**2 - q. What is n(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130743 - -203383. Round x to the nearest one thousand.\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 + 60*y**2 - 205*y + 210.\nAnswer: -5*(y - 7)*(y - 3)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmml when four letters picked without replacement from lbbbmmblmmmlm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2, 3*p + 3*q - 65 = 88. Suppose -3*b - 37 = p. Calculate the remainder when (0 - (1 + b)) + -3 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 687*a**3 - 42*a - 14016. Let x(y) = -468*y**3 + 28*y + 9344. Let d(g) = -5*n(g) - 7*x(g). What is the derivative of d(b) wrt b?\nAnswer: -477*b**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 3) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41008 = 14*m + 41204 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**3\/2 - 4*w. Let o = 6 - 5. Let y be g(o). Solve 3*i - c - 8 = 0, 4*i - 1 - 1 = -y*c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 223 - -23. List the prime factors of k.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from {h: 3, o: 5, a: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u - 14. Let l be 3\/u + 22\/28. Factor 0 + 8\/7*s**4 + 2\/7*s + l*s**5 + 12\/7*s**3 + 8\/7*s**2.\nAnswer: 2*s*(s + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*(-2)\/330)\/(25\/(-625)).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49\/66 + 13\/22. Let d(y) = -y + 5. Let v be d(4). Which is the nearest to v? (a) -4 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -0.036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197672.145949918 - 197832.345942. Let y = r + 160.2. What is y rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9513239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1481176 and 408.\nAnswer: 4443528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21916 divided by 4.\nAnswer: 5479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-47684)\/(-56)*(-4)\/(-2)?\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 2*p**2 - 12*p + 64. Let w be n(0). Solve 5*m = -79 + w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (655 - -32)\/(2 + 1 + 0) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5630803252 rounded to the nearest one million?\nAnswer: -5631000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 3 = 3*d - 16, d = 3*k - 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132426785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:29 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 8 = 0, -3*v + 7*p + 256 = 3*p. Suppose 5*d - v = -0*d. Calculate the smallest common multiple of 18\/(1\/(4\/6)) and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7201*o**5 + 1453*o**2 - 48*o + 2?\nAnswer: 432060*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001072716 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, v: 6, i: 2}. What is prob of sequence zvz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19 (b) -0.3 (c) 5.7339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8\/63 - -851\/252. Is y at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31 - 14*g**3 + 31 + (2*g + 1 + 4 - 6)*(-9*g**2 + 5*g**2 - 5*g**2).\nAnswer: -32*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3263851458 to the nearest integer?\nAnswer: 57130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -23*a - 90. Let v be r(-4). Suppose -v*f = 5*c + 182883035 + 28616973, -4*f + 211499984 = -5*c. Round c to the nearest one million.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.45 + -0.05. Let k = -1153.61 + 1153.61. What is the closest to k in 9, 2\/9, u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b + 26. Let d be q(4). Let t(o) = -5*o - 2. Let r be t(-2). Let g = r - d. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3984)\/(-208) + -19 - (-724)\/26 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*a**2 + 59*a**2 - 6*a + 6*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7629, 15256, 22881, 30504, 38125, 45744, 53361?\n\"Answer: -h**2 + 7630*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 r, and 1 q when three letters picked without replacement from {a: 1, y: 1, z: 1, r: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/4)\/1 + 2. Let i = -0.5 - 5.2. Let l = i - -6. What is the closest to d in -5, 1\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1128\/55 less than 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + sqrt(11)) + 0.\nAnswer: -2*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/(-4) + (-6)\/24. Suppose -d - 4*o = -62, -u*d - 3*o = d - 287. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13870753 a multiple of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1213, 0.3, -33\/8?\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5665, -11541, -17417, -23293, -29169?\n\"Answer: -5876*o + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27957 and 1?\nAnswer: 27957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*w - 92 + 12 - 844 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-234)\/312)\/(6*8\/(-256)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - z + 0*z)*(2 + 0 + 0) + 2*z + 3*z - 3*z + (1 - 2 + 2)*(5*z - z - 5*z) + (-2*z - 2*z + 2*z)*(0 + 0 - 1)*(2 + 0 - 1) in the form k*z + n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12606 (base 9) to base 14.\nAnswer: -315d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2128, 4214, 6360, 8560, 10808, 13098, 15424?\n\"Answer: -p**3 + 36*p**2 + 1985*p + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25582 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ollozz. What is prob of picking 2 z and 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(1\/(-3)*39\/(-13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 + -14 - -37) + 52\/2. Solve 0 = -67*b - 98 - n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**7\/168 + u**6\/72 + 41*u**3\/3 - u - 43. Let x(z) be the third derivative of i(z). Factor x(o).\nAnswer: 5*o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 3:25 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y. Suppose -3*m + 8 - 17 = 5*u, -5*m - 40 = 0. Let z(j) be the second derivative of 0*j**2 + 7\/12*j**4 - 38*j + 0*j**u + 0. What is g(z(w))?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 8 = -3*v - 4*z, -4*v = 2*z - 6. Suppose -v*m + 12*m = 704. Does 19 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -4 - -10 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -182901, -182896, -182889, -182880?\n\"Answer: u**2 + 2*u - 182904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 5*i - 3, 4*i + 0*y = y - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 196\/63 + 4\/(-36). Suppose k*h - 11138 + 1385 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:13 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t**2 + 6*t + 8. Let x(a) = -7*a**2 - 5*a - 7. Suppose m + 8 = -2. Let f = m - -4. Let w = 12 - 19. What is f*o(u) + w*x(u)?\nAnswer: u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((75\/(-180))\/((-2)\/16)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*w**5 + w**3 + w**2 + 51*w wrt w.\nAnswer: -1560*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 2*o**2 + 2*o - 1. Let m be j(2). Solve 0 = -7*n + m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 762 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4 = -k, g - 10*k = -6*k - 16. Suppose -41*n + 4*n + 333 = g. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-1))\/(-10 + 9). Calculate the lowest common multiple of 18 and (y\/4)\/((-3)\/240).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697615 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/17730 and 43\/95355?\nAnswer: 37569870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.92634 - -0.07366. Let r = -0.3 + 0.6. Which is the closest to v? (a) 15 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3282*v - 3291*v + 54 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/96 and 82\/15.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 377994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2978907367 to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 1}. Give prob of picking 2 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650567?\nAnswer: 650567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*sqrt(20)\/sqrt(4) - (sqrt(125)*2 - sqrt(125)))**2 - (4*(sqrt(40) + sqrt(160)\/sqrt(4))\/sqrt(8) + 1)**2.\nAnswer: -16*sqrt(5) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(sqrt(612)*-3 - sqrt(17)) - (((sqrt(34)*2)\/sqrt(2) + -4)*-5)**2.\nAnswer: -2100 + 286*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5813*r**5*z**2 - 2*r*z**2 - 31*r*z - 2*r - 2*z wrt r.\nAnswer: -116260*r**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 20. Let m(j) = -6*j**2 + 5*j**2 - k*j - 4 + 3*j. What is m(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 3*(3 + sqrt(700)) + sqrt(700) + sqrt(700) + (sqrt(700) + 0)*4 + sqrt(700) + 4)**2*-5.\nAnswer: -424345 - 14300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 13*g = 0. Which is the nearest to g? (a) 2.8 (b) 5 (c) -0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*((-2)\/8 + (-345)\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40521678.1 + 12493759.9. Let h = -53015423.9999954 + f. Let u = h + -14. Round u to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7363 is divided by 534?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-812435)\/39221 + (-1)\/(14\/4) + 19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-2)\/(8\/(-28)). Let i = -2 - s. Let u = 58 + -63. Put 2, u, i in decreasing order.\nAnswer: i, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -273715789*q + 350606019 wrt q.\nAnswer: -273715789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 5, 1124, -1 in ascending order.\nAnswer: -4, -1, 4, 5, 1124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 5*d + 34, 2*y = -2*d - 30 + 8 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125cc4 (base 14) to base 13.\nAnswer: 19121a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15954473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-12))\/(1\/6). Let d be (-4)\/6*(-240)\/(-32). What is the nearest to h in 3\/2, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (40 + -38)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - -10)\/1 + -2. Calculate the highest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*3*(-80)\/(-420))\/(22\/7)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**2\/7 - 25586*k\/7 - 78777504\/7 = 0.\nAnswer: -7632, -5161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1.73?\nAnswer: 0.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 4*x**2 + x - 3. Suppose 0 = a - 2, 5*a - 1 = -2*p + 17. Let l be 0 + p\/(1 - 0). Let o be v(l). Solve o + 15 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -201*r**3 + 27*r**2 - r - 335068 with respect to r.\nAnswer: -603*r**2 + 54*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 192\/36 - (-4)\/12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:14 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5\/3 (b) 0.58 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -172436 (base 10) in base 12?\nAnswer: -83958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134429619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 3656928?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 737*v + 39. Is 9 a factor of d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1146 divided by -611\nAnswer: -1146\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -323*w - 1712. Calculate h(-5).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(1 + 0 - 3)*(2 - 3 + 0)*(-2 - 1 - 2)*(127*m + 388*m + 148*m).\nAnswer: -13260*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 4.9?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a3 - -38d2?\nAnswer: 382e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -87*i**2\/5 + 66*i + 72\/5 = 0. What is i?\nAnswer: -6\/29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 at least as big as 1979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = -6*x + 25*x - 1000. Solve 0 = 5*a - i + 20, -2*i - 78 = -4*a - x for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*w - 12439, 0 = -5*w - 26*d + 25*d + 31106. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221084*o - 110535*o + 7*o**3 - 110549*o + 9*o**3 - 18*o**3 + o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 - 2*k**2)*(-5*k + 3*k + 4*k) - 31*k**3 - 95*k**2 + 95*k**2.\nAnswer: -35*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wowo when four letters picked without replacement from wwwwwwwwwwwowwwwwwo?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44186, -44204, -44246, -44318, -44426, -44576, -44774?\n\"Answer: -x**3 - 6*x**2 + 7*x - 44186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1109, -1040, -965, -884, -797, -704?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**2 + 5*q + 5. Let p(d) = -14*d**2 + 14*d + 15. Suppose -15*s + 23*s = 520. Suppose -221 = -26*b - s. Determine b*p(j) - 17*r(j).\nAnswer: j**2 - j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/j**(-2\/3))*j)\/j*j**(-2)*j)\/((j*(j\/(j\/((j*j*j**4)\/j*j))*j*j*j)\/j)\/(j*j\/j**6)))\/(j**0*j*j**(-1)*j*j*j**5\/j*j**(-7)) assuming j is positive.\nAnswer: j**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3865 divided by 43.\nAnswer: -3865\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-24) - (-4063)\/(-28) - 2. Let s = h - -147. What is the third smallest value in 1\/4, s, -5, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 76*b**2 - 131*b**2 - 6*b + 5*b + 79*b**2 + 7*b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 81*w - 166. What is v(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1 - 7*n + 7*n + n. Let x(r) = -7*r - 5. Determine 6*h(s) + x(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -9. Suppose 0 = -w*v + v + 15. Let l = -107829 + 107835. Solve -v*m = 3*u + 2 + l, 5*m = -2*u - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-60)*5*52*9\/27?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**3 - 5*n - 10. Let q be i(-4). Let l = q - -315. Solve l*r = 4*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2 + 0 + 1477*r - 12*r**2 - 1476*r. Calculate d(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 922 take away -9951?\nAnswer: 10873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -25*v**3 - 2*v - 1. Let q be u(-1). Suppose -h + 3*h - q = 0. Solve -3*g + h = -2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-1)\/((-495)\/(-11)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506644 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*u - 32*u - 27*u + u**2 - 28*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 0*k + 2*m - 1022 = 0, -m - 251 = -k. List the prime factors of k.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263.308 - -28.647. Let x = -290 + h. Let f = 2 - x. Round f to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7283*s**3 + 3787 wrt s?\nAnswer: -21849*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 236*b = 234*b + 1, 4*x + 7*b = 2*x + 23 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2300956726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) 1\/2 (b) 3\/5 (c) 43 (d) 137\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2843214245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5 + 187*d**4 - 1536*d**3 + 4648*d**2 - 6224*d + 3120 = 0.\nAnswer: -195, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65335, -130665, -195995, -261325?\nAnswer: -326655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 3*v = 0. Suppose -g - 5*q + 29 = v, -70 = 7*g - 10*g + 2*q. Solve 29*m + 15 = g*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/22866 and 23\/927?\nAnswer: 68598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a36 (base 13) to base 10.\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2\/59, 3, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -303268?\nAnswer: 1\/151634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2206837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1164*x. Let v(r) be the first derivative of -2*r**3\/3 - 6485. Give v(z(a)).\nAnswer: -2709792*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.029 and -4.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**6\/10 + q**4\/4 + 3*q + 3. Let h(o) be the first derivative of i(o). What is the third derivative of h(u) wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f + f - 38 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 576558662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -87, 2, -3\/2, 366?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z**2 + z + 7. Suppose -3*c - 2*l = 2*c - 754, -5*c = -l - 748. Let j = c - 150. Calculate t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m - 2. Let y be (-70)\/49 - (-8)\/(-14). Let s be (-1)\/(y\/14) + 9 + -12. What is the tens digit of g(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*n = 51*n - 4. Let q be 3 + 0 + n + 301\/(-86). What is the fourth smallest value in -5\/4, q, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 19*z**2 - 2*z + 2. Suppose 35*c - 4 = 39*c - 4*a, -4*c + 2*a = 0. Give s(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -67. Let j be 3\/((-63)\/w)*7. Suppose -j*m - 5*f + 100 + 39 = 0, 4*m = 2*f + 314. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630.3*-19.\nAnswer: -11975.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 39 - 249 = 0. Calculate the highest common divisor of 60 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/3)\/j)\/j)**(3\/2))**(-4)*(j*(j*(j*j**(-5\/4)*j)\/j)\/j)\/(j*j\/(j*j**(-4))*j)*(j*j\/(j\/j**2))**(2\/35) assuming j is positive.\nAnswer: j**(409\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28740 divided by 4?\nAnswer: -7185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, w: 7}. Give prob of picking 4 i.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 - -314. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/16 (b) -16 (c) 5\/2 (d) -0.2 (e) -1276 (f) 4 (g) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 337.5?\nAnswer: -331.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -3*f + 481. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.3 * 143445.\nAnswer: 1334038.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 166*b + 41. Let k(h) = 71*h + 18. Let z(y) = 7*k(y) - 3*m(y). Let n(i) be the third derivative of -i**4\/24 + 5*i**3\/6 + i**2. Give -4*n(d) + 7*z(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 518554585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 35 = n + 4*n, 0 = -3*n + 2*j + 19. Let i be 70\/n*(8 + -5). What is the highest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k = -625. Let l be -3 - 5\/(k\/65). What is the closest to l in 2\/15, -1\/8, -3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 11*t**2 + 5*t + 38. Let s be f(10). Let m(o) = -o**2 - 11*o + 5. Give m(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3*u + 7*s - 1622, 0 = -4*u - 5*s + 2159. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0403 and 0.26.\nAnswer: 0.3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69363 and 12964.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j - 3*i, -3*i = 2*j. Suppose j = -3*o - 2*o. Let h = 9 + -2. Solve -3*k = 2*z + 3*z - h, o = 4*z - 5*k + 24 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v**3 + 292*v**2\/3 + 880*v\/3 = 0. Calculate v.\nAnswer: -110\/9, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*a = -6*s + 214, -5*s - 2*a + 1026 = 0. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 810.1221 decades to years.\nAnswer: 8101.221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63002\/15 + 2\/15*d**3 - 2278\/5*d + 10*d**2.\nAnswer: 2*(d - 17)**2*(d + 109)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2. Let n = -293 + 385. Let h(f) = 37*f - 104 + 196 - n. Calculate k(h(y)).\nAnswer: -4107*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/15 - 4\/5. Let u = -1151 + 1164. Suppose -u*q = -6*q - 7. Which is the second smallest value? (a) -3\/2 (b) q (c) s (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4725 - 2?\nAnswer: 4723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssszsiskssszzsvizs. Give prob of sequence ii.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 11426.718.\nAnswer: 11427.218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 2*a + 13. Is w(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 40 = 4*m. Suppose 5*z + 2*s - 6 = 11, s = -3*z + m. Solve -o = o - z*b, -4*o - 4*b - 20 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (390 + 885 + 183 + 551)*(-16*d + 3 - 3) to the form q + c*d and give c.\nAnswer: -32144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.1, -0.5, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 1. Suppose k + 4*d + q = 5*k, 4*d + 57 = 5*k. Calculate the remainder when k is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*c = 0, 0 = 5*a - 0*a + 4*c. Suppose a*r = 23*r - 1104. Calculate the greatest common factor of 432 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 6:30 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 13) to base 5\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1881 = -3*b + 3*v - 183, 0 = 2*b - 5*v - 1141. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 135, 470, 1021, 1782, 2747, 3910, 5265, 6806?\nAnswer: 8527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 15. Suppose -w = s, 0 = -2*o - 3*s - 1 - 7. Solve 3*n - 10 = -0*h + 4*h, -12 = 2*h + o*n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -12\/11, 0.2 in ascending order.\nAnswer: -12\/11, 0.2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-36)\/(-48)*-1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from rhg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72.94 - 2.94. Let o = -121.5171246 + 191.517135. Let t = o - d. What is t rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -83 (b) 0.3 (c) -2\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 7*h**2 + 5. Calculate v(8).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21507 and 535.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/374 and 93\/110?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 2)*(7*f - 3*f + 0*f) + (-9 + 9 - f)*(4 - 5 + 2) + 3 + 1 + 2*f - 3 to g + l*f and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3.81+443314917405\nAnswer: 443314917401.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -13*y**2 + 14*y + 7. Calculate p(8).\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1955 (c) -3\/166 (d) 3 (e) 4 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1622 - -3143\/2. Suppose 5*x = 10, 4*j + 26 - 10 = -4*x. Calculate the common denominator of (213\/15)\/(j\/5) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**4*o**3 - k**4 + 4257*k**3*o - 140*k**2*o**3 + 50*k**2*o wrt k.\nAnswer: -24*k*o**3 - 24*k + 25542*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**4 - h**2\/2 + 2*h - 11. Let k be c(2). Let d = k + -30. Calculate the lowest common multiple of 42 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i - 2*i)*(-34*i - 71 - 24*i + 69)*(-4 - i**2 + 4).\nAnswer: -58*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/34793 and -71\/88564.\nAnswer: 974204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3097\/102 or -30?\nAnswer: -3097\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532274 is divided by 66620?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1090757, 2181230, 3271703, 4362176, 5452649?\nAnswer: 6543122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -34. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3541293433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 30*w**3 - 4*w + 1. What are the prime factors of i(3)?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*h - 4*g - 113, 4*h + g - 107 = 0. What is the greatest common divisor of 81 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76030 is divided by 18686.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5972 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 15*g**2 + 13*g - 6. Determine s(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*p**3 - 4*h*p**2 - h*p - 1535*h + 3*p**3 + 14*p**2 + p - 167 with respect to h.\nAnswer: -p**3 - 4*p**2 - p - 1535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3385883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 28 + 3370\/(-260))*(2 - 3)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74*k**2 + 3*k**3 + 708*k**4 + 7 - 16*k - 73*k**2 - 27 - 9*k wrt k?\nAnswer: 16992*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.355812928 to 3 dps.\nAnswer: -0.356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 803 and 359931099.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*c**2 + 15 - 15 + (-9 + 8 - 24)*(3*c**2 + 0*c**2 - c**2) to x*c + j + v*c**2 and give v.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -4, 7, 34, 83, 160, 271?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -21*b + 91. Calculate y(-5).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25176353086 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -31. Solve 4*x + g = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71393488 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 18*o + 40. Let a be f(10). Calculate the greatest common divisor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172*q**4 - 3*q**4 + q**3 - 280*q**4 + 1 to f*q**4 + c*q**3 + g + t*q + j*q**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7674*p + 759*p**3 - 1517*p**3 + 756*p**3.\nAnswer: -2*p**3 - 7674*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/398 (b) -0.1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 14561?\nAnswer: 14562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*v**3 - 46*v**3 + 135*v**3 - 48*v**3 + 129*v**2.\nAnswer: 2*v**3 + 129*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/4*6300\/(-1125)*(-2)\/(-11)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 486 in 4\/5, 5, -1.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 116*w + 7. Let x(i) = -117*i - 5. Give -2*f(p) - 3*x(p).\nAnswer: 119*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 16*a - 47. Calculate the remainder when 49 is divided by p(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/9*6\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 51*o**3 - 177*o**2 + 231*o.\nAnswer: -3*o*(o - 1)*(o + 7)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((160\/(-15))\/(-2))\/((-224)\/504)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -81.8 + 84.8. Put -23, -4, g in descending order.\nAnswer: g, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 846986392 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldd when three letters picked without replacement from {z: 7, l: 2, d: 4, j: 2, q: 1, g: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(5\/2)*p*p\/((p*p**0\/p)\/p)*p assuming p is positive.\nAnswer: p**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:10 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 62*w**4\/3 + 60319*w. Let j(f) = f + 0*f + 0*f. What is o(j(l))?\nAnswer: 248*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50 and 0.06875488.\nAnswer: -3.437744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - y - 2. Let f be a(0). Let x = 3 + f. Suppose 3*b + 3 = 2*b. Put b, -2\/3, x in ascending order.\nAnswer: b, -2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (778\/(-603728))\/((-5)\/((-320)\/12)).\nAnswer: -2\/291","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n. Let f be 9 + -6 - (0 - -1). Suppose 7*k = 6*k + f. Let q(t) = -k - 2 - 10*t + 4. Determine c(q(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(336)\/sqrt(7) - (sqrt(3)*2*2)**2).\nAnswer: -51 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -47, -43, -39, -35?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7) + sqrt(7)*2)*3 + (sqrt(7) + -2)*-6 - (sqrt(35) - (sqrt(4235) + sqrt(4235)*1))\/(sqrt(40)\/(sqrt(72) + sqrt(8))).\nAnswer: 12 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(440) - sqrt(440))\/sqrt(10))\/sqrt(4) - (((sqrt(22) - sqrt(22)*-1)*-4)\/sqrt(2))**2.\nAnswer: -704 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.78 + -12.22. Put 1.7, -4, i in increasing order.\nAnswer: i, -4, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*m**5 + 8835*m**4 + 157569*m**3 + 625473*m**2 - 578988*m - 212868 = 0. What is m?\nAnswer: -9, -2\/7, 1, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 6*v + 33 + 32 = -u + 3*v, 11 + 63 = -3*u + 19*v for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 0*i**2 + 0*i**3 - 79\/2*i**4 + 86*i - 194. Differentiate y(f) with respect to f.\nAnswer: -474*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 1\/7, 5, -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 4*t + 18, -4*t - 9 - 3 = 0. Let x be 224\/(-84) + o\/((-18)\/4). Let f(i) = -2*i**2 - 2*i + 4. Let l(c) = 1. Calculate x*l(y) + f(y).\nAnswer: -2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59095*g**4 - 32810*g?\nAnswer: -709140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 178*p**2 - 399*p - 2. What is the smallest common multiple of a(3) and 1178?\nAnswer: 15314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*q + m, -2*q + 23*m = 22*m - 7. Let s(f) = 227*f - 6. Let z(n) = 228*n - 5. Let i(w) = 3*s(w) - 2*z(w). Is i(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*4.07231.\nAnswer: -1.221693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10954 rounded to the nearest 100?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 3, -5 in decreasing order.\nAnswer: 5, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -53. Calculate the smallest common multiple of 27 and r.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5211 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -11. Let t be b\/(-36)*-3 + -1. What is the nearest to 0.1 in -3\/5, -2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*g - 342*g + 15*g + 6 + 2*g**2.\nAnswer: 2*g**2 - 367*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6094 divided by -3047.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 4 + 4)*(-3*k + 2*k - k) - 10*k + 14*k + 34*k)*(22 - 28*k - 22) in the form a + j*k**2 + n*k and give j.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3006 at most 3008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 7*q + 14. Let j be m(-4). Solve d - 4 = -y, 3*y + j*d - 5*d = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) - 58\/8. Let r = p - -39. Calculate the remainder when r is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/4 - 6499851*l\/2 - 42248063022201\/4 = 0.\nAnswer: -6499851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 131, 322, 591?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**2 - 2. Suppose 46 = -z + 24*z. Suppose 3*m - 16 = z*s, 5*m - m = 3*s + 23. Calculate k(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -502, -490, -456, -388, -274, -102, 140?\n\"Answer: 2*f**3 - f**2 + f - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3034*n - 159576 = -3615*n for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*r - 197, -2*v - 5*r - 260 = 121. Let b = -55 - v. Let d = 547\/4 - b. Put 1\/4, -4, d in descending order.\nAnswer: 1\/4, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9949*n**4 + 2*n**3 - 142975*n**2?\nAnswer: -238776*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312512 (base 7) in base 8?\nAnswer: 1432265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106479 (base 13) to base 7.\nAnswer: -3163116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 796169069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -31d?\nAnswer: -31d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1007754 rounded to 3 dps?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afsf when four letters picked without replacement from fafsfsfsffafaffasfs.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 10*r**2 + 6*r**2 - 19*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 3, r: 2, j: 4}. Give prob of sequence jr.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 331 = 29. Calculate the smallest common multiple of 36 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -83 and 2679.\nAnswer: 2596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -106*c**2 + 26*c - 29. What is z(1)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**3 + 11*c**2 + 9*c - 2. Let f(d) = 4*d**3 - 6*d**2 - 5*d + 1. Let k = -40 - -34. Calculate k*w(n) - 11*f(n).\nAnswer: -2*n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*m - 5, 7 = 2*x + 3*m - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000146387944 to seven decimal places.\nAnswer: -0.0001464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40029*p**3 - 3 - 20023*p**3 - 20009*p**3 + 3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23683390, 23683390, 23683396, 23683414, 23683450?\nAnswer: 23683510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.693237 millilitres to litres.\nAnswer: 0.003693237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 727328118 a multiple of 1154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114993354*4.\nAnswer: -459973416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1500.28 * -0.6.\nAnswer: 900.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 135048 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(32 - -13))\/((-5)\/(-60)). Let f be 0 + ((-6)\/(-2))\/3. Which is the closest to f? (a) -0.1 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*p - 4 = -12, -5*p = 5*d. Let q(z) = -z**3 + 12*z**2 - 11*z + 2. What is the smallest common multiple of d and q(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46429.34 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 943 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -9, -26, -47, -72, -101?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4182861079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 8*f - 51*a - 70 = 0, -8*f + 3*a = -505 for f.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14*k - 41. Let v be m(10). Suppose -2*a + 6 = a. Suppose a*l = -0*l + 18. Calculate the highest common divisor of l and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -19*t**2 - t + t**3 - 5 + 28 + 10*t + 8*t. Is 4 a factor of j(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-4\/5)*q**(-21)*(q\/q**(-6\/7))**2 assuming q is positive.\nAnswer: q**(-633\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1518163057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 2, -12, -13.\nAnswer: -13, -12, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or -381666?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.075 + -76.925. Let u = -26 - f. Let z = -50 + u. Are z and 1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) 1\/8 (c) -9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v + 12*v**2 - 6*v**2 - 13*v**2)*(1 - 2 + 3) to q*v**2 + t*v + w and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -65, -1\/944, -4, 5, 1\/10, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 108515 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 1:33 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 865694 and 88.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 + -248. What is the highest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 117 = -120. Which is bigger: q or 3\/208?\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 185*y - 189*y + 559*y - 185*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -492 - -254. Let o = y - -236. Suppose -7 - 3 = -2*s. Which is the closest to -1? (a) -2\/9 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let h(b) be the second derivative of -23*b**4\/24 + 5*b**2\/2 - 7*b. Let m(t) be the first derivative of h(t). What is f(m(i))?\nAnswer: -23*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481\/21 + (-144)\/126 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 - o**4 - 14*o**3 - 3*o**4 + (10*o**3 + 5*o**3 + 0*o**3)*(2*o - 5*o + o).\nAnswer: -31*o**4 - 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 - 7*j + 2. Let o(l) = l**2 + l - 1. Let y(n) = -4*o(n) - r(n). Let h(c) = c**2 - 5*c + 1. Let k be h(4). What is y(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 - (-108)\/42)*(-1 - 34). Suppose -2*j + 1260 = f. Is 57 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = d - 3*d + 38, z - 119 = -5*d. Solve -7*t - 30 = -d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4319*p - 5704*p - 6662*p - 7009*p + 1161*p.\nAnswer: -22533*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8934307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 3*r + 6. Let k be u(-5). Let i = -4.6 - 0.4. Let b = i + 3. What is the second biggest value in b, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvgvgmg. Give prob of picking 2 m and 2 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 - -176. Let i(s) = 4*s - 20. Let o be i(6). Which is the second biggest value? (a) o (b) 5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x + 5. Let o(v) = 1 - 1 - v - 1. Let q(h) = g(h) + 5*o(h). Let c(i) = -5*i. Give c(q(z)).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417795689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/326, 140, -3, -0.2, -2\/5, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a, -3*t + 45*a - 12 = 25*a + 21*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3*x - x)*(-5 + 4 - 15*x + 3).\nAnswer: 30*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 5*i**2 + 10*i - 9. Let v(r) = 4*r**3 - 33*r**2 - 26*r - 5. Let m be v(9). Calculate j(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/330008 and -1\/14200.\nAnswer: 8250200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20 (b) 0.35 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -16*h**2 + 52*h - 2. Let i be t(3). Let q be (0 - 32\/i)*(-330)\/12. What is the highest common factor of 220 and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*m**2 - 2*m - 4*m**4 - 4 + 6*m + 3 to h*m**4 + j*m**2 + x*m**3 + c + y*m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3388) - (1 + sqrt(3388)))*2 - sqrt(3388))*5.\nAnswer: -110*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427*s - 673*s - 1279*s.\nAnswer: -2379*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1053569154 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 1078.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/5 - (-1)\/((-10)\/28)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 13\/8501 in descending order.\nAnswer: 4, 13\/8501, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112005, -224022, -336039, -448056, -560073?\nAnswer: -672090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/13 + 654*a**4\/13 - 62550*a**3\/13 + 1404890*a**2\/13 + 1595832*a\/13 - 2938824\/13 = 0.\nAnswer: -2, 1, 34, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-14 + 13)\/(2\/(-122))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + -3 - (0 + 1). Let u = -6 - a. Calculate the remainder when 8 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -18*j - 16. Let w be j - (-3 - -8100004) - 3. Round w to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 81006 = -6*t. What are the prime factors of t?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -257 - 86*i**2 + 58 - 39 - 204 + 1220*i**2 with respect to i.\nAnswer: 2268*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8546243 is divided by 1768.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35558 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40030 - -84249. What is the ten thousands digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -812 - 224. Let z = -52 - v. Let w = z + 598. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 2*i. Let w be f(-2). Suppose 4*g - 33 = 3*b + 15, -b + 32 = w*g. What is the second derivative of 9 - 4*s - g + s**2 wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 + 131. Let t(s) = -1024*s + 4. Let d be t(f). What is the third derivative of -13*l**6 + 1028 - d - 10*l**2 wrt l?\nAnswer: -1560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 935650 (base 10) to base 4.\nAnswer: 3210123202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50754 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**8\/1260 + x**7\/252 + x**6\/135 + x**5\/180 + 2*x**3 + 10*x**2. Let k(c) be the first derivative of i(c). Factor k(l).\nAnswer: 2*l*(l + 1)**2*(2*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - -4. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -1. Let z = g - 4. Let u = 5.967 + z. What is u rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5 - 0. Let w be (-1)\/(-2)*1*18. Suppose 5*d - c - w = v, v + 2*d - 25 = 0. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76 - -57) + (-34 - -29 - (-1 + (0 - -2))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3. Let j be -1*l*(1 - 2). Solve 9 = -3*n + j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*u - 18. Let n(g) = -u - 6 + 12 - 10*g. Let c be n(-2). Calculate the highest common factor of 136 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c**4 + 0*c**2 + 4*c**4 - 8*c**2 wrt c?\nAnswer: 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 719*h**5\/30 + 865*h**4\/12 + 1290*h**2. Find the second derivative of s(i) wrt i.\nAnswer: 2876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453356 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*k - 2*u + 10, 4*u - 12 = -2*k. Let g be ((-42)\/(-15) - k)\/((-57)\/(-190)). Suppose 3*q - 84 = 36. What is the highest common factor of g and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -365*h + 5. Let f(q) = -1. Determine -6*f(s) - r(s).\nAnswer: 365*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 18 = d, -p - d = -0*d + 6. Suppose -x + 887 - 885 = 0. Put 4, p, x in increasing order.\nAnswer: p, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/65)\/(-8)*(-910)\/6020?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92923231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 822276159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 11*h - 23. Let l be a(-13). Let y be 14\/(-21) + 17\/l. Solve -3*b + y = -7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 25*q + 98. Determine h(13).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 43*r - 220. Give k(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/110 and -61\/220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 2 + 4. Suppose 25 = -5*l, 3*v - 4*l - 30 = v. Sort v, r, 3 in descending order.\nAnswer: v, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2319 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 11 = 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a**2 - 5*a + 7. Let n(i) = 7*i**2 - 4*i + 6. What is -3*f(z) + 4*n(z)?\nAnswer: 4*z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-3))\/((-8)\/(-24))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**3 + 107*t**2 - 140*t**2 + t**4 + 3*t**3 + (t**2 + t**2 - t**2)*(-48*t**2 - 17*t**2 + 12*t**2).\nAnswer: -52*t**4 - t**3 - 33*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*x - 85*x + 92 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 16*o - 8*o. Solve -t + s = 8, o*s - 28 = t - 3*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/7, -0.5, 0.2, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/14 and 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1391*g**3 - g**2 + 2. Let w be f(-1). Calculate the greatest common factor of 48 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12064 or 2532?\nAnswer: 12064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i = -34*i + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 391692.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.77 + 3.87. Let q = -14251545.90000016 - -14251547. Let i = q - v. What is i rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*v**2 + 73*v - 73*v as p + b*v + y*v**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 + -1.36322.\nAnswer: -1.41322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 16 = k, 4*k + 3*l - 17 - 21 = 0. Suppose -8 = -2*s + 76. What is the greatest common divisor of s and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/586556 and 109\/6.\nAnswer: 1759668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((((i*(i\/((i**(-5)*i)\/i))\/i)\/i)\/i)\/i)\/i)\/i)\/i**(-2\/5)*i**(4\/3)*i*i**4 assuming i is positive.\nAnswer: i**(131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/6737354 and -95\/104?\nAnswer: 26949416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -185.6648 rounded to 0 dps?\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Suppose -4*a + 52 = 3*i + a, -5*i = x*a - 60. Let u = -6 + i. Put -3, u, -1 in decreasing order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 16601178.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/3 - 112*j + 340\/3.\nAnswer: -4*(j - 1)*(j + 85)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10547\/80 + 632\/5. Let u be (-8)\/(-6)*(-27)\/(-6). Calculate the common denominator of g and ((-1)\/u)\/(1\/(-101)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(1*-2*sqrt(64))\/(sqrt(8)\/(sqrt(4) - -4*sqrt(8)\/sqrt(2))) + 1)**2.\nAnswer: 480*sqrt(2) + 115206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4 = -4 + 2, 3*q + 1 = -f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5, -11447, -1\/3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n\/(n\/(n\/(n*n\/((((n**0*n)\/n*n*n)\/n)\/n)))))))**(-2\/51)\/(n**3\/n**(-2\/9)) assuming n is positive.\nAnswer: n**(-29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 13*v**2 + 34*v + 9. Let o be c(9). Let x be (3\/(o\/10))\/((-12)\/18). Solve -x*h + 9*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -23. Let w(s) = 4*s - 7. Is w(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128*-52913\nAnswer: -6772864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5540*i + 4377. Is n(-44) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/6)\/(-6 + -7 + 17). What is the nearest to -1 in 1\/4, a, 1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13883ac (base 15) in base 2?\nAnswer: 110101110010110001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -478, -722, -948, -1150, -1322, -1458?\nAnswer: -1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -983\/7315 - -3\/665. Let f = v + 3\/11. Let w = 0.261289 + 0.038711. Which is the smallest value? (a) f (b) w (c) 0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -3*g - 10. Solve 5*c**3 - c**3 - 2*c**3 + g*c**2 = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -3*d**4\/4 - d**2 + 17. Let u(w) = -10*w**3 - 7*w. Determine -6*u(s) + 21*v(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 5106*o**3 + 2558*o**3 + 2561*o**3. Let k(i) = i**3 - i. Calculate -4*k(c) - v(c).\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.056 and 16.\nAnswer: 0.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 + 22*m**2 + 27*m - 18. Give r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -21. Which is the smallest value? (a) 0.05 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*l - 4)*(2*l**3 + 2*l**3 + 6 - 3*l**3).\nAnswer: -2*l**4 - 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*(77\/(-2))\/((-5)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -682453008.97?\nAnswer: 682453008.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 32938834.3 to the nearest 1000.\nAnswer: 32939000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1213, 3877, 8035, 13711, 20929, 29713?\n\"Answer: 4*f**3 + 723*f**2 + 467*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.36 - 0.06. Let o = -43 - -43.4. Let r be 3\/(-2)*(-172)\/(-903). Which is the smallest value? (a) o (b) r (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3\/2 (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -259, -253, -245, -235, -223, -209?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 12. Let c(u) = -2*u - 2231 + 2208 + 0*u. Calculate 3*c(k) - 7*t(k).\nAnswer: k + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-704)\/(-160)*(-40)\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43 from -0.544.\nAnswer: -43.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 21 = 12*l - 7*l + 19, -3*y + 0*l - 3 = -4*l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5605952.\nAnswer: 2, 11, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -55 + 14 + (7 - -36)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100102202 - 2?\nAnswer: -10100102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*q - 6751 = 0, -16*q + 9 = -13*q. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 833873\/215045 - 159\/41. Let b = c + 204611\/146860. Calculate the common denominator of b and -7\/68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, m: 1}. Give prob of sequence zm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 374821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 14. Suppose n - 188 = -o*f, -5*f + 10*f + 509 = 3*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.18 to 1 decimal place.\nAnswer: 88.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*y + 3, 11 = -y + 53365*n - 53363*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/40 - (12276\/16)\/11. Sort 0.3, 1, -0.5, 12, y in ascending order.\nAnswer: y, -0.5, 0.3, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(637) + sqrt(637) + 1 + sqrt(637))*2 - sqrt(637))**2 + 0.\nAnswer: 140*sqrt(13) + 15926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 44. Let f be h(18). Let r be 6\/(-18) - 5\/(-3). What is the nearest to -0.1 in 5, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 496*v + 319*v + 166*v - 26)*(-1 + 1 - 2*v) to m*v + k + t*v**2 and give m.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 10 = k + 3, -3*l = -9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -24. Let t = s + -11. What are the prime factors of (3 - t)\/((-1)\/(-5))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 7724 - 3934 = 4078 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9935198?\nAnswer: 2, 7, 13, 79, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*d**3 + 3*d**3 - 5*d**3)*(2 - 4 + 3)*(-4 + 8 + 4) in the form g*d + t*d**2 + w*d**3 + r and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*j - 33, -6*j + 126 = -j - 2*i. Calculate the remainder when 95 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**2\/2 - 4*u + 2. Give w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104760943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 622923 (b) 0.1 (c) 0.3 (d) -1 (e) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2063*k**2 + 1153*k - 1157. Calculate m(1).\nAnswer: -2067","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 102*1\/(24\/32). Calculate the highest common factor of s and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-44)\/132)\/(1\/(-96507))*1.\nAnswer: 3, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2. Let w be 3\/27 + (-168)\/54 + 3. Let u(r) be the third derivative of 0 + 1\/30*r**5 + 6*r**2 + 0*r**3 + 0*r + w*r**4. What is u(o(y))?\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121.5344 + 0.0656. Let k = y - 122. Which is the fourth biggest value? (a) -4\/3 (b) 2\/3 (c) 0 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153)*-1 - sqrt(153))*1)\/(-1*sqrt(81)) + ((sqrt(1377) + -3 + sqrt(1377)*1 + sqrt(1377) - (sqrt(1377) + 1 - sqrt(1377))*1) + -3)**2.\nAnswer: -1133*sqrt(17)\/3 + 12442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2101558534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f. Let r(b) = 11953*b. Give d(r(p)).\nAnswer: -59765*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/5 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c + 18*c**2 + 332*c**3 - 165*c**3 - 166*c**3 + 49. Does 10 divide h(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 - 4 = 0, 3*t + 2*d = -4. Let b(p) = -p**3 + 7*p**2 + 7*p + 17. Let v be 5 - 2\/2*-3. Calculate the remainder when b(v) is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 36 - d + 0*d)*(-2*d - d + d).\nAnswer: 2*d**2 - 84*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5074017, 5074051, 5074085, 5074119, 5074153, 5074187?\n\"Answer: 34*f + 5073983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by -1.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 11) to base 6\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -12) + 0 + -3 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-6))\/((-2)\/4). Let n be (3\/v)\/((-2)\/(-8)). Suppose -n = z - 14. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4080174784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 197, 154, 39, -184, -551, -1098, -1861, -2876?\n\"Answer: -6*m**3 - m + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1536.544 millimeters?\nAnswer: 1536544000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 24*a**2 - 21*a + 10. Let y be j(-11). Sort 1, y, -6.\nAnswer: -6, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r - 13. Let c be l(-10). Let -3 + c + 18*w**2 + 80*w**3 + 32*w**4 + 0 - 26*w = 0. What is w?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 49 + 8 = 3*g, -27*g + 4*l = 28*g + 53 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 + 11*l + 4. Let p(w) = 8*w**2 + 22*w + 7. Let u(r) = -7*n(r) + 4*p(r). What is the second derivative of u(c) wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(176) - (-2 + sqrt(16)\/sqrt(2)))**2 + 4 + (sqrt(32) + 0)*2 + 3.\nAnswer: 2*sqrt(2) + 31\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-50 + -9 + 61 + (-5 - 0))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157 + 403 - 644*b - 126 - 120 to the form q + a*b and give a.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.81 - 12.31. Which is the nearest to -13? (a) j (b) 0.02 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 101, 366, 883, 1736?\nAnswer: 3009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = c + 2*y + 4, -5*c + 34 = y. Suppose 7*p = 3*p + 8. Find the third derivative of -3*k**5 + 3*k**5 + p*k**c + k**2 wrt k.\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4512 and 27205856?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 14*y**2 - 11*y + 37. Calculate o(-12).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2676237769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16759 + -67035\/4. Which is the biggest value? (a) u (b) 2\/15 (c) -1\/248 (d) 5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14610622 (base 8) to base 10.\nAnswer: 3346834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11021100310 (base 5) to base 10\nAnswer: -11893830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32980, -31253, -29526, -27799, -26072, -24345?\n\"Answer: 1727*q - 34707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 279*0.3\nAnswer: 83.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2620.0434 to the nearest 10.\nAnswer: -2620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 0.1 (c) -20 (d) 1\/333\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 76?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 24\/9)\/1. Let q = 434.5 - 434. Which is the closest to -5? (a) l (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 + 130. Let d be (475\/38)\/(1\/2). Suppose 2*n - d - 31 = 0. Calculate the greatest common divisor of i and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m**(-20))*m**1 assuming m is positive.\nAnswer: m**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 3*j - 14 = 0, j - 28 = 5*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, x: 1, b: 1, e: 1, n: 1, m: 1}. What is prob of sequence ex?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232168293 is divided by 1242?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 694.564l in millilitres?\nAnswer: 694564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -446 - -460. Solve 4*b + y = -2*j, j = 3*b - 5 + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.41, 2\/7, -4, -0.4 in decreasing order.\nAnswer: 2\/7, -0.4, -4, -4.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35738)\/39804 + (-4)\/(-62) + 0.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = 2*o + 8, 743 - 707 = -3*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 l, and 1 h when three letters picked without replacement from {l: 4, g: 1, h: 4, a: 2, z: 3}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -44, -53, -62, -71?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50655*r + 50650*r = 500 for r.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6130335, 6130338, 6130341, 6130344, 6130347, 6130350?\nAnswer: 6130353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70559984 and 10505.\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 9 - 7 = 3*a, -8 = 2*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -4*u + 7*u. Suppose -u + 14 = 3*l. Let x(j) be the second derivative of -j**5\/20 - j**4\/2 + 4*j**3\/3 + 5*j**2 + 38*j - 1. Give x(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.36 - 78.64. Let j = -122 - p. Which is the smallest value? (a) 1 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 229*f**4 + 57277*f + 64727299 wrt f?\nAnswer: 916*f**3 + 57277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/4 and 25\/17.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v + 3. Let z(l) = 3*l + 2. Let n(w) = 2*o(w) - 3*z(w). Let j(u) be the first derivative of -27*u**2\/2 - 1. Give j(n(f)).\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 722\/849 - 1363120\/19527. Which is smaller: u or -68?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x - 2*s + 8, 3*s - 26 = -5*x. Let q(k) = -k**3 + 4*k**2 - 2*k + 1. Calculate q(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 14250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5814\/5814*((-3)\/(-27))\/(-1*2)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/133 and -58\/1767?\nAnswer: 12369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8 = 0, -2*j - 4*s + 2 = -7*s. List the prime factors of (2\/j)\/((-55)\/(-97405)).\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.692 plus -8.5?\nAnswer: -7.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132864*d - 2215*d**3 - 265726*d + 132862*d.\nAnswer: -2215*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) 0 (c) 901\/8 (d) -0.1 (e) -71\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.9 in 0.2, -5, 0.01, 0.5, 11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140410 (base 7) to base 6.\nAnswer: -323114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*v + 2. Let p be (0*(-3)\/(-6))\/v. Suppose -4*d + 2*d + 8 = p. Solve d*j = 14 + 6 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2.5, -0.2, -4, 0.051, -3 in decreasing order.\nAnswer: 0.5, 0.051, -0.2, -2.5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - k - 3*k)*(-3 + 1 - 1 - 2 - 3 + 3 + 0 + 0 + 1 + (2 + 4 - 5)*(-1 + 2 - 3)) - 4 + 4 - k to the form q*k + r and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 5016726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 6. Suppose d = -4*d. Let k be 1\/(2 + -4 + -1). Which is the smallest value? (a) k (b) x (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 89*h**2. Let v(y) = -8*y - y - 8*y + 18*y. What is b(v(q))?\nAnswer: 89*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -789*b**2 - 835*b**2 + 1 - 1 + 2470*b**2.\nAnswer: 846*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) + (-104)\/(-32). Let j(h) = -h**2 + 5*h - 4. Calculate j(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let r(f) = -4*f**3 + 6*f**2 - 8. Let t(n) = -3*n**3 + 7*n**2 - 7. Let u(m) = 2*r(m) - 3*t(m). Calculate the remainder when u(9) is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 2*u + u)*(-u - 2*u + 5*u) + (u + 0*u - 3*u)*(-4 + 3 - 4)*(-6332 - u - u + 5803) as x*u**2 + z + j*u and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4183 or 1?\nAnswer: -3\/4183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4687 - 5050.\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2008 - -2007.5. What is the nearest to 0.1 in x, -5\/6, 0, 0.132?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 14*p + 13. Determine t(16).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06541 + 0.33459. Which is the fourth smallest value? (a) 1 (b) 0.5 (c) 4 (d) w (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/((z**(1\/2)\/z)\/z)*(z**(-1\/7))**13)**(-44) assuming z is positive.\nAnswer: z**(1958\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19901 minus -0.04?\nAnswer: -19900.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/294*(-8)\/(-10).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**7\/2520 - c**5\/360 + c**3\/3 + 2. Let w(a) be the third derivative of z(a). Factor w(p).\nAnswer: p*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225) + (1*sqrt(225) - sqrt(225))*-4)\/(-4*sqrt(6)\/sqrt(32))*6 + 1.\nAnswer: -30*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -8*k**2 + 14*k + 19. What is the tens digit of i(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 4*x - 38, 14*x - 13*x - 8 = 3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r. Let y(p) = -10*p**2 + 3 + 22*p**2 - 3. What is c(y(g))?\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2134, 2130, 2124, 2116, 2106, 2094?\nAnswer: 2080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.07 - -2.07. Which is the third smallest value? (a) r (b) 7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n - 8. Let d(y) = -y + 3. Let v(j) = -8*d(j) - 3*i(j). What is the units digit of v(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.5 (b) 0.04244 (c) -0.4 (d) -2 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4 + 90\/12. Let k be (-2)\/(-1) + -2 + a. Calculate the highest common factor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 g, and 1 s when four letters picked without replacement from gdggdmmmgggggsdgxs?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2680 <= -2678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = -24. Let f(b) = -b**3 + 5*b**2 + 2*b + 3. Calculate the remainder when i is divided by f(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.2, 0.26, 5, 0.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*u - 17 = 222*u - 3*p, 4*p = 4*u + 24 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -1. Let g be (-30)\/(-9) + -11 + (-3 - -10). What is the fourth biggest value in -3, 0.2, g, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 3:14 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143 + -143. Let l(j) = -j - 7. Let b be l(-12). Sort 2, 4, s, b in descending order.\nAnswer: b, 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/12 + s**3\/3 - s**2. Is p(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20 - -1)\/(-3 + 2). Find the second derivative of a*f - 22*f + 2*f**5 + 0*f**5 wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2dd60236 + -2?\nAnswer: 2dd60234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11138873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 - -65 - (-1 + -9 - (-2 - -61)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 10*c + 21*c - 11*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - 2215*y**2 + 1708*y**2 + 257*y**2 + 250*y**2.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -2 + 65 + 0. Suppose -5*x = -4*x - 4. Suppose -x*m = 12 - 40. What is the greatest common divisor of n and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 + -130. Calculate the remainder when 65 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.232 - 22.5. Let y = -0.168 - d. Which is smaller: 0.08 or y?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -76782 + -1?\nAnswer: -76783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 551 = q + 574, 4*q = -3*g - 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-21 + (-12 - -24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176801 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1537152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/7 + 8160*s\/7 - 16328\/7 = 0. Calculate s.\nAnswer: -4082, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 27, 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, r: 1, f: 1, q: 1, h: 1}. Give prob of picking 1 h and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, p: 1, q: 2, l: 1, z: 1, w: 1}. Give prob of picking 1 w, 2 z, and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10441379 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: Which is the biggest value? (a) 0.7 (b) 4 (c) 1\/2 (d) 3 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10020 - -1151. What is the remainder when s is divided by 196?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 67 = -d, 2*d - 4*y - 176 = -d. Suppose 0 = -3*r - 0 - 0. Suppose -4*t - d + 236 = r. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*p = -t + 6, 3*t = 3*p - 3. Suppose -5*h = -4*h + t. Is -0.6 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 7. Let o be a(-4). Suppose -o*f = -30 + 6. Which is greater: f or 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3279637472?\nAnswer: 2, 102488671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {i: 2, f: 1, m: 2, p: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 1, -3*s - s - 1 = -d. Let h(l) = -l + 8. Let w be h(d). Let g be 2 + (1*18)\/w. Solve -4 = 3*z + g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) -6 (c) 12 (d) 4 (e) 5.2 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, h: 11}. What is prob of sequence hw?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 times 1?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 8*t. Calculate s(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/162 and -67\/34422.\nAnswer: 929394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 12. What is the third biggest value in -5, 5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 477 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, 4\/197, 0.3, -2 in decreasing order.\nAnswer: 0.5, 0.3, 0.2, 4\/197, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(40\/(-25)*(-230)\/(-1725)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3086626500 to the nearest one million.\nAnswer: 3087000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000001100001110010 (base 2) to base 12.\nAnswer: -217042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.35 + 14. Let p = -8727\/61187 + -2\/8741. Which is the fourth biggest value? (a) 1\/4 (b) m (c) p (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 183 = -183 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20 - (7\/(-3) - 8\/12). Suppose -j + 7 = -4*y. Solve -y = -8*l + 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -18.34. Let w = -30.9 + 31.52. Let b = w + k. What is b rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -851090863*g*z**3 - 506*z**3 - 2*z**2 + 171815 with respect to g.\nAnswer: -851090863*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20788, 20609, 20430?\n\"Answer: -179*c + 20967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 - 1 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*z**4 + 1440 - 2840 - 1415 wrt z.\nAnswer: -312*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32.2 - -32.6. What is the nearest to -6\/13 in j, 4\/13, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -54, 183, -4\/7, -5, -2 in ascending order.\nAnswer: -54, -5, -2, -4\/7, 0.1, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8246 - 2225. Suppose 31*n - 40*n = -q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*k + 0 - 1\/8*k**3 - 3\/8*k**2 = 0. What is k?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (88\/64)\/(-11) + (-164)\/(-32). Let j(i) = -3 + 2 + i + 0. Give j(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.32 + -41.32. Let a = h + 46. Sort a, 4\/3, -0.1, -9 in descending order.\nAnswer: a, 4\/3, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278506 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 12*x**2 + 90*x + 248. What is z(-6)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0584342703 to 4 dps.\nAnswer: -0.0584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, k: 16}. Give prob of sequence jkj.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82305459*y**3 - 366264*y + 2?\nAnswer: -493832754*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 7 (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 10. Let c = -2 + i. Suppose -4*q - c + 6 - q**2 - 5 = 0. Calculate q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107936?\nAnswer: 2, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 539*z**3 - 571*z**3 + 942*z**3 to the form i*z**3 + g + m*z + w*z**2 and give i.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37.363 - -0.437. Let c = n + -38. What is the closest to 3 in -2, 2\/3, c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(22)\/sqrt(2)*2*-1*3 + 3*((0 + sqrt(1584))**2 + (2 + sqrt(11))**2 + 3).\nAnswer: 6*sqrt(11) + 4807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 977203 - 681792. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**6\/150 + 2*l**5\/25 - 7*l**4\/20 + 3*l**3\/5 - 167*l. Factor h(d).\nAnswer: -d*(d - 3)**2*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (834*n**2 + 1948*n**2 - 173*n**2)*(n**2 - 6 + 6).\nAnswer: 2609*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(539) - -1*sqrt(539)) + 2 + 1 + 2*(sqrt(539) + sqrt(539)*2))**2.\nAnswer: 784*sqrt(11) + 34545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.01 - -28191.686925.\nAnswer: 28192.696925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -833 + -84022?\nAnswer: -84855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d**4*k - 44832*d**3*k**3 - 1478221*k**3 with respect to d.\nAnswer: -12*d**3*k - 134496*d**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - -4. Let z = v + -53. Let u(w) = -2*w**3 - w**2 - 2*w - 2. Let x(t) = -8*t**3 - 4*t**2 - 9*t - 9. Give z*x(o) + 9*u(o).\nAnswer: -2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 404802 and 344?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014618944?\nAnswer: 2, 2089, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -595459*x**3\/3 - 49*x**2 - 71*x. Let d be h(-11). Round d to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.169 minus -0.17152?\nAnswer: 0.00252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 2*s. Let k(h) = -h - 3. Let p be k(-7). Suppose 6 = p*z - 6. Let u(r) = -z*r + 2*r + 3*r**2 - 5*r**2 + r**2. Determine 2*u(w) + x(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 37, -6, -77, -182, -327?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-4*-3*sqrt(20)*1)\/(5*(((sqrt(70) + (sqrt(70) - (-2*sqrt(70) + sqrt(70))) + sqrt(70))\/sqrt(7) - sqrt(10)) + sqrt(50)\/sqrt(5)*6)))**2.\nAnswer: 128\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 13*t**6\/18 + 28*t**5\/15 + t**4\/3 - 26*t**3\/9 - 17*t**2\/6 - 2*t\/3 + 22. Suppose q(d) = 0. Calculate d.\nAnswer: -1, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*g + 257 = -240 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -7, 99 in decreasing order.\nAnswer: 99, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34665, 34676, 34701, 34746, 34817, 34920?\nAnswer: 35061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-177)\/(-295)*(-280)\/(-5124).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2904 + -2904.11. What is the fifth biggest value in r, -2\/9, -4, 4\/9, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -19. Let d = 0.42 - -0.08. Let y = 9\/8 + -53\/40. Which is the biggest value? (a) i (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(22\/(-27)) - -1 and 40\/300 - ((-4)\/2 + (-14463)\/(-2160))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6840509, -27362032, -61564573, -109448132, -171012709, -246258304, -335184917?\n\"Answer: -6840509*w**2 + 4*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + c = -29, -37*c = -2*s - 39*c + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {n: 3, v: 2, b: 2, x: 1, d: 1, e: 6}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q**(-3)\/q)*q\/(q**(4\/9)\/q)*(q*q**(-2\/3)\/q*q)**(-2\/71))**(-32) assuming q is positive.\nAnswer: q**(-154304\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -935, -926, -903, -860, -791, -690?\n\"Answer: b**3 + b**2 - b - 936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -864 - 945 - 947 + 3*v**2 + 2756.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**3\/6 + w**2 - 2*w. Let q(i) = -i + 3. Give -5*g(l) + 3*q(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 88410?\nAnswer: 88410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*u**3 - 78*u**2 - 62*u**2 + 50*u**2 - u**3 - 3821*u - 18*u**2 wrt u.\nAnswer: -60*u - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7*j + 15 = 0. Suppose j*y = 15, -4*x = -2*x + y - 15. Let h(u) = 0*u - 4*u - 1 + x*u. Calculate h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 774 + -774.2. What is the nearest to 0.1 in k, -2\/445, -5?\nAnswer: -2\/445","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 316623 - 313996 = -0*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 45*h**2 - h - 5*h**2.\nAnswer: -50*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4493*t**2 + 4493*t**2 - 10*t**3 + t**3 + t**3 + 4*t**3 - 2*t**3 - t**3 + 2*t**3 + (-2*t - 3 + 3)*(-4*t**2 + t**2 + 2*t**2).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9230246 is divided by 135.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99*-62.13.\nAnswer: 6150.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v - 81. Let y be z(-21). Suppose -5*k = -3*s - y, -7 = k + s - 25. Solve -k = 3*o, -22 + 2 = 2*i + 2*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -1, -45, 39387 in descending order.\nAnswer: 39387, -1\/8, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. What is the remainder when (-2)\/p + -4 + 14 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1300) - sqrt(1300)*1) + 5 + 1 + sqrt(13)).\nAnswer: -6 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 21*c - 31. Is r(-17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 38\/13, 0.15, 18, 3, 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14650 - 14645. Solve 8 = -2*j + 7*r - 10*r, -g*r - 14 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594*n + 3*r = -598*n + 10, -r + 6 = 4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/25 (b) 582 (c) -2 (d) -4 (e) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1490 (base 13) to base 16\nAnswer: -bae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3491 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -890, -1640, -2386, -3128, -3866, -4600?\nAnswer: -5330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/22 and (213\/(-36) - -6)*-35.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let a(u) = -5*u - 4. Let r(c) = -9*c - 7. Let p(i) = -7*a(i) + 4*r(i). Give w(p(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/209 (b) -5 (c) 17\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -602 - -479. Do -2\/11 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 + 7*c + 5 - 1 + 5*c**3 - 8*c**2. Calculate u(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 246, 223, 186, 135, 70, -9?\n\"Answer: -7*g**2 - 2*g + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 + 31798*o + 252778201 = 0. Calculate o.\nAnswer: -15899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12515\/15136 + -8\/473. Find the common denominator of 49\/4 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 161*g*n**6 - 7*g*n**2 + n**2 + 1 wrt n?\nAnswer: 19320*g*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 223404296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1560 (base 9) to base 8.\nAnswer: -2244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002923 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-1 - -1069) + (-285)\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19852 is divided by 3302?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 5004*c**2 + 29970*c - 44928.\nAnswer: 2*(c - 2496)*(c - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38436983*b**5 + 40436264*b**2 wrt b?\nAnswer: 2306218980*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - i + 5*i - 3343690 = 0, 2*p = 2*i + 2229136. Let k be p\/(-27174)*2\/(-36). Let l = k - 4\/4529. Calculate the common denominator of -31\/6 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48070193417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 57. Sort 2\/3, w, -2 in increasing order.\nAnswer: -2, 2\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.399602 from -296256.\nAnswer: -296255.600398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0289312804 rounded to four dps?\nAnswer: -0.0289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007529 rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4112, 2626, 1140, -346?\nAnswer: -1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**5\/20 - 2*g**4\/3 + g**3\/2 + g**2 + 20*g. Let z be i(10). Does 29 divide z*(5\/2 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, 2, 4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 522 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 7*v - 1. Let k be x(7). Let j be k - (11\/(-1) - -1). Let w = 15455 - 15454. Solve 0 = 3*m + 5*p - 14, -4*m - 4*p - w + j = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-38)\/(-10) + -4)\/(8\/(-10)). Let l be (-112)\/20 + 36\/6. Sort l, 4\/11, b, -0.4 in descending order.\nAnswer: l, 4\/11, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -z - 6, -z + 0*k - k = -2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2369 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2902*i**5\/5 + 187*i**2\/2 - 3*i - 2175. Find the second derivative of k(w) wrt w.\nAnswer: 34824*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 2*h**2 - 3*h + 2. Let a be f(0). List the prime factors of -14*(-113)\/4 - a\/(-4).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00687 + -2468.156086\nAnswer: -2468.149216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354897.\nAnswer: 3, 47, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*p - 1140 = -196*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 44. Let d = a - -11. Let c = d + 6. Which is greater: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10)*(-4355)\/67.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - 0 - (-44)\/32. Let g = 8 - 8.3. Let f = g + 0.7. What is the closest to 0 in t, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 9:23 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -79. Let o = r - 54. Calculate the remainder when 29 is divided by (-3)\/4*o*(-12)\/(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-4)\/(-5))*-6. Suppose -592 = -r*g + 773. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 13.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - s**3 - 3*s**2 - 3*s**2 + 5*s**2 + 14*s = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -256480 rounded to the nearest 1000?\nAnswer: -256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2468 = 105*q - 3560 + 1303. What is the greatest common divisor of 4491 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 47.082. Let q = -11.318 + m. Let y = q + 22.1. What is y rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1820904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4272 divided by 6?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*(-35)\/((-8820)\/(-48))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*(2 + (-1 + sqrt(288) + sqrt(288)*-3 - sqrt(288))*4))**2.\nAnswer: 2304*sqrt(2) + 165902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kszskkskykkzkssk. What is prob of picking 1 z and 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -1)*(-31 + 30). What are the prime factors of (-6)\/(y\/(-1)*6\/54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) 0.5 (c) 65708\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11\/(33\/369) + -6 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 38*w - 376. Let g be c(10). Solve 3*p + 3 = 0, 5 + 10 = g*l + p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 q when three letters picked without replacement from {o: 2, z: 1, q: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1879, 7, 2, 4, 0.\nAnswer: -1879, -2, 0, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/297? (a) 1 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -3*h - 2*z, 3*z - 2 = -3*h + 91. Is -1055*((-20)\/(-130) - 30\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 plus 0.085968531362?\nAnswer: -20.914031468638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 49305*s = -49310*s - 96, h = -12*s - 213 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 2\/(-7) + 42\/(-196). Let l = 38 - 24. Let m be (1\/5)\/(l\/35). Which is the third smallest value? (a) m (b) 5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1025 and -6926.924829.\nAnswer: -7951.924829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 + 52*m - 911. Let d be v(16). Is -849 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-9) + 1)*36. Let j = w + 54. Let x(o) = 2*o**2 - 18*o + 12. Let l be x(9). Calculate the greatest common factor of j and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 12 = -2*f, -2*b - 18 = -43*f + 44*f. What is the second biggest value in f, -6\/11, -5, 0.6?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = 4*u, -2*h - 15 = -5. Suppose 5*x - u*x = 15. Suppose 27 - 107 = -x*c. What is the highest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1616 and 217336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1510*s**4 + 1367 wrt s?\nAnswer: 6040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -333, -22082, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255, -1052, -2381, -4242, -6635, -9560, -13017?\nAnswer: -17006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10322*f**2 - 20643*f**2 + 10325*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**4 + 80*l**3 + 395*l**2 + 420*l - 900 = 0.\nAnswer: -6, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-6)\/216*6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8552325 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.227 rounded to 0 dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2. Let m = 194 + -192. Let i(t) = t**2 + 4 + 11*t**2 - 24*t**m. Calculate i(f(v)).\nAnswer: -12*v**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-5) + 343)*1. Let y = 609 - o. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 248*w**2. Let l(t) = -2*t**2 - 6*t. Let p(g) = g**2 + 4*g. Let r(m) = 4*l(m) + 6*p(m). Determine k(r(i)).\nAnswer: 992*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 + 0*k - k**2 - 4*k**3 + 229 + 3*k - k**3 + 0 to the form v + w*k**2 + l*k + t*k**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, p: 4, g: 1, o: 1, u: 1}. Give prob of picking 1 o and 2 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7116*a - 298873. Calculate t(-42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19379, 38767, 58153, 77537?\n\"Answer: -m**2 + 19391*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10754*z - 107545. Calculate c(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {j: 1, g: 1, s: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 34347256.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2283 + -2284. What is the biggest value in 1\/5, -6, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2\/3 - 24277264*d - 110509790123568 = 0.\nAnswer: -9103974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-3))\/(20\/30). Sort 5, z, -1 in increasing order.\nAnswer: -1, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.105 - -6.595. Let k = h - 6.739. Round k to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43712907 and 3381.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 302 - 302.4. What is the smallest value in -23, 3, g, -3?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*m = -31*m + 76*m - 280 for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 - 4*t**5 - t**5 + (t**4 + 4*t**2 - 4*t**2)*(-2*t + 5*t - 2*t) + (0*t**2 - 4*t**3 + 0*t**2)*(-2 + 2 - 2*t**2).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3293 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 6*u + 360 = 0. Suppose 0 = 7*t - 3*t - 8. Calculate the greatest common factor of u and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggbgggbgggggggbb. What is prob of picking 4 b?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1341628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45020.17l?\nAnswer: 45020170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -515 + 686. Suppose -s = -4*p - 15. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggdgggdgggdggg. Give prob of sequence dgg.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 4:41 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + k + 8 + 18 = -6*w + 30, w = -4*k - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/11 (b) 2 (c) 2\/9 (d) 1821\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 8*g - 6. What is the smallest common multiple of 4\/(-5)*(-20)\/1 and m(3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 21*h + 62. Calculate s(26).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5))**25\/(t*t*t**(-1))**(26\/9) assuming t is positive.\nAnswer: t**(-1151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/20 - 9\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203011252 (base 7) to base 3.\nAnswer: -211100211202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4 - 0)*0. Suppose -3*g = -2*t + 13, -2*g - 2*t + u = -8. Let v = 912382\/245 - 3724. Is v at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12024 rounded to the nearest 10?\nAnswer: 12020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4) + 1*33. Suppose 2*y - 5*d - j = 0, -5*y - 3*d = -0*d. Suppose -5*g + 43 = y. What is the greatest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - u - 3 = -0*u, -u + 1 = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 6843*o**2 - 6840*o.\nAnswer: -3*o*(o + 1)*(o + 2280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*o + 3 = 0, -5*b + 2*o + 1 = -6*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(175) + sqrt(175)*-2 + -3)*-5 - 4*(-1 + sqrt(175) + -3)))**2.\nAnswer: 300*sqrt(7) + 1075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.66127 weeks in seconds?\nAnswer: 35478336.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*j = -2, 4*y - 16 = -0*y + 4*j. Let a(p) = y*p - p**2 - 8*p - 2*p. Let x be ((-2)\/4)\/((-2)\/(-20)). Determine a(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2*r**2 + 2*r**2)*(3*r - 2*r + r) + 41*r + 6*r**3 + r**2 - 24*r - 5*r**3.\nAnswer: 5*r**3 + r**2 + 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 19895297 divided by 4\nAnswer: 19895297\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/(-6)*(-2)\/3. Let w = k - 3. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 7 (c) -9 (d) -1 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 2*b - 5. Let y(l) = l**2 + l - 6. What is 6*k(o) - 5*y(o)?\nAnswer: o**2 + 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000102024 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - -1. Let d = -11.18 + 11. Let q = d - -0.48. What is the smallest value in q, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 2 (c) 685\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 972, 2829, 5946, 10323?\nAnswer: 15960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -47. Let q be (c - 0)*-3 - -3. Solve q*d = 4*o + 2*d - 20, 4*o = d + 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100\/3 + 5\/3*o**2 + 5\/3*o = 0 for o.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 8*p - 9. Let l be r(9). Let o be l\/(2*2\/(-4)). Solve o*u = -u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -94.928 and -74.\nAnswer: 7024.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h = -5*w - 17*h - 2, 0 = 2*w - 4*h + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6 + (-1605)\/(-6). What is the common denominator of 7 - 3 - d\/99 and -55\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5861 is divided by 120?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w - 1. Let o be g(9). Let a = -2812\/21 + o. What is the nearest to 2 in a, -5, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from jmjememjmmjmjjjm.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 i, and 1 w when three letters picked without replacement from {a: 2, l: 2, u: 1, w: 1, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5924291.\nAnswer: 83, 137, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6014422?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m - 1. What is y(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1257154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(-2*c**2 + 2*c**2 - 2*c**2) + (8 + 9 + 6 + 2*c)*(16 - 12 - 143)*(c - 4*c + 2*c).\nAnswer: 280*c**2 + 3197*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1479429.\nAnswer: 3, 7, 23, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 84*b**2 + 6*b + 254. Let x be k(-42). Solve 5*g - 9 = x*d - 6*d, -3*g = d - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 39.82859 millimeters?\nAnswer: 0.03982859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64159 or -64627?\nAnswer: -64159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 7\/5, 0, 37, -0.5, 1.54 in ascending order.\nAnswer: -4\/5, -0.5, 0, 7\/5, 1.54, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d - 2853. Let q(b) = 3*b - 2833. Calculate 5*q(j) - 4*r(j).\nAnswer: -j - 2753","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 552 and 1242.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 23*c**6\/15 - 25*c**4\/4 - 53*c - 3. Find the third derivative of w(m) wrt m.\nAnswer: 1104*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129689, 129750, 129811?\nAnswer: 129872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g + 2738 = 36*g - 4*j, -3*g - j = -2743. Suppose 150*w - g = 149*w. What are the prime factors of w?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 11356538?\nAnswer: 124921918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(209) - 1*sqrt(209)))\/(sqrt(99)*-4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0557472 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -7) + 15 - (97 + 7 + -30) - -3\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Suppose -3*j = -m*j. Suppose 0*f**3 + 2*f**4 - 2*f**2 + f + 0*f**5 + j*f**3 - f**5 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, r: 1, v: 5, b: 5, y: 1}. What is prob of picking 1 b, 1 r, and 1 v?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-7))\/(2\/(2*2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1\/c*c*c*c)\/(c\/((c**(9\/2)\/c*c*c)\/c)))**1 assuming c is positive.\nAnswer: c**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*f = -2163, p = -2*f + 263 + 164. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 16*d**2 - 24*d - 24. Let x(a) be the third derivative of a**5\/60 - a**4\/24 - a**3\/6 + 11*a**2. Determine 24*x(p) - z(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.99 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 4, -8*i - 3*b + 104 = -3*i. Let r be -2 - (-8*2 - -2). Let x = r + -8. What is the lowest common multiple of i and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5833?\nAnswer: 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (66 + -9 + -5).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20008896 divided by -24.\nAnswer: 833704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243157429 rounded to the nearest ten thousand?\nAnswer: -1243160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1768 and -0.32.\nAnswer: -1768.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 + 19*j - 29. Determine o(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 8*d**5 + 2780*d**4 - 12668*d**3 + 1492*d**2 + 29604*d + 12672 = 0.\nAnswer: -352, -1, -1\/2, 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 {h: 7, v: 6, s: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/(-50)*(-5)\/(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3458820*w = 3458639*w + 8869 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.98 + 5. Let t = 0.0200001 - q. What is t rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(15)\/sqrt(5)*2) + -4.\nAnswer: -4 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 28.936*0.31\nAnswer: 8.97016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 - s**2 - 3*s**2)*((5 - 6 + 13)*(-s + 1 - 1) - 2*s + 2*s - s) as p + h*s**3 + w*s**2 + q*s and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-84))\/(5\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.6 and 261950184964.\nAnswer: 261950184969.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 5:01 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.70667 centuries in decades?\nAnswer: 227.0667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from {f: 4, a: 1, r: 8, k: 7}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6071869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -645 or -3232\/5?\nAnswer: -3232\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, b: 9}. Give prob of sequence cb.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p**(-2\/17))\/p))\/(p**1\/p)*p**(5\/4)\/(p**(-5\/3)*p*p))\/(((((p\/(p\/(p**6*p)))\/p)\/p)\/(p**7*p))\/(p*p**0)**13) assuming p is positive.\nAnswer: p**(3679\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -10*j - 19. Solve -18 = j*r - 3*r + 5*g, 4*r = -g + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/(-35))\/((-42)\/105).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 225, 174, 97, 0, -111, -230, -351, -468?\n\"Answer: w**3 - 19*w**2 - w + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 5*v - v)*(-v - v + 0*v) - 4 - 10*v**2 + 4 - v**2 + 3*v**2 - 3*v**2 + 6*v**2 - 2*v**2 - 17*v**2.\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, -3, 69, 231, 513?\n\"Answer: 5*v**3 - 23*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 2*n - 3. Let i be m(-4). Suppose 6 = -4*o - i*g + 14, -2*o + 4 = g. Suppose -12 = -o*p - p. Solve 0 = 5*t + p*l + 32, -t - 7 - 3 = 2*l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 5*j**2 + j. Let x be s(3). Let r = x - -10. Let u = 9 + r. Let l(o) = -o**3 + 4*o**2 + o + 1. Give l(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -16 - 11) + -24 + 0 + 7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 1, q: 5, b: 1, g: 2}. What is prob of sequence ab?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3286641.\nAnswer: 3, 101, 10847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007544661 rounded to 5 dps?\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 9097 = 4*u, 0 = 2*u + b - 2070 - 2461. Does 11 divide ((-1)\/2)\/((-9)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2204059 is divided by 193.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 332845.99677?\nAnswer: -332844.99677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -305 (base 12) in base 10?\nAnswer: -437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78209 = -140*f - 67709 for f.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5*v + 15 = -2*f, -f + 4*v = 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 - -88. Let p be -4 + ((-10)\/j)\/((-2)\/(-12)). Let z(v) = -v**3 + 8*v**2 + 18*v - 2. Is z(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 10:56 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2516, 5034, 7552, 10070, 12588?\n\"Answer: 2518*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -1) + (-52)\/(-2). What is the highest common divisor of 243 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2*t = -5*t - 3, 0 = -g + t + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/2 - 645*z**2 - 2574*z - 2572 = 0. What is z?\nAnswer: -1286, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12554 + -12554.2. Which is the closest to 14? (a) -5 (b) 1\/3 (c) 9\/5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 35*o**2 + 82*o - 87. Is f(-41) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1406 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + l - 75 = -3*l - 159 - 112, l + 472 = 5*p for p.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.1. Let b = 0.7 + -1.1. Sort i, b, 3\/4 in decreasing order.\nAnswer: 3\/4, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l - 41. Give u(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 + 0)*(-180)\/(-8). Let t be f\/(-42) - (-12)\/4. Let l = 17 + -16. Which is greater: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2617, 5236, 7855?\nAnswer: 10474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-20))\/4*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 12*p**2 + 18*p.\nAnswer: 2*p*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.6 - -8.6. Let a = -5.1 + 0.1. Suppose 6*p - 195 = -53*p - 6*p. What is the second smallest value in p, u, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)\/(sqrt(12) - -1*sqrt(588)))\/(1*sqrt(294) + (sqrt(216)\/sqrt(4))\/sqrt(9)))**2.\nAnswer: 7\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 5509?\nAnswer: 5507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:14 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmmddmwcrycddmcddr. What is prob of picking 1 m and 1 r?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 6*x. Let c be t(-5). Suppose -2*k + 6*k + 12 = 0, -11 = -4*v + c*k. Let n be v*4\/((-4)\/(-3)). Sort 4, 0, n in decreasing order.\nAnswer: 4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + -14 + 0\/2. Let s be ((-8)\/(-10))\/((-8)\/q). Suppose -s = -2*k - 0*k. Solve -w - 4 = 0, 4*w - 5 = -5*n - k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6836 - 0.0796. Let d = 1.6038622 - f. Round d to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-30)*(600\/(-35))\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*b = -15, z + 15 = -5*b - 0*b. Suppose z = -u - 270 + 1329. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 (base 7) in base 12?\nAnswer: -16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.1. Let z = 7 + -7. Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 18 + 5 + u**2 + 102*u**3 in the form f*u**3 + o + t*u + y*u**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 225660989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5041.4 - 5041. What is the closest to b in -8\/5, -2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 163 and 10?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**9\/211680 - i**7\/17640 - i**5\/20 + 3*i**2. Let c(q) be the third derivative of s(q). Suppose c(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*z**2 - 465*z + 465*z)*(6*z + 3*z - 5*z) - 3 - 2*z**3 + 3 as g*z**3 + p*z**2 + b + l*z and give g.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 75 and 0.3.\nAnswer: 75.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 p, and 1 m when four letters picked without replacement from {q: 2, m: 1, p: 4, v: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 58. Suppose l = -2*y + 2*u + 258, -3*y - 34 + 413 = 5*u. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 16. Let t be 2 - -33 - (6 + -10). Let n = -28 + t. Let s be d(n). Let h(r) = r**2 - 4*r - 2. Give h(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/2 + 63\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 2 - (-2 - 16). Let r be (-2)\/q + 18\/16. Calculate the highest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 514214 (base 6) to base 3\nAnswer: 2002102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1 + 0*s + 22*s**3 + 0*s - 23*s**3. Let a(w) = -96*w + 196*w + 2 + 5*w**3 - 9*w**3 - 100*w. Give 3*a(f) - 6*p(f).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(2\/7)*i)**(-5)*((i**(1\/3)\/i)\/i)\/i*i*i**(-11))**41 assuming i is positive.\nAnswer: i**(-25051\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3.96. Let m = 0.03 - l. Let f = m + -0.09. What is the smallest value in f, 0.1, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62796 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -729369396 divided by -553.\nAnswer: 1318932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b + 28*b - 14*b)*(-4 + 2 - 1)*(3 + 0 + 0)*(0 + 0 + b).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3196230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -187*d + 90. Suppose u = -2*o + 10, -15 + 1 = -5*u + 2*o. Let j be v(u). What is j rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2611420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 - 98. Suppose -46 = 6*w - g. What is the greatest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -128. Let z = 199 - m. Let s = z - 40. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 304*l**3 + 85*l**2 - 5*l - 26. Let y(o) = -306*o**3 - 72*o**2 + 4*o + 22. Give -5*f(k) - 6*y(k).\nAnswer: 316*k**3 + 7*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4507492450.\nAnswer: 2, 5, 5881, 15329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151445910 and 29150.\nAnswer: 5830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s = 8. Let x(d) = -d**3 - 5*d**2 - d + 3. Calculate the lowest common multiple of ((-10)\/s)\/(4\/16) and x(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2719*x - 236. What are the prime factors of p(-1)?\nAnswer: 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(241 - 2924 - 5232)*(-3*m**3 + 2 - 2).\nAnswer: -23745*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-544)\/(-18) - 12\/54. Suppose 39 = l - j. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r + 1006. Determine f(110).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + u**2 + u - 2. Let q be h(0). Let d = q - -17. Suppose d = v - 11. Calculate the remainder when 77 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 488 and 210654960.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/6*2*27. Let s = -289 - z. Let n = s + 158. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 25. Let a be r(13). Solve 0 = -2*o + a - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -240 + 253. What is the remainder when 26 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 17*v - 341. Let n(f) = -f**2 + 1. Let u(q) = m(q) + 4*n(q). What is the first derivative of u(l) wrt l?\nAnswer: -2*l + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3061*l - 298. Is z(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.717916 to one decimal place.\nAnswer: -91.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n**3 + 3*n**2 + 3*n**2 + 20*n**3 + 3*n**3 wrt n.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(-7 + 1 + 4) - 1 + 0 + 3)*(2429*j + 184*j**3 - 2429*j).\nAnswer: 736*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18233 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7881309 a multiple of 1594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 288, 382, 420, 384, 256?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a**3 - 3 + 3 - 31*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 626*i + i**3 - 626*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -552.213 to the nearest integer.\nAnswer: -552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 0) + (-9 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 104975?\nAnswer: -104977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(104) + sqrt(104) + sqrt(104) + 1*(sqrt(104) + sqrt(104)*1))*-2)\/((sqrt(64) - -2*sqrt(64)*-3)\/(-2*2*sqrt(8))).\nAnswer: -8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*j - 211 - 134 = 61*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 24. Let z(r) = -2*r + 14. Let x be z(-15). Suppose 4*d + d = -m - w, x = 3*m - 5*d. Solve p + m = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**3\/3 - q**2 + 9*q - 1090. Suppose -3*d - d = -4*v + 40, -2*d + 10 = 4*v. Give y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-9) + (-2)\/3. Suppose 4*m - 18 - 10 = n. Let b(k) = -k**2 + 78*k + 63014. What is the remainder when b(293) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nznc when four letters picked without replacement from ncnzttn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8.37 and 7266556568.\nAnswer: 7266556559.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 4, 106\/365.\nAnswer: -4\/7, 106\/365, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/9*0)\/(-2). Suppose 7*z + 433 - 2064 = o. Let d = 554 + z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)\/r)\/r**(-2))\/(r**0)**(2\/23) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) 2 (c) 2\/29 (d) -5 (e) 13.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-13) - (-3231)\/(-39). Let m = x + 97. Suppose 32 = 2*j - m. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*d - 70*d + 2 + 0 + 3*d + 2*d - 3*d + (-d - 3*d + 6*d)*(-2 + 0 + 0) - 2*d + 4 - 4.\nAnswer: -8*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 h, and 1 o when three letters picked without replacement from {h: 2, o: 1, l: 3, z: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62600658.\nAnswer: 2, 3, 367, 28429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2848*r**2. Let m(t) = -1094*t. Calculate m(v(n)).\nAnswer: 3115712*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 4*t + 9. Let d be u(5). Let z = 25 + -15. Suppose d*h = 5*j - z - 164, -j + 5*h + 39 = 0. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9152069 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -60, -96, -132?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, g: 12}. Give prob of picking 3 g.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2615484 rounded to 3 dps?\nAnswer: 2.262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-2)*(-44)\/(-4400)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*l + 32, 2*x + 5*l = 33 - 2. Do x and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.169?\nAnswer: 0.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3041952*d - 3041952*d - 989*d**3.\nAnswer: -989*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 9*o**2 + 7*o + 5. Let z be v(-8). Suppose z - 1 = 3*c. What is the units digit of (-4*(-4)\/8)\/c*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110101010111011001 (base 2) in base 5?\nAnswer: -1412021312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/8432 and 45\/8.\nAnswer: 8432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(((n**(-6)\/n*n)\/n)\/n*n))\/n)\/(n*n**(2\/5)))**(1\/17))**(-20) assuming n is positive.\nAnswer: n**(-112\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2699020521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 103, -3, -726 in descending order.\nAnswer: 103, 83, -3, -726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/16830 and -17\/139920.\nAnswer: 7135920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 272984 and 27920.\nAnswer: 952714160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4853901263\/434 - 11184132. Let q = -684\/31 - h. Find the common denominator of 101\/22 and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 25. Suppose -f*n + 140 = -3*n. Suppose n = 3*x - 52. What is the smallest common multiple of x and 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 59*v + 7. What is the remainder when 268 is divided by b(-20)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**4 + 29*n**3 - 36*n**2 + 3*n - 3. Let b(x) = -4*x**4 - 28*x**3 + 36*x**2 - 4*x + 4. Let c(u) = -3*b(u) - 4*q(u). Factor c(h).\nAnswer: -4*h**2*(h - 1)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let r(i) = -4*i**2 + 6. Calculate l(r(c)).\nAnswer: 4*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -464 - -886. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Let h(b) be the third derivative of -b**5\/60 - b**4\/8 + b**3\/2 + b**2 + 9. Let m(r) = 2*r**2 + 5*r - 5. Determine y*m(l) + 5*h(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17076107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58149 (base 11) to base 10.\nAnswer: -84027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44105, 76002, 107895, 139784, 171669, 203550?\nAnswer: 235427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/((-4)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -4810884?\nAnswer: -1\/1202721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 979*z**2 - 17*z - 14. Let g(f) = -979*f**2 + 21*f + 17. Give 5*g(y) + 6*t(y).\nAnswer: 979*y**2 + 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 13*c**2 + 0*c**2 + (-31 + 31 + 4*c)*(9*c + 41 - 41) - 3 + 3 - 2*c**2.\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 284 + -286. Is s <= -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 170 + -82. Calculate the remainder when t is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/((15714\/(-45))\/(-9))?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11014506 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: Solve -381*d = -313*d + 94 + 246 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00933549 to 5 dps.\nAnswer: -0.00934","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 7*o**2 - 5*o + 6. Let w be i(-6). Suppose h = -w*h + 9. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Suppose 120 = 4*k - k. Suppose -i + 5*i = k. What is the smallest common multiple of j and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66437*w**2 - 50*w**3 - 66437*w**2.\nAnswer: -50*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/6431 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050238?\nAnswer: 2, 7, 75017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14090 + -14051. Suppose 68 = 5*a - 127. What is the greatest common factor of i and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Suppose 4*m = 5*a + 7, -j*a + 3 = -0*a. Find the first derivative of -4 + m + 2*d - 6*d wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 17 = 1. Let n = 5.7 - 6. What is the biggest value in a, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 4873 - 1438 + 2725 = 0. Calculate the lowest common multiple of 11 and t.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1889886, -1889882, -1889876, -1889868?\nAnswer: -1889858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*l**2 + 0 - 50*l.\nAnswer: 2*l*(l - 75)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12434640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 413 - -2033. Suppose 2*x = u - 560. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzdffpffjppzd. What is prob of picking 1 d and 1 z?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueueee. What is prob of picking 1 e and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:18 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103\/21 + -39\/7. Put h, 3\/8, -2\/11 in descending order.\nAnswer: 3\/8, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1499\/2 - -728. Calculate the common denominator of m and -79\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 672156696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccckccccckckcckcckc. What is prob of sequence ck?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + c - 2, 5*o - 3*c - 6 = -2*c. Suppose -4 = w - 2*w, 434 = o*v + 2*w. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - y + 2. Let o(m) = -3*m**2 + 7*m + 2. Let z(j) = 2*j**2 - 6*j - 1. Let k(x) = 4*o(x) + 5*z(x). Calculate -3*a(q) + 2*k(q).\nAnswer: 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*b**3 - 20*b**3 + 28*b**3 + 56*b**3.\nAnswer: 104*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1366)\/8 - 30\/(-40). Calculate the remainder when r*((-24)\/15 - -1) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14284 = -4*s + 4*g, -17862 = 3*s - 8*s - 2*g. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s - 3. Let a(c) = -c**3 + 5*c**2 - 3*c + 1. Let r be a(4). Put -1, r, s in ascending order.\nAnswer: s, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4*x - 65674800*b**3*x**3 - 2*b*x**3 + 5481389*b*x - 2*x**3 + 2 wrt b?\nAnswer: -24*b**2*x - 394048800*b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 5:37 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (4 - (0 - -21)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 23 - 3, -3*q - 6 = 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g**2 + 18*g**2 - 32*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 309159398 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*-4)\/(((-61104)\/570)\/(-134))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 4?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.52412 and 0.2.\nAnswer: -0.304824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 7704?\nAnswer: 100152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.21 to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -666 (b) -0.14 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**4 - 3*v**4 + 2*v**4)*(-5 + 1 + 1)*(-2*v + 2*v + 2*v).\nAnswer: 24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*z**5 + 81*z**5 + 16*z**5 - 6*z**5 + 4*z**5 + 4*z**5 + (0*z - z + 0*z)*(2*z**4 - 4*z**4 + 0*z**4).\nAnswer: 49*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**6\/120 - 2*r**5\/15 + 3*r**4\/8 + 11*r**3\/6 - 6086*r**2. What is m(-8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-281)\/((-14545965)\/238))\/(9\/(-15)).\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 438 + 435 - 1322 + 449 + 0*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274612903.\nAnswer: 274612903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, -2\/3, 3, 76\/5, 101?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188640 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1195\/329 + 70\/47. Let l = -122 - -859\/7. Find the common denominator of t and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21207?\nAnswer: 3, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -423\nAnswer: 126.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 7*g**2 + 11*g + 14. Let u be n(-8). Let o be 13\/65 - 68\/u. Solve o*m - 4*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:22 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 2. Let w(x) = 5*x + 9*x - 5*x - 9. Suppose -106 = -5*g + 34. Suppose -2*b - g = 24. What is b*k(u) - 6*w(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.201 - -0.101. Which is smaller: h or 2.33?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((3\/(-3057))\/1). Let c = k + -624. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 103369611 = 3*w - 5*v, -103369614 = 4*w - 2*v. Let i = -17542404 - w. What is i rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 848691 and 765.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 285*j**3 - 1991*j**2 - 302*j + 1910. Determine g(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149 - 89. Suppose -v = -j - 3*j. Solve 4*i = -3*q + i + j, 0 = q - 2*i - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25057 - 3776 = 4*x - 5*k, 20 = -4*k. What are the prime factors of x?\nAnswer: 2, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-650)\/(-12) + (-2)\/12. Suppose -p = -2*y - y. What is the smallest common multiple of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/101 in -1582, 44\/9, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 252 - 74. Let j = -2089.1322751 - -2267.132288. Let l = j - m. What is l rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*k - 707933 - 1142870 = -486213. What are the prime factors of k?\nAnswer: 17, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.95365 + -0.04635. Let p = -0.26 - -10.26. Let m = 7 - p. What is the closest to 2 in m, -1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-525)\/84)\/((450\/20)\/(-9))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91713600 and 112320?\nAnswer: 1192276800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -325472*k**3 - 63914 wrt k?\nAnswer: -976416*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -156 + 159. What is the third derivative of -2*p**3 - 63*p**2 - 32*p**2 - 16*p**3 + 14*p**c wrt p?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**2 + 6*n - 14. Give x(4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1442681989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**6\/90 - 41*y**3\/6 - 20*y. Let i(f) be the second derivative of j(f). Let r(h) = -h**2 - 6*h + 6*h. Calculate r(i(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39513?\nAnswer: 3, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -1 (c) -70 (d) 0.03 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 + 2)*(2 + 1 - 2) + 5 + 0 - 2)*(19*f + 0*f - 4*f) in the form b*f + r and give b.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -4)\/(16\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4*68 + 4 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2498 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86 and -95.46?\nAnswer: 8209.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwvjjfoffofjjwffwwwo. What is prob of picking 2 o and 1 w?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -28\/93, 0.4, 3\/2, -2\/13, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -37\/11, -12\/5 in increasing order.\nAnswer: -37\/11, -12\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 - 2*t**3 + 2*t**3 + 0 + t**4 + 0 + (4 - 2 - 3)*(0*t**2 - t**4 + 0*t**2) - 3*t**4 - 6*t**3 + 6*t**3.\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 23142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142631?\nAnswer: 31, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9947843723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -0.4, -5, 10, -3, 2\/11 in increasing order.\nAnswer: -5, -3, -0.4, 2\/11, 2\/9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/48*-2)\/(55\/(-4) - -14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*x - 103141, -h + x = h - 68754. Suppose 153*p = 178*p - h. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*k = k - 6, 2*v = -2*k + 6. Let z(r) = 1. Let w(p) = 3*p. Calculate v*z(x) - w(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 635*w - 645*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 25 = -4*c, -c - 3*c - n - 5 = 0. Suppose -5*y = -c*y - 10. Suppose -2*z + 114 = 2*m - 6*z, -y*z = 5*m - 237. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 267313323 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*v + 45400360 - 2577360. Round v to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - (-3296)\/(-96))\/(4\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + d**2 + 4*d - d**4 + 1 - d. Let a(o) = 4*o**2 + 2*o - 2. Let p(g) = a(g) + 2*h(g). Determine b, given that p(b) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19310 and -4?\nAnswer: 77240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence je when two letters picked without replacement from {e: 4, f: 1, j: 1, b: 7, q: 1, u: 4}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.198 - 15.65. Let n = i + -3.3. Let j = 4.3 - n. What is j rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x + 6. Let b(l) = -l + 6. Suppose 3*a + 2*f - 5*f = 18, 2*f = -2. Give a*b(q) - 4*h(q).\nAnswer: -q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74700703 is divided by 775.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3)\/z)**(-4\/13)*(z**(-2\/13)*z)\/(z*z**1))**(-8\/7) assuming z is positive.\nAnswer: z**(232\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6022435 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5 + 111*o**4 - 849*o**3 - 3243*o**2 - 3480*o - 1200.\nAnswer: -3*(o - 20)**2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 117*n + 3091. Give k(-76).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2 + (2349\/3132)\/((-3)\/(-28)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 53*n + 75 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -1*(-5 - 2). Suppose -d*n + 37 - 12 = 0. Suppose -7*p + 2*p = 3*q - 25, -2*p = n*q + 9. Calculate the remainder when 15 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62585053?\nAnswer: 62585053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 4. Let d be q(-4). Suppose d = 5*g - 5*c + 25, 8 = 3*c - c. What is the remainder when 20 is divided by 27\/4 - g\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -3. Let g be ((-2)\/s - 1)*6. Let t be ((-24)\/(-9))\/((-2)\/g). Solve 0 = -2*u - t*z + 2, -4 = u - 3*z - 0*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3391456 divided by 111\nAnswer: -3391456\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(5 + sqrt(7)*1) + -4)*-6 - (-6*(sqrt(1008) + 1) + 4*3*sqrt(1008)))**2.\nAnswer: -12960*sqrt(7) + 34812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5486 + -1043. Suppose 0 = 2*l - x - b, -3*x = -3*l - x + 6667. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1010 + -42?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + (16 - (-20 - -32)) - 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61533 is divided by 2417.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - p**3 + 3 + 2*p**2 + 2*p**3 - 4*p. Let x be m(-5). Does 6 divide x + 2 + 18\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 204 + -208. Let n(a) = a + 9. What is n(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*k**3\/13 - 27688*k**2\/13 - 13685782*k\/13 + 3912484\/13.\nAnswer: -2*(k + 989)**2*(7*k - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -14065450.\nAnswer: -9\/14065450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.011 (b) 5 (c) -1\/2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -18*j**2 - 292*j - 68. Give g(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172275 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 37 - 2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 1 = 5*r + 30, 0 = 38*r + 475*g - 479*g + 62 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1544401 and -613.1788.\nAnswer: -1545014.1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 180\/2 + (-3 - -3). Suppose -3*b - 4*n + 651 = 0, -344*b + 345*b - 207 = -3*n. Calculate the highest common divisor of p and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3 + 690*s**2 - 40800*s + 720000 = 0. Calculate s.\nAnswer: 40, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2068, -1983, -1898, -1813, -1728?\n\"Answer: 85*s - 2153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1745 (base 8) to base 16.\nAnswer: 3e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**3\/3 + 2*m. Let x(k) be the third derivative of -k**4\/24 - 6*k**2. Determine q(x(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -3) + (-3 - -10 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2788.5 + -3243. Round t to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -172751013 - 2?\nAnswer: -172751015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 15 = -0*f. Suppose f*l - 73 = 197. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119919 is divided by 436.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Suppose -5*r + 2*r = h. Suppose -3*a = -5*a + 10. Sort -5, a, r in decreasing order.\nAnswer: a, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29550.094259 + 30974.94086. Let g = o - 1417.9467. Let n = -6.9 + g. What is n rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 7*z - 5*z. Let c = 53 + z. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 1.3. What is the nearest to d in -6, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4\/7, -1\/8, 0.4 in ascending order.\nAnswer: -4, -1\/8, 0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9574741?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) 5 (c) 0.18 (d) 1117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-8)\/(304\/(-19)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9010\/91 not equal to -100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 20 = 18*n. Let y = n + -5. Let m be ((-12)\/y)\/((-4)\/(-12)). Which is greater: 0.4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 127435667, 127435670, 127435673, 127435676, 127435679, 127435682?\n\"Answer: 3*k + 127435664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**7\/5040 + o**6\/180 - o**5\/60 + o**2. Let t(c) be the third derivative of j(c). Suppose 262*n = -276 + 1848. What is t(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 - 15 = -3*n. Calculate the greatest common divisor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-5)*((-10080)\/108)\/28\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = w - 6 + 2, 0 = -z - 5. Let x(s) = -8*s**3 + s**2 - s - 1. Let l be x(w). Let t be 2\/((-3)\/l - 0). Let n(p) = -p**2 - 8*p - 7. Determine n(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 2*u = -6, -5*y + 24*u + 4 = 23*u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.55672419 less than -0.8321?\nAnswer: -13.38882419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -377, -458, -589, -770, -1001, -1282, -1613?\nAnswer: -1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 46 = -3*u + 36, 5*u = 3*x + 136. Suppose -5*j = -5*z - 436 + u, 2*j - 149 = 5*z. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((18 - 17) + -3 + 9) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1381 * -2419\nAnswer: 3340639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2 + 4918*b + 83895 = 0. Calculate b.\nAnswer: -17, 4935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 318 and 6.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 131186 and -8912561.\nAnswer: -8781375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 357*d - 3206. Calculate u(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-113089 + 11*x + 113115 + 3*x)*(3 - 3 + x) as c*x**2 + p + k*x and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 32. Suppose 0 = -r*v + 8*v - 39. Suppose -v = -5*h + 72. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -179.852644 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - y. Let s(i) = -105*i**2 - 7*i. Let k(x) = 13*x**2 + x. Let v(m) = 49*k(m) + 6*s(m). Determine -6*d(l) - v(l).\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/9394749 and -27\/149123.\nAnswer: 9394749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*v - 190 = -40*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 16*v**2 + 32*v - 102. Let b(x) = 45*x**2 + 97*x - 305. Let o(g) = 6*b(g) - 17*h(g). Determine m, given that o(m) = 0.\nAnswer: 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 - 175 = 0. Suppose 3*u = 2*k + 192, 138 = -0*u + 2*u + 2*k. Suppose u + i = 4*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:45 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6537, 13078, 19619?\n\"Answer: 6541*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 660633?\nAnswer: 660633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4)*36\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 2*l**2 - 2*l**3 + (-5 + 1 + 1)*(-261*l + 261*l - 8*l**3) to b*l + x*l**2 + w + r*l**3 and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8011*t + 248536 - 31541 = -180323 - 75331 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 7252145 = 3192325. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 + 5*v**2 + 5*v - 5. Let p(x) = -x**3 + 2*x**2 + 2*x - 2. Suppose 4*a - 12 = -5*b, 0*b - 16 = -4*b. Give a*m(i) + 5*p(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = 0, -5*b + 3*b - 5*n - 408 = 0. Let f = 124 + b. Let l = 8415 - 8499. Is f bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 - 8\/110. Let j = k - 8\/11. Calculate the common denominator of j and 75\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*r - 39*r + 56. Solve -r*d = 10*d - 56 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/(z\/(z\/(z*((z*z*z**(8\/3)*z)\/z)\/z))))\/((z\/z**(2\/29))\/z**43) assuming z is positive.\nAnswer: z**(3950\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 12*t - 33. Let d be a(-12). Let r = d + 185. Let v = -96 + r. What is the highest common divisor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.5, 4, 0.04, -730, -0.4, -0.57, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/3, -1\/3, 11, 2.44, -2\/11, -37\/5, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 25. Let k be l(-17). Let g = k + 29. Sort 0, g, -4 in decreasing order.\nAnswer: g, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = p - 4, -2*p - w = -6. Suppose -3*b + 3*g = -36, b + p*g - 42 = -b. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229119 divided by 159.\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 47.4.\nAnswer: 48.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4037*y**3 + 3*y**2 - 3*y. Let o(j) = 28260*j**3 + 22*j**2 - 22*j. Calculate -6*o(p) + 44*w(p).\nAnswer: 8068*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + -122 - 4004\/(-28 + 0)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, e: 1, a: 4, m: 1, b: 1}. Give prob of picking 1 a and 1 h.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38435472 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -285.\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 13 = 3. Let w be (18\/(-60))\/(c\/(-4)). Solve w*p**2 + 1\/5 - 3\/5*p - 1\/5*p**3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 2*k + 20. Suppose 2*n = 5*i - 27 + 12, -2*n - 3 = -i. Calculate l(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 - 6 = 0. Let x = 2.01 + -1.51. What is the closest to -1 in v, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + c**2 - 3*c - 3. Suppose -5*r + 0*r = -l, 4*l - 3*r = 0. Suppose -x - 4 + 2 = l. Let q be j(x). Is q bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 11 = -25. Suppose 7*r = c*r - 174. Calculate the remainder when r is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2012 + 2012.4. Put -7\/4, 3\/5, z in descending order.\nAnswer: 3\/5, z, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6*1977\/(-24))\/(-3)*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((3 - (1 + (-9 - -7))) + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 7*t - 98. Let f be k(13). Let w be (-1)\/4*1 + (-5)\/f. Solve w = -4*c + 2*o, -4*c = -2*o + 3*o + 6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m. Let r(j) = -4*j - 2. Let k(d) = 9*d + 5. Let u(w) = -2*k(w) - 5*r(w). Determine z(u(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n + x = -6, 5*n - 24 = -3*x. Find p, given that -1\/4*p + 1\/4*p**n - 1\/4*p**2 + 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 0.2047?\nAnswer: -0.012282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 8*f**4\/13 + 62*f**3\/13 + 24*f**2\/13 - 410*f\/13 + 100\/13 = 0.\nAnswer: -5, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 26 = 7*i, 124*i = 4*u + 127*i + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/(sqrt(12) + -2*sqrt(300)) + (sqrt(72)*1)\/sqrt(6) + 4.\nAnswer: 16*sqrt(3)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1663*(1 - 13). Let d = -181051\/29934 - j. Calculate the common denominator of d and ((-285)\/12)\/((-6)\/(-4)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -72, -1, -29.361, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117\/2284 > -2\/265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 12*n + 1. Let z(h) = -h**3 - 5*h**2 - 4*h + 4. Let s be z(-4). Let x = 7 - s. Is k(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -7)\/(15\/(-45)). Let l = 202 + s. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*l = -34*l - 1400 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/13, -0.2, 2\/11, -5 in descending order.\nAnswer: 2\/11, -0.2, -3\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 48 = -2*p + 32, -3*z = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 370, 367, 364, 361, 358, 355?\n\"Answer: -3*g + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1570.2032 rounded to 0 dps?\nAnswer: -1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b07c1 (base 13) to base 7.\nAnswer: 43041145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41128 + -2?\nAnswer: 41126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t + 34. Let f be r(9). Suppose 0 = -3*b - 5*g + 119, -3*b + f = -g + 5*g. What is the greatest common factor of b and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5 = -l, -106*l - 5*q + 13 = -105*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**2 + 2126. Let c(h) = -313*h**2. Calculate c(w(m)).\nAnswer: -1252*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 302 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.0631 kilograms in micrograms?\nAnswer: 57063100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**6\/24 - m**5\/4 + 5*m**4\/8 - 5*m**3\/6 - 67*m**2. Factor v(o).\nAnswer: 5*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*m - 239 + 1380 = -1358 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*z**5 + 41*z**5 - 3*z**3 + 3*z**3 + 5*z**2 wrt z.\nAnswer: 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23? (a) 0.03 (b) 1\/3 (c) 0.97 (d) 0.2 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*p**2)*(p - 4 + 4) + (-19*p**2 - 13*p**2 + 9*p**2)*(-2*p + 4*p + 0*p) in the form b*p**3 + a*p + c*p**2 + o and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -6134944?\nAnswer: 30674720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - i**2 - 2*i - 3. Suppose 13*g + 41 = 80. Let j be (-3 + 0 + 4)*1. Let n be (1 - j) + 0 + (1 - g). Determine m(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 y when four letters picked without replacement from {p: 3, v: 3, y: 1, q: 1, g: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b*r**3*v**2 + 41478*b*r**2 - 11*b*r*v - b*r - b*v**2 - 408*b*v wrt r?\nAnswer: 18*b*r*v**2 + 82956*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/451656 and -11\/144?\nAnswer: 903312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - -0.85. Let n = 0.2607 - -0.3393. Suppose 17 = 3*b + m, -4*m = 4*b - 5*b - 16. What is the nearest to k in b, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8022, -15972, -23922, -31872?\n\"Answer: -7950*z - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 2*o**2 - 7*o - 5. What is g(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obb when three letters picked without replacement from qqoqbbbbbqqooqbqbq.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {h: 6, d: 2, i: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2*1\/(-4))\/((-10)\/(720\/414))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.15, -2, -1.39, 841, -1\/6, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 2*g - 1. Let z be (-48)\/(-22) + 2\/(-11). Let u be m(z). Let v be ((-86)\/(-16) + -4)*(-4)\/3. Do v and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, 61, -0.1, 5, -2\/13, -123, 4?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 143c - -40?\nAnswer: 147c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -605, -1200, -1793, -2384, -2973?\nAnswer: -3560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-4))\/(1897\/542)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 8*h + 8. Let w(d) = 2*d + 2. Let o(r) = -r - 1. Let b(m) = 5*o(m) + 3*w(m). Let g(y) = -5*b(y) + l(y). What is the derivative of g(j) wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6 - 26 = -4*n, -2*n + 10 = 5*y. Suppose 4*q - 20 = -y*q. Let z = -16 + 26. Solve z*l = q*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35, 107, 215, 353, 515?\n\"Answer: -f**3 + 24*f**2 + 7*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22725792 and 20.\nAnswer: 113628960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1897 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 3*f - 3. Let z be g(-2). Let v be (-13)\/(-143) + 225\/1155. Which is the closest to z? (a) 2 (b) 2\/283 (c) v (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*3750\/125?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.6 > 51238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 8*p - 9. Let n be h(-7). Let u be n - 3\/((-15)\/20). Suppose u*k + 3*k - 550 = 0. What is the greatest common factor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*w + 95 = 335 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*k - 63*k + 35*k)*(27 + 53 - 45)*(-k - k + 3*k).\nAnswer: -700*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2562 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -0.1, 0.2, 1\/3 in descending order.\nAnswer: 13, 1\/3, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -10 and 1395182 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/(-15))\/(-3*4\/(-6)). Put -3, 5, t in decreasing order.\nAnswer: 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -221638, -442739, -663828, -884899, -1105946, -1326963?\n\"Answer: r**3 - 221108*r - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pptphphpgiihf. Give prob of picking 1 i and 1 t.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83979.\nAnswer: 3, 7, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from occccccfffccccof. Give prob of picking 1 c and 1 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(567) + -4 + -2*sqrt(567)))**2.\nAnswer: 72*sqrt(7) + 583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5656.63175 + 5656. Let k = a - -0.643. What is k rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298087746 is divided by 393?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**19\/o)**(-3\/16))**(-13))**(-15\/2))**(22\/7) assuming o is positive.\nAnswer: o**(-57915\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-5)*1 + (-15 - -29).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0115 in 2\/19, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -79*g**7\/70 - g**6\/60 + 15*g**5\/4 - 15*g**2 - g. Find the third derivative of t(u) wrt u.\nAnswer: -5688*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q + 7 = -35*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04402 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26938, -26965, -27046, -27211, -27490?\nAnswer: -27913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 20. Let x(d) = -52*d + 43*d + j - 4. Let z(m) = -2*m**2. Determine z(x(u)).\nAnswer: -162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45269 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**1\/b)\/b*b)**(-42))**(-18))**16 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 347 + 49159?\nAnswer: 49506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.780385 + -0.3.\nAnswer: 12.480385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/((3\/36)\/((-25)\/(-75)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2336396 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 32 = -4*g, 0 = -3*g - t - 4*t + 24. Suppose 4*y - g = 0, -5*y + 2110 = 4*o - 1236. Suppose -27*r - o = -33*r. What are the prime factors of r?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 966 (b) -1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3604064 by 1.\nAnswer: -3604064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -11*a**5\/2 + 135*a**4\/2 - 271*a**3 + 399*a**2 - 455*a\/2 + 75\/2 = 0.\nAnswer: 3\/11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 3*i + 49 + 11, -2*a - 1485*i = -1483*i + 60 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12139a24 - -3?\nAnswer: 12139a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.078 and 0.2?\nAnswer: 0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6286446?\nAnswer: 2, 3, 29, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1005*d**2 - 2. Suppose -8*s = -3*s + 3*p - 22, -2*s = -4*p + 12. Suppose v - s*l = 3, -2*v + 8*l = 7*l. Is o(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -6 + -2 + 6 - 6) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137932380?\nAnswer: 2, 3, 5, 23, 33317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w**3 + 5*w**2 + w + 1. Let y(h) = h**3 + h - 1. Let r(j) = -c(j) + 6*y(j). Calculate the least common multiple of 2*4*(-9)\/(-6) and r(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/30 + 16*t**3\/3 - 1551*t**2. Let w(y) = 2*y**2. Calculate w(f(s)).\nAnswer: 8*s**4 + 256*s**2 + 2048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(170))\/(sqrt(120)\/sqrt(108) + sqrt(10)) - ((sqrt(612) - (sqrt(612) + 0)*5) + -2*sqrt(612)*3))**2.\nAnswer: 49572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*b + 59 + 42, 440 = 4*m + 2*b. Suppose 5*n - 14 = m. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2781018912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 b when four letters picked without replacement from {b: 4, t: 14}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c9138 (base 13) to base 8.\nAnswer: 2631476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4416 + 932 = 11*b + 915. Calculate the remainder when b is divided by 205.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 1127*u - 1123*u - 27, 0 = 9*f - u + 348 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 3 + 3)*(-80856803*b + 80856803*b - 73612*b**2 - 2) in the form x*b**2 + k + s*b**3 + n*b and give s.\nAnswer: -147224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.0683 (b) 9 (c) 3\/5 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 47*i + 13. Let a(c) = -2*c**2 + 6*c + 38. Let m be a(7). Is g(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + z + 1 = -3, 5*d = -5*z. Let r(x) = -5*x + 1. Let y be r(d). Suppose 10*i = 5*i, 4*i = j - y. Calculate the greatest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**2 - 13037160*j - 39111516 = 0.\nAnswer: -3, 3259293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63392199919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + u + 6 = -15, -5*j - 3*u - 28 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 4*k**2 - 3*k + 4. Let a = -7 - -4. Let x be y(a). Is (x\/1 - 2) + 46 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.1 + -0.1. Let x be (6\/22)\/(21\/(-14)). Which is the closest to 0.2? (a) -2\/5 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270131 is divided by 270127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 26*b**2 + 49*b + 77. Calculate s(-27).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*o + 2750 = 484*o - 17382 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540849 is divided by 171.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*r**3 + 9*r**3 + 3522 - 3523 - r**3.\nAnswer: 90*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2624 - -5.\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 640\/273 - 10\/273. Let s = 125\/26 - k. What is the common denominator of s and -51\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (4 + -3)\/((-19)\/95) - 27?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/9 + 24\/(-9). Let p be 1 + q + 4\/1. Suppose 0*j + 35 = 5*s - 5*j, p*s - 2 = 5*j. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 4*n**2 + 2*n - 2. Let x(g) = g**3 + 5*g**2 + g - 2. Let m(a) = 2*b(a) - 3*x(a). Calculate m(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 e, and 1 k when four letters picked without replacement from ekevvdkekv.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w - 20 = 0. Let v be 2\/w - (-185483)\/10220. Let i = v + 1\/1022. Find the common denominator of i and 9\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 576\/(-99) + (-2)\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**7\/231 + w**6\/55 - 3*w**5\/110 - 7*w**4\/66 + 2*w**3\/11 + 95*w. Find q, given that x(q) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-1 + (-4)\/(-3)). Is s not equal to 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k - 329. Let i be r(-24). Let l(w) = -2*w**3 - 30*w**2 + 13*w + 17. What is the units digit of l(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -3 - (1 + (-10)\/14). Put -1, s, 0.01 in descending order.\nAnswer: 0.01, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a - 5. Let p(g) = 5*g + 6. Let q(x) = -6*c(x) - 5*p(x). Let j(r) = -14*r**2. What is q(j(t))?\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18445182, 5, 0, -5, -1 in decreasing order.\nAnswer: 5, 0, -1, -5, -18445182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-10) - (-2)\/5. Suppose 0 = -b*q - 5*m + 22, -2*q + 2*m + 8 = 3*m. Calculate the remainder when 5 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/(1\/(-6)). Suppose 3*i = 3*m + 9, -4 = -2*i - m + a. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c + y - 214 = 0, 180 = 4*c + 3*y. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 8*h**2 + 7*h - 3. Let x be (-4 - -17)\/(((-20)\/8)\/(-5)). Suppose -3*q + 4 = -x. Suppose -3*f + 31 = q. Determine k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420, -2668, -6774, -12738, -20560, -30240, -41778?\nAnswer: -55174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/2516118 and -139\/17688?\nAnswer: 10064472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 99583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(1 - 2*r + 2*r + 2*r)*(77 + 84 - 29)*(-2*r + r + 2*r) to m*r**2 + k + a*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + w - 1 + (24 - 4 - 1)*(5*w - w + w) + 2*w - 5*w + 7*w.\nAnswer: 100*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/36*1656\/253.\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203407264?\nAnswer: 2, 127, 50051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 1, d: 2, s: 5}. What is prob of picking 1 s, 1 j, and 2 d?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 177, 0, 3, -5.\nAnswer: -5, 0, 3, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + m**2 - 4. Let a be x(0). Let c be 2*(a + 3)*2. Let p = 27 + c. What is the highest common divisor of p and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*a + 2024 = -66*a - 1416. Let k be 2*1\/4*8. Solve -u + a = k*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (50 - 51) + 29 + 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 160711.94*-9\nAnswer: -1446407.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -3 (c) 25448 (d) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**5 - s**4 + 1460*s**3 - 6123*s wrt s?\nAnswer: 40*s**3 - 12*s**2 + 8760*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1215 + -1214. What is the closest to r in -2\/5, 39, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2022, -4, -1085 in descending order.\nAnswer: 2022, 3, -4, -1085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**19)**(-2\/103)*(d\/d**(-2\/3))\/d*d**(-32)*d*d)**45 assuming d is positive.\nAnswer: d**(-137670\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 9343.\nAnswer: -22\/9343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(1\/2)*i*i*i*i\/i**(5\/3)*i**4\/i*i\/(i\/i**(1\/10)))**(-26\/5) assuming i is positive.\nAnswer: i**(-2704\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21384 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*f + 2 + 78*f**3 + 2*f**4 + 2*f**2 + 383*f - 6 - 191*f + 6 in the form p*f + a*f**4 + v*f**2 + x*f**3 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*l**2 - 3*l**2 - 260*l + 25*l + 29*l**2 - 4*l**2 wrt l?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0067 in 2\/7, -1\/6, 1\/3, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1. Let t(k) = 9*k + 4. Let x(f) = t(f) - u(f). Let h be x(-3). Let z = 11 - h. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2 - -3)) + 4 - -13\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57193230637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3403682, -3403505, -3403328, -3403151, -3402974, -3402797?\nAnswer: -3402620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1556*w + 305*w - 92618 = 15320 for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(12\/56))\/(((-2100)\/1260)\/(1*5)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 20 - 8 = 3*a, -5*a + 37 = 4*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111012 + -1210?\nAnswer: 1102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d4031 (base 14) to base 7.\nAnswer: -43524061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 206, 413, 620?\n\"Answer: 207*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 464699 - -163?\nAnswer: 46482c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z + 5*q + 33, -2*q = 4*z + 2. Solve 3*k + 29 = 4*i, -2*k = z + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 40*z**3 - 6*z - 39*z**3 + 2*z + 5. Let l be q(2). What is the greatest common factor of 35 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + 6 + -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2. Suppose h = 4*h - 21. Let m(p) = p**3 - 6*p**2 - 3*p - 15. Let n be m(h). Let w(a) = -15*a - n*a + 36*a - 11*a. Calculate w(y(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18946 + -26610. Let j = -5473 - n. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -259*w**3 + 13*w**2 + 78*w + 40. Let h(l) = l**2 + 6*l - 2. Let u(c) = 39*h(c) - 3*o(c). Differentiate u(v) with respect to v.\nAnswer: 2331*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6702379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/1396 and -29\/12.\nAnswer: 4188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 338*z**4 - 340*z**4 - 2*z**2 - 25*z**2 + 18*z wrt z.\nAnswer: -24*z**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v**2 + 7*v + 7. Let y(k) = -k**2 + k + 1. Let n(d) = -w(d) + 5*y(d). Let q be n(3). Suppose -2*b + 13 = -q. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 2. Let t(m) = 21*m**2 - 11. Let v(l) = 11*j(l) - 2*t(l). Let z(h) = 11*h. Determine z(v(s)).\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 183610 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n. Let w be o(-1). Let i(u) = 531999*u**2 + 5*u. Let g be i(w). What is g rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -1242*h + 1244*h + 20, -4*h = -2*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -5 - (-1 - (-2 + 5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10) + 594\/30. Let q = o + -17. Solve -2*c - 20 = q*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (9 - 10) - (1 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101783242.4 rounded to the nearest 10000?\nAnswer: 101780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62086923 + 62086923 - 255*a.\nAnswer: -255*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 964 by 1.\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 + 2.93. Let f = 180.742 + -178.742. Let w = 0.1 - 0.1. What is the nearest to w in o, 4\/7, f?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/(-50))\/(84\/(-840))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 - 2.8. Let s = 10.2 + -10. What is the nearest to 0.5 in g, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**4 - 253*k**3 + 31*k**2 + 117300 wrt k?\nAnswer: -4*k**3 - 759*k**2 + 62*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/2)\/(g**(2\/7)*g)*(g*g*g\/g**0*g)**(1\/14)*(g\/g**(-7)*g**8)\/(g**(-2))**23 assuming g is positive.\nAnswer: g**(127\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/11438532 and 91\/675.\nAnswer: 857889900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 - 6*q + 9. Let k(w) = -2*w**2 - 4*w + 6. Let z(x) = -6*k(x) + 4*l(x). Let h(s) be the third derivative of s**5\/12 + s**2. Calculate h(z(c)).\nAnswer: 80*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -1. Let l = h + 4. Which is greater: 0.3 or l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4229822.\nAnswer: 2, 239, 8849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 68070, -5, 3\/32 in decreasing order.\nAnswer: 68070, 3\/32, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*i + 49 + 152 = -100*i - 103*i + 6*j, 4*j + 34 = 2*i for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b - 990 = 0. Let w be (1*-1)\/(9*14\/(-2772)). Calculate the greatest common divisor of b and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 7*m - 43*m**2 - 42 - 20*m + 0*m + 7*m.\nAnswer: -43*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.009 - 0.341. Let t = 455 + -460. What is the nearest to y in 2\/15, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g. Let t(m) = -18*m. Calculate l(t(y)).\nAnswer: 180*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, q: 2}. What is prob of picking 3 a and 1 q?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-148)\/(-14) - (4230\/264 - 14\/616)\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 5)*(4*k**3 + 4*k**3 - 3*k**3) + 4*k + 2*k**3 - 4*k to the form y*k**2 + j*k + z + m*k**3 and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5 + 18*w**4 + 18*w**3 - 242*w**2 - 804*w - 720 = 0.\nAnswer: -5, -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1712448 + -839045. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from fmmqimiimm.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6975857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 9:00 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 2097, 5149, 9543, 15279, 22357?\nAnswer: 30777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3069, -6140, -9211, -12282?\nAnswer: -15353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 1:19 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m)**(-2\/11)*m\/m**(-1)*m*(m\/(m\/(m\/((m\/(m**(-3\/8)*m)*m*m)\/m)*m)))\/m*m assuming m is positive.\nAnswer: m**(255\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-2) - 234\/52. Let k = c + 33. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + q. Let d(o) = -5*o - 8. Let p(n) = d(n) + f(n). Suppose 17 = 2*u + 5*r, 5*r + 5 + 14 = 4*u. Calculate p(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1440, -1439, -1438, -1437, -1436, -1435?\n\"Answer: b - 1441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by 25?\nAnswer: 114\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6610335mg?\nAnswer: 0.0000000006610335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 3*a - 4. Let g be q(-3). Suppose -64*r + 123 = -61*r. Let y = r + g. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017371 rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1092\/117 + -16)*(-16)\/(-480).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 236 = -48*i + 135 - 783 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.315805 to four dps.\nAnswer: 0.3158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:23 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-8)*k**(-5)*((k\/(k**(-8)\/k))\/k)\/k**(-10) assuming k is positive.\nAnswer: k**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -165 and -154687240.\nAnswer: -154687405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90068 and 38092?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*w - 18, 19*w + 126 = -522*x + 526*x for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -8495.6, 38, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2 - 1\/2*a**3 + 0 - 1\/2*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v. Let k(d) = -6311*d. Calculate k(x(g)).\nAnswer: 12622*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*n - 3*n + 3*g, 3*n = 4*g - 16. Suppose -15 = -3*a, n = -m + 11*a - 9*a + 17. Suppose 28*k - m*k + 2 = 0. Put k, -5, -6 in decreasing order.\nAnswer: k, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -277 at least as big as -0.31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.046639 and 101.696793?\nAnswer: 101.743432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtoo when four letters picked without replacement from vovtoooooootvvvvotv?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -97.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 5. Let v be (k\/(-12))\/((-6)\/(-27)). Let s(o) = -o**3 - 4*o**2 - 19*o - 77. Let w be s(-4). Is w greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(11) + 1 + 3 - -4*-2*sqrt(1584).\nAnswer: -98*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -205*u**5 + 3*u**3 + 5*u**2 - 68100*u wrt u.\nAnswer: -4100*u**3 + 18*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22 - ((-68 - -32) + 36 + 101)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*n = -5*r + 21, -3*r + 4*n = -14. Let i be 1*(549\/r + -1). Let s = i - 3443\/38. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 263196514 and -1038.\nAnswer: 263195476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 - 312*p - 1460 = 0. Calculate p.\nAnswer: -73, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (4\/2)\/(17\/204*64)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631*q**2 + 840*q**2 - 36*q**2.\nAnswer: 1435*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*m = c, 5*m = -5*c + 15. Let r be (-10 - 0) + 1 + 1. What is the tens digit of 70\/c - r\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3062 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k. Suppose 4*j - 37 = -5*x, 0*x = -3*x + 2*j + 31. Let m(g) = -9 + x + g. What is s(m(q))?\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w + 1. Let n be k(3). Let u(v) = -v + 23. Let d be u(24). Let r be (-20 + -92)*d*(-2)\/(-2). Calculate the greatest common factor of n and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53431032430 - -5?\nAnswer: 53431032435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (1 - -1) - -2 - (34 + -39)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2393051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*n - 66670, 3*o = -4*n - 0*n + 40005. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2731547 divided by 1?\nAnswer: -2731547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 464344235?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + -3 + -1 - 1. Suppose o*q + 162 = 3*q. What is the remainder when 33 is divided by (2\/(-6))\/((-6)\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/((-144)\/(-420))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/3528 - 6\/72.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*a**4 - 178228*a**3 - 50892*a**2 + 178228*a + 50920 = 0. What is a?\nAnswer: -6365, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o + 6*o + 5*o. Let v(b) = 40*b. Give v(s(k)).\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from eeddeee.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -0.6, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -17*o - 37. Let s(p) = -4*p - 9. Let v(c) = -2*r(c) + 9*s(c). Let l be v(-4). Let y(m) = -m**3 - m + 1. Give y(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**3 - 8*n**2 - 12*n - 2. Determine v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279705709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (-6 - 8*-4). Let x be (-237)\/l - (-2 + 64\/28). Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*r - 2*r. Let n = 37 - r. Let t = n - 2. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.046 - 0.106. Let t = 4 - 5. Let y = 6 - 11. Which is the second smallest value? (a) t (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -0.3, -1\/4, 6\/49, 0.04?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 33*l + 82. What is the smallest common multiple of 2 and h(-25)?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 301*b - 5041. Let d be k(-18). Solve -5*w = -d + 1045 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.228887 to three dps.\nAnswer: 3.229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -43. Suppose -2*r + i = r. What is the third biggest value in -0.5, -7, 1\/8, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.1, 11, 1\/2, 5, 433?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a decade in months?\nAnswer: 2480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*u - 0*c + 30, 3*u - 5*c - 20 = 0. Let s be (u - 0)*(-4)\/(-10). What is the tens digit of ((-7)\/s)\/((-4)\/56)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 9) to base 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1362, 2771, 4180, 5589?\nAnswer: 6998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 8. Suppose 6*s = -4*s - 100. Let u be 25\/s + 3\/(-2). Put 3\/4, u, g in increasing order.\nAnswer: u, g, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(21\/210).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3117 * 0.4.\nAnswer: 0.52468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 239167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16163 - 59901. Let j = l + 10365940\/237. Calculate the common denominator of j and 53\/9.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5496, 43859, 147968, 350697, 684920, 1183511, 1879344, 2805293?\nAnswer: 3994232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21620?\nAnswer: 2, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.672 and -0.332.\nAnswer: 14.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 185*s**3 - 261*s**3 - 6*s - 1050*s**3 - 1144*s**3.\nAnswer: -2640*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 7*v**2 + 8*v + 5. Let s be r(8). Let u be (-9)\/(-21) - 204\/(-14). Suppose 10*p - u = 5*p. Solve -3*z + 18 = 4*l - 2*l, p*l + 11 = s*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1341, 22, -4\/9, 200.4 in decreasing order.\nAnswer: 200.4, 22, -4\/9, -1341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12*c**3 + 7*c**2 - 7. Let n(t) = -4*t**3 - 2*t**2 + 2. Give -21*n(i) - 6*q(i).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-16) - 1\/4. Solve i + y = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*h + 135*h + 5*j = -9, 4*j = -15*h + 40 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*o**2 - 17580*o + 17580*o.\nAnswer: 130*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by (2 + -3)\/((30\/(-25))\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192061981.\nAnswer: 192061981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 37. Let g be 6\/a + 54\/(-10). Let j be (g\/(-25))\/((-1)\/(-2)). Sort -0.2, j, -0.5 in ascending order.\nAnswer: -0.5, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -51411 * 0.5054\nAnswer: -25983.1194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2050 + -211002354?\nAnswer: -211004444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 25\/6, 15765 in descending order.\nAnswer: 15765, 25\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244150*m - 243408*m = 28938 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -20.805. Let n = -0.015 - g. What is n rounded to two decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - f - 4. Let g = -2 + f. Let t = 920.99 + -921. Is t bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -781*m + 245. Is f(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*l = -5*r + 201, -l + 5*r + 231 = 0. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -18. Suppose h*r - 24 = 2*r. Suppose -r*c - 4 = -6. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011186517 to four decimal places.\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75535241153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 b when four letters picked without replacement from pbexpee?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.1885 - 0.1885. Let p = 9.93 + -10. What is the nearest to -3 in l, -2, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**5 - 387580*m**4 - 19*m**2 - 3*m + 16?\nAnswer: 60*m**2 - 9301920*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**3\/6 - 11139*d. Let l(b) = -12953*b + 2. What is l(i(r))?\nAnswer: 12953*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -838.535 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23535 + 34124. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1.0846.\nAnswer: 2.9154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**2*n*v + 283*d**2*v**3 - d*n*v + 219*d*v**3 + 3*n - v wrt d.\nAnswer: 12*n*v + 566*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1355\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 4*u - 3. Let d = 3 + 1. Let w(t) = 15 + 20*t + 7*t**2 - 3*t**2 + t**2. Let r(p) = d*w(p) + 22*i(p). Determine b so that r(b) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let o(t) = 2*t - 1. Let g be o(2). Let h be (-12)\/8*(-4)\/g. Let f(c) = 0*c + 0*c - h*c**2. Determine f(j(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 33*f - 25. Let r = 50 - 25. Calculate the remainder when t(3) is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(78)\/sqrt(3))\/sqrt(2).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/27)\/((-6)\/(-18)))\/(-2).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31281.01099256 + -31281. Let f = 19 - 18.989. Let q = f - t. What is q rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1193cc (base 13) to base 6.\nAnswer: -13001502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 + 111680*y**2\/9 - 446752*y\/9.\nAnswer: 2*y*(y - 4)*(y + 55844)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39335590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*m - 198*m = 5*n - 23, 32 = -3*m + 5*n for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 + 2*a. Determine w(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-1*(-6 - -4). Let b be 4 - (2 - (l + -4)\/2). Let h be (-4)\/(48\/(-114)) + (-1)\/b. Let o(c) = c - 3. What is o(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 21, 42, 81, 144?\n\"Answer: k**3 + 2*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 33.17.\nAnswer: -33.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-22)\/((-1694)\/165))*(0 - 7). Which is greater: -2\/3419 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*r**3 - 28*r**3 - 29*r**3 + 22*r**2 - 9*r - 13*r**3 to s*r**2 + g + l*r**3 + z*r and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 168220 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24245 + 1541531?\nAnswer: 1513242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116412 and 267?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**6\/30 + i**4\/4 - i + 1. Let d(v) be the first derivative of s(v). Find the third derivative of d(z) wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120.292215 + -53.051214. Let s = 1.241661 - j. Let q = 66 + s. What is q rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84460.\nAnswer: 2, 5, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 171 + -171. Solve 4*z - r = 2, 4*z + q*z + 5*r = -10 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 271384468?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-9))\/((-9)\/15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 5*w + 6, -2*w + 3*u - 8*u = -24. Let g = 6 - 5.6. Let z = 11.5 - 11. Which is the third biggest value? (a) z (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.8739558 minutes in weeks?\nAnswer: 0.00187241625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 135 - 89 = 0. Calculate the highest common divisor of j and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 r when three letters picked without replacement from {f: 2, r: 3, g: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(9246\/6767)*-6\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -5. Let q = -322 + 322.4. Which is the second smallest value? (a) q (b) -10 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + (-82)\/(-4))*2. Suppose m + 12 - q = 0. Suppose i + 11 - m = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((21\/(-3))\/(-28))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 + 44*d**2 - 30*d + 45. Is b(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (95 - 59 - 34)\/((-1)\/((-10)\/(-4))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.3? (a) 2\/7 (b) -2 (c) 483 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(78) + -1*sqrt(78))*-4)\/(sqrt(66)\/(sqrt(33)\/sqrt(3))*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (114 - 111) + 1 + 0 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b + 71. Let r be y(-6). Suppose r*z = -5*h + 1250, z + 4*h + 518 = 3*z. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 4*p + 6. Suppose -q + 28 + 11 = 0. Suppose 4*g - 1 = q. Calculate the remainder when r(6) is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*565\/904.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2264, 0.41.\nAnswer: -1\/3, 0.41, 2264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.689 + 2.7. What is z rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -49, -79, -113, -151, -193, -239, -289?\n\"Answer: -2*z**2 - 24*z - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5*((-7616)\/(-392) + (-4)\/(-7))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**4 + 26 + 2*t - 7*t**2 + 26*t**4 - 7*t**4 - 9*t**4 - 5*t**4 to the form i*t**3 + z + u*t + k*t**2 + v*t**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -387972363, -387972365, -387972367, -387972369?\nAnswer: -387972371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37897 is divided by 566.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -252966*l**2 + 252966*l**2 - 12*l**3 - l + 3*l**4 + 7 as t*l**3 + s*l**4 + c*l + k + q*l**2 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 14 = -28. Let n be 0 - 2*(-3)\/h. What is the second smallest value in 3, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, 5, 2\/9 in increasing order.\nAnswer: 2\/9, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = 5*c. Suppose c*q - 5 + 1 = 0. Solve q*n - 3 - 7 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 798*n**4 - 2*n + 802*n**4 + 805*n**4 + 25*n**2 + 2 - 2*n**3 - 2402*n**4 to the form t + p*n**4 + i*n + h*n**3 + g*n**2 and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 971 - 76707\/79. Sort -2\/15, 0, c in ascending order.\nAnswer: -2\/15, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7035.9 and -0.3.\nAnswer: -2110.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102 (base 4) to base 7.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/2 + 15*z**3\/2 - 3*z**2\/2 - 51*z\/2 + 18.\nAnswer: 3*(z - 1)**2*(z + 3)*(z + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 456 + 63. Suppose -m = -r - 154, -2*m + r = -c + 208. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**4\/2 + 4*w**3\/3 - 3. What is the third derivative of g(c) wrt c?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 6. Let d be 6*1 - (6 + -5). Let h be b(d). What is the units digit of (-2 - -2)\/h + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 32 and 420.\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29357029 a multiple of 1376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 8*z + 29*z**2 - 2*z + 20*z - 2 - 8*z as f + q*z + h*z**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -h, -371*f - 15 = -373*f + 3*h. Suppose -4*z = 2*j - 98 + 368, 3*z - j + 200 = 0. Which is greater: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3914 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 10*u - 2592. What is the remainder when u is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-five quarters of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, x: 1, e: 1, m: 1}. Give prob of picking 1 m and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155710328 to the nearest integer?\nAnswer: 12478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((80*-7)\/4)\/(-4 + 3) and 154.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 - 45. Let w = q - 47. Suppose -5*f = -x - 402, 2*f + w*f - 310 = -5*x. 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: Solve 0 = 5*p + 4*a + 1, -3*p + 50*a + 2 = 52*a + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*q**4 + 212185*q**3 - q - 29633064 wrt q?\nAnswer: -20*q**3 + 636555*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 60\/61 (c) 2 (d) -3 (e) 1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/20)\/(7\/((-224)\/6))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 2048691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*5.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 375391379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 7 - -3) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3111, -18114, -58857, -138216, -269067, -464286, -736749?\nAnswer: -1099332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -298 - -310. Let k be (-5 + 2)\/(-2 - (-15)\/x). Solve 7*o - k*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 25*c**2 - 25*c - 33. Determine t(26).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93574 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8308 is divided by 67.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/h**(3\/7))\/(h**(-3)\/h))**(-10))**(-1\/50))**5 assuming h is positive.\nAnswer: h**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/92, 1 in descending order.\nAnswer: 3, 1, 1\/92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 13 + 211 = 0. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413005 (base 6) in base 4?\nAnswer: -103131131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.5334181 + 18.9334134. Let t = -8.6 - o. Round t to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*-0.45\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 1:03 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 1996 + 1975 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*f - 49560 = 307*f + 121*f - f for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -86\/3, -2\/13, -3, 4\/5?\nAnswer: -86\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1575 is divided by 1392.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 4\/(8\/(-1490)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 - 52904149*t\/2 - 79356228.\nAnswer: (t - 52904152)*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 2*b**2 - 9*b - 77. What are the prime factors of t(-6)?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 26922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 170.8 - 171. Let v = -24 - -24.44. Let p = v - 0.54. What is the second biggest value in 3, y, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, 26, 24, 22, 20?\n\"Answer: -2*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:33 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*j + 2*j. Let t(b) = 7*b + 6. Let l be t(j). Let w = -23 - l. What is the remainder when 36 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a**2 + 10*a + 7. Calculate j(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -4, -15, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 7) + 3 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -3*h - 3*r + 13, -18 = 2*h + 4*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-12)*88\/(-33)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**3*k)**(-4\/7))**(2\/23) assuming k is positive.\nAnswer: k**(-40\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-10 - -94) - 77\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 144.48 and -0.0552?\nAnswer: -7.975296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -4. Calculate the greatest common divisor of r and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*g - 144*g + 60*g - 1 + 43*g.\nAnswer: 16*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/1323300 and 151\/57034230?\nAnswer: 570342300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-96 - -3)*3\/(-1). Suppose 5*x - 2*p = b, x = -x - 3*p + 104. Calculate the remainder when x is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - -6*sqrt(117)*2)**2 + (sqrt(117) - ((-5*(sqrt(117) + 2 - sqrt(117)))**2 - sqrt(117))).\nAnswer: 6*sqrt(13) + 19673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 15. Let k(n) = n - 2. Let r be k(-2). Put 2, r, b in ascending order.\nAnswer: r, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*r + 2, 4 = -5*r - 0*g - 3*g. Let c = 3 + 2. Put r, 2, c in increasing order.\nAnswer: r, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/4)\/(x*((x*x*x**(-2\/21))\/x)\/x)*(x**(1\/4))**(15\/2)*(x**(-5)*x\/x**(-1\/3))\/((x*x**(6\/11)\/x)\/x*x\/(((x**5*x)\/x)\/x)) assuming x is positive.\nAnswer: x**(313\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2587)\/(-4) + 18\/72 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**5 + 335*x**4 + 13505*x**3 + 157885*x**2 + 701100*x + 873180 = 0. What is x?\nAnswer: -11, -9, -2, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1500065770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2609117 - 195161 = 7*f - j, 3*j = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 55\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 1, c: 1, s: 2, f: 1}. Give prob of sequence xdf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7662000 rounded to the nearest 10000?\nAnswer: -7660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*1.7.\nAnswer: 91.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5876, 6079, 6424, 6911, 7540, 8311?\n\"Answer: 71*y**2 - 10*y + 5815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 2 + -3*1. Let i(g) be the third derivative of 1\/6*g**3 + 1\/120*g**6 + 0*g + 11*g**2 - 1\/24*g**4 + 0 + 1\/60*g**5. What is i(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129076331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3263.9*22.3.\nAnswer: -72784.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30059401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*m + 200*m - 14520 = -320*m for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**2 + 69*l - 40. Let a be p(-9). Let n(r) = r**3 + 13*r**2 + 5*r - 3. Calculate n(a).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.6, -0.4, 0.5, 711, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/9700 and 163\/512160?\nAnswer: 2560800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -457, -1059, -1669, -2287?\n\"Answer: -4*s**2 - 590*s + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/54486406 or 1?\nAnswer: -1\/54486406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 6116*g**2 - 55368*g.\nAnswer: 4*g*(g - 9)*(g + 1538)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599821753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(23\/26 + -1). Let t be h\/(-39)*(69\/(-3) + 2). Suppose -3*l + 19 = -23. Calculate the highest common factor of t and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -98*o - 8497. Calculate the remainder when 3204 is divided by g(-87).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000343684 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.16705 - -17.93705. Which is greater: -1\/9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16213, -32358, -48455, -64510, -80529, -96518, -112483?\n\"Answer: -i**3 + 30*i**2 - 16228*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1138*n**2 + 18*n - 5. Let f(r) = 1138*r**2 + 26*r - 6. Give -2*f(b) + 3*u(b).\nAnswer: 1138*b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73838.061 + 73792. Let m = -452.6 + 498.6. Let o = u + m. Round o to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**4 - 1504*a**3 + 4536*a**2 - 4544*a + 1516 = 0.\nAnswer: -379, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6840*c + 34194. Give l(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.723 - 0.077. What is h rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 + 75 + 57 = 90*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*t - 5*w + 4228770 = -115*t, 4*t + 4*w - 2114376 = 0. Round t to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g**2 + 13*g + 2. Let x(q) = 9*q**2 + 25*q + 3. Let r(h) = 11*u(h) - 6*x(h). Let v be r(5). Let b = v + 4. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 + 0*l**4 - 2*l**4)*((1 + 2 - 1)*(-l - 2*l + 2*l) - 5*l + 10*l - 7 - 7*l) + (-l**2 + l**2 - 2*l**3)*(-3*l**2 + 3*l**2 - 4*l**2).\nAnswer: 16*l**5 + 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) 1 (b) 1\/4 (c) -36 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-5))\/((-54)\/1035)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112\/40 + 422704\/145?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 78. Let h(m) = -5*m + 16. Let a(s) = -16*s + 56. Let n(y) = -4*a(y) + 14*h(y). Calculate p(n(c)).\nAnswer: 12*c + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 19, -6.\nAnswer: -6, -5, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 6*v**2 - 15*v - 4. Suppose -32*y + 70 = -186. Determine q(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(-4)\/((-8)\/(-3)). Let j(d) = -3*d**2 + d - 6. Let h(t) = -7*t**2 + t - 12. Let n(r) = k*j(r) + 4*h(r). Determine n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27*-933\nAnswer: 25191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015356584?\nAnswer: 2, 11, 29, 397867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 632, 1147, 1664, 2183, 2704, 3227, 3752?\n\"Answer: v**2 + 512*v + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 193 - 32 = 0. What is the remainder when h is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (-45 - -12)) + -2 + 4 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 725568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 292\/15 - 1324\/105. Find the common denominator of 2\/4 - 1*42 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 17, x: 2}. Give prob of picking 4 u.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qstqqqcs. Give prob of picking 1 s and 2 q.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((10\/4 - 0) + (-55 - -52))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 4*r + 53, 0 = 3*f + 3*r + 2*r - 35. What is the third derivative of -15*n**3 - 87*n + f*n**2 + 87*n wrt n?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -3, -4, -1, -4\/219?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/16? (a) 0.97 (b) -7 (c) 4 (d) 0.4 (e) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 31322?\nAnswer: -31312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -154, -1245, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3452, 3453, 3470, 3509, 3576, 3677, 3818, 4005?\nAnswer: 4244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2136 + 10?\nAnswer: 2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -827 + 833. Let m(n) = -n**2 - n. Let z(w) = 3*w**2 + 8*w + 6. Let j(l) = -4*m(l) - z(l). Calculate the least common multiple of j(6) and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*k**2 + 78*k - 135*k + 90*k wrt k?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152, 329, 632, 1067, 1640?\nAnswer: 2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -569*j**3*w**3 - 55*j**3*w - 3*j**3 + 120*j**2*w - j**2 - 2*j + 53*w**3 wrt w?\nAnswer: -3414*j**3*w + 318*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-10))\/(140\/700)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/13)\/(r*r*r**(-2)))\/(r\/(r**(-22)\/r*r*r)*r*r**(2\/11)*r*r))**(2\/15) assuming r is positive.\nAnswer: r**(-7246\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 0.3. Let h = 5 + z. What is the biggest value in 0.2, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/279451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 2308?\nAnswer: 64624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*u - 15632 = 0, 0 = -0*q + 5*q - u - 19511. What is the remainder when q is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -678, -2776, -6294, -11232, -17590, -25368, -34566?\n\"Answer: -710*v**2 + 32*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3645095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5\/7 + 64*d**4\/7 + 122*d**3\/7 + 60*d**2\/7.\nAnswer: 2*d**2*(d + 1)**2*(d + 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 39. Suppose -f*g = -24*g + 51. Let n = g + 61. What is the smallest common multiple of 48 and n?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (63\/(-7))\/(1*4\/(-4)). Is 29 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a + 5?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/6, 10, 4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/3 - 4*s**3\/3 + 40*s. Factor g(l).\nAnswer: 4*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*o**2 - 98 - 42*o**2 + 96 to the form m + p*o**2 + x*o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = q - 5*g, 3*q = g - 17 + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3631218 is divided by 379?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 176267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 166?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1485118*r - 175. Let t(y) = -y. Calculate g(t(q)).\nAnswer: 1485118*q - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 4*a - 36 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 78*l**2 - l - 297. Determine d(-78).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1008, -3, 4?\nAnswer: -1008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*z = 948. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2 - 3*h - 2. Let n be i(-2). Let l = 3 - n. Solve 0 = y + 2*t + l, -2*t + t = 4*y + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2340 is divided by 196?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1196.5561934 to the nearest integer.\nAnswer: -1197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 72 = -249. Let l = -89 + i. What is the remainder when 31 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*v**6 - 4*v**2 + 38*v**6 + v**2 wrt v?\nAnswer: -720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5365123 at least -5365122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -35*r**2 - 2*r + 3. Let w(c) = 28*c**2 + 3*c - 1. Determine -2*g(l) - 3*w(l).\nAnswer: -14*l**2 - 5*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + m**2 - m**2 - 21 + 21 + 16*m**2 + (-m**2 - 2*m**2 + 5*m**2)*(-2 + 1 + 2) - m**2 + 3*m**2 - 3*m**2 + 2 - 2 + 4*m**2.\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 3*z**2 + 4*z. Let q be b(-4). Suppose 0 = 2*i - 5*x + 1, 5*i + q*i + 4*x = -19. Let o = 738 + -766. Sort i, 0, o in decreasing order.\nAnswer: 0, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19*((-4)\/8)\/((-5)\/150)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*p = -9*p - 137, 0 = 2*p - 6. What is the remainder when 115 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -81367 and 23.3.\nAnswer: -81343.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 2:33 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103072525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 1, e: 1, q: 2, f: 3}. Give prob of picking 1 g and 1 f.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175 + -162. Suppose t*o + 15 = 14*o. What is the remainder when 35 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 8:52 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 + 0.3. Let n be 6\/14*4\/(-6). What is the third smallest value in f, n, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18259689 and 6363.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6*a - 12. Let v be a\/(72\/(-15))*6. Suppose 0 = -v*r - 4*r + 279. What is the remainder when 61 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1066 and 415163827?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/31, 8, 14784, 0.4, -4.\nAnswer: -4, 1\/31, 0.4, 8, 14784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 1. Suppose 5*u + 23 = -2*c - 3, 4*c + 4 = 2*u. What is the units digit of z(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + -1 - 24\/(-6). Let x = 548 - 1640\/3. What is the second smallest value in 0.2, x, 5, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/3, -3, 1, -4 in increasing order.\nAnswer: -4, -10\/3, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 6*x + 8. Let g be d(-6). Suppose 5*t - g = 85. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**(-4)*b)*((b*(b**(-1\/29)\/b)\/b)\/b*b)\/b assuming b is positive.\nAnswer: b**(28\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 1:42 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166104*l = -166102*l + 6. Let x(t) = -9*t + 4. Let j(f) = -8*f + 4. Let z(m) = -7*j(m) + 6*x(m). What is z(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*u - 88 + 14, 0 = -5*u + 15. Suppose 4*w = -z, 1140 = 2*n + 8*w - 13*w. List the prime factors of n.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 8*y**2 - y - 2. Let x = -50 + 53. What is the tens digit of r(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1140.396 - -1.174. Let j = 1135 - i. Let z = j + 0.07. What is z rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280 divided by 5126\nAnswer: -140\/2563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 + 14*y + 3. Give n(10).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = 27*o - 6. Suppose 3*x - 5*q = 32 + 143, -4 = o*q. Suppose l + 29 = a, 0 = -5*a + l + 102 + x. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:43 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = 7*l - 3*l, 2*j + 9 = -5*l. Let a be l + 6 + (-4 - -1). Suppose -4*x = 2*p + 6, -a*x + 4*p + 15 = 3. Is 3\/7 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (7 + 0)) + 12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 5*i + 34 = 0, 4*g + 4*i = 6*g + 21 - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(r + 2*r - 5*r) - r - 2*r + r + 3 - 3 - 2*r + (-4 - 4 + 5)*(-1 + 1 - 2*r) - 702*r + 859*r - 2136*r.\nAnswer: -1979*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1648.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1800.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -2*a. Let x(q) = q**3 - q. Let r be x(a). Suppose r = -h + 4*p - 9, 0 = 2*p - 0*p - 8. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 795.9 - 799.9. Let l = 4\/31 - -1387\/62. Let f = -761\/34 + l. Which is the closest to -0.1? (a) 1 (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/13318 (b) -0.1 (c) -120 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2294, 17807, 59546, 140507, 273686?\nAnswer: 472079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (4 + 3 - 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 205375?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 216422 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 390 + -563. Let c = -173.00000545 - k. What is c rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/7750 and 37\/20.\nAnswer: 15500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + 7*z - 1 - 5 + 8*z + 9.\nAnswer: 6*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 10*c**2 - 7*c - 8. Let o(x) = x**2 + 1. Let j be o(1). Suppose j*p + 3 = 21. Calculate the remainder when s(p) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 21.27947.\nAnswer: -0.4255894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261447 is divided by 203.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = 5*l + 80, -581*l - 4*b = -585*l - 8 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -7252060?\nAnswer: 7252060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19357, 38586, 57815, 77044, 96273, 115502?\n\"Answer: 19229*m + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272345997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 111*d**2 - 6511*d - 650881. What is k(-107)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42786360 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 5:13 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/20 + 5*z**4\/12 - 2*z**2 - 25*z. Let f be y(4). Solve -r - f = -t - 6*r, 18 = -3*t + 3*r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8976)\/340*(-10)\/4. Suppose 0 = -39*n + 51 + p. Solve -n*l - 6 - 5 = 5*y, 0 = l + 5*y + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 - m**2 + 2*m**2 + 16*m**2 - 10*m**2 - 11*m**2 + 337*m - 337*m - 20*m**2 + 0*m**2 + 0*m**2 + m**2 + (2 - 2*m - 2)*(-2*m - m + 2*m).\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5271.737nm in meters?\nAnswer: 0.000005271737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 2. Let v be (2*9\/(-6))\/(-1). Let q be c(v). Let i = -2 + 4. What is the greatest common divisor of q and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*-3*10\/3825.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3072684.\nAnswer: 2, 3, 256057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -259*-8\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*y - 45, -7*y = 4*j - 2*y - 54. What is the least common multiple of 13 and j?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -14.4. Let w = -2.4 - s. Which is the biggest value? (a) w (b) -1\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2589 = -1699*j + 59196 + 14751 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -35*v**2 + 2*v. Give d(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6256\/(-35328) + (-2 - -1 - (-39)\/36)\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 - -0.31. Let g be 4\/(-14) + 9\/(-42). Which is the second smallest value? (a) g (b) x (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -7. Which is the biggest value? (a) g (b) 1\/7 (c) 4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9607030 and 14410545.\nAnswer: 28821090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 261795491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i**2 - i - 1. Let o(k) = -1422*k**2 + 158*k + 158. Calculate 2*o(w) + 316*u(w).\nAnswer: 316*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/2*(-2)\/(-2). Let s(j) = j + 8. Let u be s(-6). Solve -u*h + c = -6*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*x + 85044 - 89772 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -14*s**2 - 2*s + 18. Let f(a) = 15*a**2 + a - 19. Suppose -2*v + 0 = 10. Let m(r) = v*c(r) - 6*f(r). Suppose m(y) = 0. What is y?\nAnswer: -1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3\/8 - 7821933*i**2\/8 + 15643875*i\/8 - 7821939\/8.\nAnswer: -3*(i - 1)**2*(i + 2607313)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 128, 155, 182, 203, 212, 203?\n\"Answer: -k**3 + 6*k**2 + 16*k + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2, 3*y - 2*o = -3*o + 16. Solve 6*b = y*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + o)*(-68*o**2 + 16*o**2 + 37*o**2) + (-2*o + 4*o + 7*o)*(2*o**2 + 0 + 0) in the form f*o**3 + m*o**2 + v*o + y and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1038 + 1090.3. Let t = a + -52. What is the smallest value in 5, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046 times -0.1?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 20, 60, 146, 296, 528, 860, 1310?\nAnswer: 1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15559069696*o**2\/3 - 356744960*o\/3 + 2044900\/3.\nAnswer: 4*(62368*o - 715)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j + 3*j + 3*j**2 - 2*j**2 + 5. List the prime factors of z(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5\/13 (b) -0.5 (c) 4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*j + 41 + 61 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43769104, -43769107, -43769110?\nAnswer: -43769113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 45*t**2 + 47*t - 119. What is the remainder when k(45) is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-10))\/((-1)\/5). List the prime factors of 3 + (-1 - (m + 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*g = 102, -21*p - 2080 = 49*p - 5*g for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000747425 rounded to 6 decimal places?\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -39*((-1605)\/195 - -8). Solve -2087*b = -2086*b + z for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + z - 17, -5*r = -2*z + 5 - 15. Suppose 2*c - r*c = -4. Solve 2*n - 11 = 3*f + 6*n, 2*n = c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31520 - -1?\nAnswer: 31521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -1 + j - 2*j + 2*j**2 - j**2. Let v(y) = -2*y**2 + 15*y + 5. Let w(n) = 5*n**2 - 28*n - 10. Let g(c) = 7*v(c) + 4*w(c). Calculate -g(f) + 5*x(f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 - 23*h - 230. What are the prime factors of l(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 4*g**2 - 2*g - 14. What are the prime factors of z(6)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -26, 5\/12, -3?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 50 = 4*d - 3, 0 = 3*h + d - 18. Let o(i) = -i**3 + 8*i**2 - 8*i + 7. Let g be o(h). Let n be g\/2 - 6\/27. Is -1 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -418498581 and 0.3.\nAnswer: -418498580.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b + 3*b - b)*(-5*b + 11*b - 4*b)*(2 + 0 + 1) to the form q + d*b**2 + o*b and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18288?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*-9*(-11740)\/1761?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + 2. Let n(a) = 8*a**2 + 12*a + a**3 - 7 - a - 2*a**3. What are the prime factors of n(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 452454568 to the nearest integer?\nAnswer: 21271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -418 + 417.9. Is -487 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 8:58 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13412 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2. Let g(i) = 6 + 578*i + 396*i - 909*i. Give g(h(j)).\nAnswer: 65*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2936 and 89\/40.\nAnswer: 14680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let h be (-2 - (-4)\/(-2))*(-15)\/20. Let w(y) = 41024836 - 8*y - 41024836. Give h*w(b) + 12*v(b).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - c. Let n = -62 - -62. Let u be v(n). Let h = 199\/2 + -2981\/30. Which is bigger: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 + 8*q**2 - q**2)*(12*q**3 - 20*q**3 - 19*q**3 + (-9*q**2 + 2*q**2 - q - 11*q**2)*(2*q - 3*q + 3*q)).\nAnswer: -126*q**5 - 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f - 16*f + 11*f**2 + 4*f - 45*f**2.\nAnswer: -34*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 27*g**4\/16 + 29*g**3\/4 + 9*g**2 + 3*g + 25. What is u in k(u) = 0?\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2442 in -26\/3, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32804 divided by 139?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -253 - -279. Calculate the highest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 13 = -4*r, r + 86 - 81 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 - 0 - (-76)\/(-8). Let r(c) be the second derivative of 5*c**2 - 12*c - k*c**3 + 0. What is the derivative of r(m) wrt m?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x**2 - 324*x + 16. Let r(u) = -5*u**2 - 108*u + 6. Let l(c) = 3*p(c) - 8*r(c). Let l(z) = 0. Calculate z.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (3 + 0 + sqrt(147) + 4)**2).\nAnswer: -585 - 294*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15254 and -17991.0749.\nAnswer: -2737.0749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.45 - -1.4. Let q = i + 40.05. Let r = q - 40.999949. Round r to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9254917543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - y - 3, 5*k - y = -0*k - 25. Let a be k\/(-14) + (-78)\/(-21). Solve 3*r = 3*p - 16 - 14, a*p - 35 = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -4, 89, 1\/2703, -3?\nAnswer: 1\/2703","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 229.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -63940680.65832?\nAnswer: 63940680.75832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -379 + 379.173. Let o = x + -0.073. Sort 1\/2, 7, o in decreasing order.\nAnswer: 7, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.370994174 rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.793011536 to three dps.\nAnswer: 3.793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1364 = 19*n - 1030. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 4202?\nAnswer: 4211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27604 is divided by 13800.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 121 + -10d4a?\nAnswer: -10c29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602504 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23690 and 1030?\nAnswer: 23690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.445971 take away 0.0348?\nAnswer: 0.411171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in decades?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (5*sqrt(1100)*1 - (4 + sqrt(1100))*6).\nAnswer: -10*sqrt(11) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 4 - 8 + 2 - 3*b**2 + 24*b - 22*b. Suppose 3*q - 5*q = -4. Let z(j) = -6*j + 4 + 2*j**2 + 2*j**q + 2*j. Determine -5*s(n) - 2*z(n).\nAnswer: 2*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570826847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = 5*q - 8*v - 11, q + 2*v - 11 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120202100 + -12101122?\nAnswer: -11210010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(20\/12)\/5*4680\/(-104)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5*g - 29 = 0, -4*o = -9*o + 2*g - 30 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 = -s. Let y = 0.2172 + 0.0828. What is the second smallest value in 4, y, -3, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/4*24\/42. Suppose u*m = m - 2*s + 7, 4*s = 8. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*s**2 - 12682927*s - 134000367?\nAnswer: 16*s - 12682927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2638.596.\nAnswer: -7915.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9018.59 plus 4.804932?\nAnswer: 9023.394932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-455)*587580\/268608.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 2*z - 2*z = -3*z - 36, -z - 4 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awy when three letters picked without replacement from {a: 4, y: 1, w: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -48*q - 1010. What is the smallest common multiple of 5 and p(-25)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 11*k - 375. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.04 - -24. Let h = 4 - 2. Put h, v, -0.5 in descending order.\nAnswer: h, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - 7*i - 8. Let m be q(4). Let k(w) be the third derivative of -3*w**4\/8 + 2*w**3\/3 - w**2. Is 12 a factor of k(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7636.062 micrograms to grams.\nAnswer: 0.007636062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-30))\/((-6)\/396). What is the greatest common divisor of o and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4\/5)*5\/(-8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 3\/2*g**2 + 1\/48*g**4 + 0 + 0*g**3 + 7\/240*g**5 - 3*g + 1\/96*g**6. Let f(k) be the first derivative of a(k). Factor f(p).\nAnswer: p*(p + 1)*(5*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-2) - 5 - -6 - -16. Solve j*f - 26 = 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 6:58 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14675144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -3*d - 2*d. Suppose d = -6*i + 5*i. Let w = 29 + i. Calculate the least common multiple of w and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = a. Let h = -5\/4 - -21\/20. Let m be (4 - 3) + (-2)\/2. What is the nearest to m in h, 1\/6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1251661*d**2. Let g(z) = 4*z**2. Calculate g(b(k)).\nAnswer: 6266621035684*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53371 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3116 - -4221. What is the remainder when p is divided by 56?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**9*t)*t*t))\/(t*t\/t**(-8)))\/(((t\/(t*t*t**17)*t)\/t)\/t**(8\/5)) assuming t is positive.\nAnswer: t**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 1, b + 0*n + 4*n = 18. Suppose b*v = 17*v - 888. Is 74 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 2. Let t(o) = -o**2 + o. Let j(p) = p**2 - 4*p + 1. Let f(m) = h*j(m) - 4*t(m). Differentiate f(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 32*t**2 + 56. Let l(q) be the third derivative of q**5\/20 + 5*q**3\/6 + 519*q**2 - 4*q. Determine -56*l(s) + 5*n(s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -99?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*r = 198 - 63, 0 = r - 3. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42.7 + -40. Let y = p + 1.3. What is the closest to -0.1 in y, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-43)\/215 - (0 - (0 - 0)). What is the fourth smallest value in -5, 5\/2, 1\/2, g?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 385 - 60*i + 138. Is 19 a factor of p(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0143? (a) -11\/4 (b) 3\/32 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -357*n - 3556. Give q(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*b = 286, -4*v = -0*b + b - 545. Let n = v - 95. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 131, 182, 201, 170, 71?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1802883794?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*x**3 - 5*x**3 - 12*x**3 - 18*x**3 - 20*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 33 + 1 = 0. Suppose -u = -8*q - 2. Solve 0*n - q*n + 2*s = 0, -16 = 2*n - 5*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 12*n + 7. Let h be u(0). Let k(p) = 4*p - 9. Let d(j) = 2*j - 5. Let a = 8 + -12. Give a*k(t) + h*d(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 65 = 5*c, 29 - 4 = 3*c - 2*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -2, -4, -15 in descending order.\nAnswer: 7, -2, -4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21333\/4 - -149311\/28. Which is smaller: -303 or p?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**2 + 3*w**2 + 4*w**2. Suppose -3*o = -3*m - 6, -2*o - 3*m + 14 = -o. Let i(g) = -g + g - 2*g - o*g. What is h(i(l))?\nAnswer: 98*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1348151 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t + 3. Let o(v) = v**2 - 2*v. Let g be o(t). What is the greatest common factor of 6 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -1216, 9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1557 and 917073?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2971*t - 2972*t = 1. Suppose 0 = -4*f + 5*f - 1301. Let a = f + -136603\/105. Is t at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v + 3014*v**2 + 7*v + 1006*v**2 - 22*v + 3*v.\nAnswer: 4020*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11\/4)*((w*w*w**4)\/w)\/w assuming w is positive.\nAnswer: w**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*u = 226*u. Which is the closest to -0.4? (a) -4 (b) -0.01 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/11))**11\/(k**7*k*k**(-5\/7)) assuming k is positive.\nAnswer: k**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:22 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 3*h + 5. Let u(s) = s**2 + 2*s + 4. Let y(i) = -2*l(i) + 3*u(i). Let n be y(-4). Solve -3*a - n = -4*a - 3*o, 0 = 2*o - 10 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.559005ml in litres?\nAnswer: 0.009559005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -62657 (base 9) in base 2?\nAnswer: -1010000110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -2\/13 (c) 3 (d) -0.7 (e) -88\/533\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -52945940, -105891880, -158837820, -211783760, -264729700?\n\"Answer: -52945940*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -123*(-15*(-440)\/(-7425))\/(5\/(15\/(-4)))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 791606 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115062\/11 + -67657985\/6468. Find the common denominator of -58\/141 and z.\nAnswer: 27636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 - 461 = -14*f - 242. Suppose 2*u = -4*z + 566, 159 = z + u + 19. Let x = f + z. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 11*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 824 and 16.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7198.\nAnswer: 2, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 283, 1135, 2553, 4537, 7087?\nAnswer: 10203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75233 and 11.\nAnswer: 827563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-3)\/9 - 0. Suppose -2*f - 3 = 3*t, d*t + 3 = t. Solve 5 = -2*l - f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 2*g**2 + g + 890. What are the prime factors of q(0)?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:20 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2\/9 - 15500*n\/3 - 3230136 = 0 for n.\nAnswer: -10962, -663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3*u + 3*u)*(-2 + 2 + 1)*(99*u - 24*u - 28*u).\nAnswer: 47*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 - 4*k. Let z(f) = 3*f**2 - 3*f. Let x(v) = -3*s(v) + 4*z(v). Let w = 19 + -17. Let m(u) = 4*u + w*u**2 - 11*u + 7*u. Give m(x(g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/234992 and 1\/18552?\nAnswer: 704976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183676 and 41172?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2392)\/414 - 2\/9. Suppose 0 = 5*g + 10 - 35. Suppose -2*u = 2*p, -g*u + 4*p + 19 = -8. Sort c, 5, u in descending order.\nAnswer: 5, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {u: 1, y: 4, x: 2, v: 3, w: 3, i: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1096 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 2*a + 3*a = 23, -5*l + 4*a - 32 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 858, -8, 193, 3.\nAnswer: -8, 3, 193, 858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 22*u**2 + 3*u - 62. Let w be b(22). Suppose -6*k + 7*k = w. Solve 5*g + 6 - 2 = -4*s, k*g = -5*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4325 + -3130?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34789 and 559037?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 0*w**2 - 20\/3*w**3 - 11 + 58*w. What is the derivative of b(j) wrt j?\nAnswer: -40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 350749583?\nAnswer: 350749582.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*t + t**4 + 4*t**4 + t**3 - 5*t**3 - 44*t to the form k + f*t**2 + h*t**4 + g*t**3 + p*t and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 97470?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 0, -4*l = x + 3*x - 44. What is the lowest common multiple of x and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-1) + (-16 - -16) + 6. Let l(w) be the first derivative of -1\/25*w**5 + 1\/5*w**4 - r + 1\/5*w**2 - 1\/3*w**3 + 0*w. Factor l(q).\nAnswer: -q*(q - 2)*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1710 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 928 and 11252.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - z - 59, -2*a + 0*a - 3*z + 71 = 0. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 - 82. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/36 and 67\/324?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/30)\/(6*(-4)\/(-36)). What is the nearest to 2 in n, 3, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h + h + 12*h + 3*h + 13 with respect to h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 0.03808?\nAnswer: -0.0007616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let f(l) = 4*l. Let q(w) = -2*f(w) - 7*r(w). Let b(o) be the third derivative of o**4\/8 + 31*o**2. Determine b(q(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 30*r + 55*r + 19 + 13*r. What are the prime factors of q(3)?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11403 + 1?\nAnswer: -11402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssgj when four letters picked without replacement from ggsjsjbsjg?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 61 = -29. Let x be h\/4*20\/(-15). Let d = 1 - x. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**4\/24 - j**3\/6 + 5*j**2. Let o be k(4). Solve -5*p + n - 7 = 2*n, 0 = o*p + 2*n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6566 is divided by 729?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -31. Let c = 23 + d. Find the second derivative of -7*j**3 + 4*j**3 + c*j - 4*j**3 - 2*j wrt j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015866134 rounded to 5 dps?\nAnswer: -0.01587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -59.74 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -78771 minus 0.1?\nAnswer: -78771.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (12 - (6 - 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c**2 + 32*c**2 - 48*c**2 + 8*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrb when four letters picked without replacement from rrgbrrgbbr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2 + sqrt(68) + sqrt(68) + 0 + sqrt(68) + sqrt(68))**2*-1 - 1*(sqrt(68) + (sqrt(68) + (sqrt(68) - (sqrt(68) + 0)))*-2)) + 1 + 3.\nAnswer: -1089 - 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -13\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 62 + -97. Let c = l - -55. What is the highest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5 - 4, 5*n = -x + 11. Solve 4*o + x = 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:28 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*v + 23*v + 112 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 792724 divided by 3.\nAnswer: 792724\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27170*q**2 + 2*q - 169517?\nAnswer: -54340*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 + 139852*x - 102237408 = 0. What is x?\nAnswer: 747, 34216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47118*k**5 + 2 + 2*k**3 + 47119*k**5 - 4*k**2 + 0*k**3 - 677*k + 9*k**2 wrt k.\nAnswer: 20*k**3 + 12*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-50)\/(-4))*-6*680\/(-48).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-32)*u*u)\/u)\/(u\/(u\/((u*(u\/((u\/((u*u*u**37\/u)\/u)*u)\/u)*u)\/u)\/u)))*(u*u*u**(-1)*u)\/(u**(2\/23)*u) assuming u is positive.\nAnswer: u**(-1520\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-4)\/(-36) + (-616)\/(-18). Suppose s = -2*l + 3*l. Suppose 4*d - l - 58 = 0. Solve -r + 4*v + 36 = 3*r, -2*r + 3*v + d = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4)*(-8)\/3. Suppose 0*p + c*p - 429 = 3*a, 4*p - 2*a - 426 = 0. Let o = p - 30. Calculate the highest common divisor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 2*g**2 - 3*g - 2. Let n(w) = -2*w**2 + 3*w + 75. Let q be n(7). Let c(f) = 3*f**3 + 5*f**2 - 7*f - 4. What is q*c(d) + 5*p(d)?\nAnswer: -d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t = 15. Find f, given that 45 + 3*f + t*f + 3*f**2 - 41 = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4525*l**4 - 15427*l wrt l.\nAnswer: -54300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 + 67 = -11*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.009*-0.12.\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -17\/78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/5 - 8\/15*r**2 + 2\/15*r + 2\/15*r**3 = 0. Calculate r.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (4 + 2 - 3). Suppose 0 = s + 5, -2*b + 40 = 3*b - 4*s. Solve -b*w = -3*w + d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3941 + 55?\nAnswer: 3996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Let f(o) = o**3 + o**2 + o - 3*o**a - 3*o**2 + 2*o**2. List the prime factors of f(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -2\/1621 (b) 4\/3 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g = -8. Let z = -797548 + 3987744\/5. Let -6\/5*u**3 + 6\/5*u - 2\/5*u**g + z - 2\/5*u**4 = 0. What is u?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31222066 (base 8) to base 16\nAnswer: -652436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 6:37 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b151b (base 15) to base 13.\nAnswer: -373232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 14026*u + 1963643. Calculate l(-140).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -18 - (18 - 21 - 43).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7776, -7774, -7774, -7776, -7780, -7786, -7794?\nAnswer: -7804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 17283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -188*c**2 + 31*c + 2. Let f(d) = -94*d**2 + 14*d + 1. Let y(g) = 10*f(g) - 4*p(g). What is the second derivative of y(i) wrt i?\nAnswer: -376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27b7b (base 15) to base 12.\nAnswer: 61922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 282597107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 - 1b42?\nAnswer: -1b67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 3. Let n(g) = 7*g**2 + 2*g - 1. Suppose 0*j - 1 = -j. Calculate the least common multiple of n(j) and w(9).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(3) + 3) + (-3 + sqrt(300))**2*-2.\nAnswer: -613 + 125*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280276 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: What is the smallest value in 0.33, 234\/5, 1\/545, 2\/5?\nAnswer: 1\/545","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0188425012 to 4 dps.\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -9\/7, 6, -1.\nAnswer: -9\/7, -1, 2\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + k = -3, q + 11*k - 13*k - 12 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21386 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 355 - 1078\/3. Let q = 127\/30 + z. Let n be (-1)\/(-1*(-4)\/(-16)). What is the second biggest value in -3, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/(-6)*(-2 + 3) and (-429)\/(-22)*7\/(-6)*252\/(-5880).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0*k + 0 + 0*k**4 - 3*k**2 - 1\/210*k**7 - 2\/3*k**3 + 0*k**6 + 0*k**5. Differentiate l(r) wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b - 22. Let u = 28 - 20. Let t be f(u). Suppose -6*x + t = -2*x - 2*w, 4*w = 5*x - 57. Calculate the remainder when x is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 428 = 4*x, -3*x - 5*o + o + 318 = 0. Suppose 0 = -2*u - 2*y + 32, x = 5*u - 0*u - 5*y. Solve 0 = 2*n - k - 4*k - 5, 4*k = -3*n + u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17395611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -609, -604, -595, -582, -565, -544, -519?\n\"Answer: 2*c**2 - c - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/3 + 170\/6. Suppose -9 = 6*n - r. Which is bigger: n or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - 3*g**2 - 3*g - 1. Determine r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -2 (b) -10 (c) 19 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 21*g**2 - 2068*g + 2072*g + g**4 - 192*g**3 + 191*g**3 - 3 as n*g**4 + a*g**2 + c*g**3 + z*g + i and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0 + 0)*(-3 + 0 - 1).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3*6\/24*40\/210)\/((-10)\/50)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 - -76 - (-5 + -7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44171 by -5.\nAnswer: 44171\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42690 divided by 3?\nAnswer: 14230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + 2*h**2 + 4*h + 6. Give t(4).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149 + u**2 + 149)*(5*u**3 - u**3 - 2*u**3)*(13 + 20 + 34).\nAnswer: 134*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 5, 9 = -3*p - f - 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (0 + 1 + -2). Let g(r) = -4*r. What is the units digit of g(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159 (base 12) to base 8.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5884 = -5*k + k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61971 is divided by 6196?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 144834634 + -14338812809\/99. Let w = -1859 - y. Do w and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 8:50 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 25 + 3*h - 42 + 37 + 2*h + 3*h. Determine o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f - 3. Let h(z) be the second derivative of 13*z**3\/3 + 5*z**2 + 5665*z. What is -2*h(b) - 7*r(b)?\nAnswer: 11*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 502\nAnswer: -11\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 61. Suppose 3*p = -5*q + 20, -4*q = 3*p - 10 - s. Suppose -5*n - q*k + 3771 = 0, -2*n + 2*k = -5*n + 2261. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k**4 - 12017*k**3 - 257537*k**2?\nAnswer: 96*k - 72102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*u**2)*(-11*u**2 - 8*u + 8*u) + 0*u**4 + 6*u**4 + 0*u**4.\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 74*j - 517. Let u be f(7). Solve -5*q = 6*r - 4*r - u, -3*q = r - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3780 - 3750. Calculate the remainder when 232 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 59506276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103463 and 115866.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.059 in 3, 2\/9, 5, -1137, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3304 and 3989344?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**(2\/3))\/(d**2*d*d))\/(d**(-18)*d**(-2\/33)) assuming d is positive.\nAnswer: d**(195\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**3 - 4*b**3 + 13*b**3 + (0*b + b + 0*b)*(-b**2 - 2*b**2 + 4*b**2))*(2 - 3 - 3).\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 21. Let n be 10\/b*(-18)\/20. What is the second smallest value in 0.3, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/219 in -43, -3, -2, 0.4, 50?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 6 = 2*w. Suppose -3*c - 3*g = -4 - 53, -w*c - g = -49. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 404400 divided by -33700\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 32, -0.4, 1 in increasing order.\nAnswer: -0.4, -0.2, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 11. Let u = 23 + w. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a - -3?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (0 - -101) + (2 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 5*i**2 - 3*i**2)*(-3*i**2 + 0*i**2 + 5*i**2 + (4 - 4 + i)*(-2*i + 2 - 2) - 3*i**2 + 3*i**2 - i**2).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 - 520\/(-39)) + 1. Which is the third biggest value? (a) -0.42 (b) -1\/7 (c) -4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10199928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -559.003 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/4, -8, 34030 in ascending order.\nAnswer: -8, 1\/4, 5, 34030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 u when four letters picked without replacement from {u: 7, j: 4, k: 2}?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/61 + -178\/305. Which is the nearest to 0.1? (a) h (b) 0.2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1068273 divided by -2.\nAnswer: 1068273\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g. Let k(o) = -o**2 + 4*o - 1. Let m be k(3). Let y(q) = -22 + 2*q**2 + 22 - q**m. What is c(y(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(576)*-1 - sqrt(576) - sqrt(576)) + sqrt(576) - sqrt(576))\/(sqrt(2) - (sqrt(2) + 1*sqrt(2)*1)) - ((sqrt(98)*-2 + sqrt(98))*-3)**2*-6) + -2.\nAnswer: 36*sqrt(2) + 5290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95737.9 microseconds in nanoseconds?\nAnswer: 95737900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:36 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (664 - 679) + (-14)\/3*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1134 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**2 + 1. Let l(r) = -41428*r + 20715*r + 2 - 1 - 3 + 20716*r. Calculate w(l(y)).\nAnswer: 6*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -605 + 601. Let y be u\/6*-6*(-10)\/(-20). Solve 4*f + 2*z + 14 = 0, -6*z + 3*z = y*f + 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 - 32 - 105 + 162 - 707*g)*(3*g**3 + 0*g**3 - 2*g**3).\nAnswer: -707*g**4 - 15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzhchbzzhczdhzhz. What is prob of sequence hhz?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*k = -4, 6*z - 6 = 3*z + 3*k. Suppose z*i + 4*x + 14 = 2*i, -x + 1 = 4*i. What is the units digit of 5*(i\/(-5) + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 199580.\nAnswer: -199579.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*x = -s - 20, -14*s + 18*s + 4*x = -17*s - 25*s - 310 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 5730 - 5578. Which is bigger: v or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46747*d**2 + 93495*d**2 - 46741*d**2 + 7.\nAnswer: 7*d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11086 is divided by (11 - -12 - 17) + (167 - (-6 - -3)).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84691899 divided by -3\nAnswer: 28230633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -15 + -1 - -16?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 195 + 61 - k + 140 + 198 as j*k + o and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 217933506491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/3 + 2\/(-3). Let a = 7 - t. Let n(m) = -m**2 + 2*m - 4*m**2 + 1 + 4*m**2. What is n(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**2\/2 + o + 2. Suppose 5*v - 4 = -3*d - 1, 5*d + v = -17. What is i(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35163 <= -562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 44?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1\/29)\/((16\/(-48)*2)\/4)\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 32*l**2 - 2358*l + 69169. Determine w(28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36840029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 96*c**2 + 25*c**2 + 454*c - 454*c + 1 + 18*c**2 as k*c + v + g*c**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 38*d**2 - 36*d. Let o be l(-18). Find w, given that 4\/5*w**3 - 4\/5*w**5 - 4\/5*w**4 + o + 0*w + 4\/5*w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1718*v - 698. What are the prime factors of a(8)?\nAnswer: 2, 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 4*m + 0 - 1\/3*m**3 + 3\/2*m**2. Differentiate k(y) with respect to y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333750*o**3*s - 7*o**3 - 150*o**2*s + 3262*o**2 wrt o?\nAnswer: 2002500*s - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 30. Let o(s) be the second derivative of s**5\/20 + s**4\/2 + 5*s**3\/6 - s**2\/2 + s. List the prime factors of o(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62329 - -186186. Suppose -5*u - r = 461143. Round u to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-45)*15*48*2\/(-20)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -425820?\nAnswer: -425820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5681570 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(500) + 1*sqrt(500) + sqrt(500) + sqrt(500))*-1*-2)\/(sqrt(1210)*1 + sqrt(20)\/sqrt(2)*2))**2.\nAnswer: 28800\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2*n - 18 = 0, k + 3*n - 56 + 39 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 55\/2*i - 25 + 1\/2*i**3.\nAnswer: (i - 10)*(i + 1)*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 + -1.132?\nAnswer: -120.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1731008, -1731009, -1731010, -1731011, -1731012?\nAnswer: -1731013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14621 in 5, -1.7, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -490.7 - -1.\nAnswer: -489.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 5*k + 1. Let u(j) = 2*j. What is -2*d(r) - 5*u(r)?\nAnswer: -2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -97?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294182.\nAnswer: 2, 7, 21013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l - 786*l = 399*l - 60711 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 1 + 65*v + 10*v**3 + v**2 - 65*v in the form d*v**3 + t*v**2 + n + f*v**4 + m*v and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 442, 461, 480?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 4*l - 19, 2*i = -l + 1198 - 1218 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38030.\nAnswer: 2, 5, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/5, 0.4, -324153 in descending order.\nAnswer: 0.5, 0.4, -1\/5, -324153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z - 102. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 283 - 157. Let g = d + -89. Calculate the remainder when 73 is divided by g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**2 + 6*i - 41. What is a(5)?\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:21 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 8*i**2 - 2*i**2)*(45391*i + 383*i**3 - 45391*i).\nAnswer: 1532*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4879\/10 - 488. Which is bigger: 23 or y?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 27*c - 78. Let i be z(3). Let y(p) be the second derivative of p - 2\/3*p**3 - 1\/20*p**5 + 3\/2*p**2 + 0 + 1\/3*p**4. Calculate y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3809665*d**2. Let b(w) = 2*w**2 - 74. Give b(v(z)).\nAnswer: 29027094824450*z**4 - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 1. Suppose -19 + 4 = -3*k - 4*j, 0 = 4*k - 5*j - 20. Determine p(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2. Let k(v) = 5000*v. Calculate u(k(x)).\nAnswer: -50000000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 16*u**2 - 24*u - 30. Let t(k) = -k**3 - 15*k**2 - 23*k - 27. Let l(g) = 7*t(g) - 6*x(g). What is l(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/10)\/((-12)\/30). Let w be (-2 - (-7)\/s)*-2. Which is the nearest to -3? (a) w (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 208 = -4*s + 5*f, 2*s + 136 = 4*f. Let p = s + 124. Find the common denominator of 177\/(-6)*(-9)\/(p\/(-4)) and 34\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 6*d + 4. Let w be a(4). Let b = 13 + -18. Sort -9, b, w in increasing order.\nAnswer: -9, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-506)\/77 - (-8 - -1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -9, -1\/4, -2\/3, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4*n**2)*(3*n**2 - 2*n**2 + 0*n**2) - 7*n**4 - 2230*n + 2232*n + 2*n**4.\nAnswer: -n**4 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**2\/4 + 17585*r\/2 - 14105945\/4 = 0. Calculate r.\nAnswer: 427, 6607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (6 - 8) - (-3 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 3\/46651 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtctapla. Give prob of sequence ll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19398 - -28499. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 5*u**2 - 1\/20*u**5 + 0*u - 9\/70*u**7 + 3\/20*u**6 + 0*u**4 + 1\/28*u**8 + 0*u**3 + 0. Find m such that s(m) = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/(-30))\/((-1)\/(-3)). Let x(a) be the first derivative of -7 - 3\/4*a**i + 0*a**2 + 0*a**3 - 5*a. Differentiate x(c) with respect to c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -194*x**3 - 2*x**2 - 5*x + 6. Give h(1).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 869068 and 10?\nAnswer: 4345340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 7*c**2 + 10*c + 19. Let h be a(-8). Suppose 0 = -h*j - j + 1764. Suppose 3*o - j = -4*g, 0 = -3*o - 2 - 13. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 3*s + 4*s)*(0 - 1 + 2) - 2694 - 123*s + 2694 + (-1 + 4 - 5)*(7 - 4*s - 7).\nAnswer: -114*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 g, and 1 s when four letters picked without replacement from sfffffffgsfffgfggufu?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.56 - -2.86. Which is the second biggest value? (a) -0.5 (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/15 (b) 0 (c) 19 (d) -332\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1897, 1891, 1881, 1867?\n\"Answer: -2*w**2 + 1899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15801271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3740 - -3739.9989818. What is i rounded to 5 decimal places?\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -62*g + 8687 = -135*g - 178*g - 1604 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 575917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -18, -19, -20, -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, 0.2, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-45) - 258\/10. Let w = -27 - i. Which is smaller: -2\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*p**3 - 2*p**4 - 11*p**3 + (13*p**4 - 12*p**4 + 46*p**4)*(0 + 1 - 3 + (0 + 0 - 1)*(0 + 0 - 2) + 3 - 3 - 2).\nAnswer: -96*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110002110212 - -2?\nAnswer: 110002110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) + -6*-3*sqrt(11))) + 1 + 5)**2.\nAnswer: -216*sqrt(11) + 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046109 to seven dps.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 419524447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or 45\/136?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11) - (sqrt(44) - sqrt(11))) + -6*2*sqrt(11).\nAnswer: -12*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(600))\/((sqrt(64)\/sqrt(4)*-3)\/sqrt(2)).\nAnswer: -50*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6577*f**2 + 6*f - 12. Let l(q) = 26439539*q**2 + 24123*q - 48246. Determine -8041*i(t) + 2*l(t).\nAnswer: -6579*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*u - 4381, 4*a + 4729 = 4*u + 1237. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -27*h - 9. Solve -3*d + 16 = 2*z, -20 = -z - 4*d - h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*sqrt(72)*3 + (sqrt(72) - (sqrt(72) + -2)*4) + (sqrt(72)*-5 + sqrt(72) - sqrt(72))*1*-4)*3)**2.\nAnswer: 12096*sqrt(2) + 127584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2234 (base 6) in base 12?\nAnswer: -37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j - 3*j + 3*j)*(36*j**2 + j - 38*j**2 - 2*j) to the form g*j + t + o*j**3 + s*j**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z + 4. Put -2, z, 0 in decreasing order.\nAnswer: 0, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -359610000 to the nearest 1000000.\nAnswer: -360000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 4*p - 6 - 8 = 0, -2*p - 4 = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*q**2 + 20*q**2 + 102*q**2)*((-9 + 9 + 5*q)*(1 - q - 1) + q**2 + 0 + 0) + q**4 + 2*q**4 - 4*q**4.\nAnswer: -409*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 122 + 63 + 5*f + 0*f.\nAnswer: 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1047\/21 - 5\/(-35). Suppose -v - 2*g = -15, -v + g = -4*v + c. What is the third derivative of 6*d - v*d**2 - 6*d + 13*d**6 + 3*d**6 wrt d?\nAnswer: 1920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -2*i + 1989*r - 1992*r, 3*i = -5*r - 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 6:43 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 0*z**3 - 7*z**3 + 10*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-39))\/((-3)\/9).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -19. Let b = -46 + x. What is the tens digit of (b\/(-8))\/(7\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12338272.2 - 1124.37.\nAnswer: -12339396.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 15*w + 15. Let y be h(16). Let t(c) = -6*c - 2. Let l be t(y). Suppose 1378 = l*g + 5*a - 373, 2*g = 4*a + 882. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1090188 and 6204?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -197484\/13?\nAnswer: -197484\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1081 + 906. Does 2 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66190, 66189, 66188, 66187?\nAnswer: 66186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4963870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2026366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 8*t = -10*t + 180. Solve 606*u - 612*u - t = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-l**2 - 2*l**2 + 5*l**2)*(3*l - l - 4*l) + 1620*l**3 - 15485 + 15485 as m*l**2 + n*l**3 + w*l + j and give n.\nAnswer: 1616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**2*d + b**2 + 800*b*d + 364 wrt d.\nAnswer: b**2 + 800*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -65 (b) -2\/17 (c) -2\/3 (d) -2\/13 (e) -0.3 (f) 100\/7 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/21, -0.1, 0.5, 0.16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 880 - 869. Solve 9*t - 11 = -f + w*t, 0 = -f + 5*t + 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjstjttjsjjsjst. What is prob of picking 3 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/(w\/(w**(1\/3)*w*w))))**(-5)\/(w**(-3\/4)*w*w*w*w**5) assuming w is positive.\nAnswer: w**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7574486 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: What is the second biggest value in 1\/5, 0.3, 241, -0.27, 2\/27, 27, -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-278)\/7645*(3 + 1 + (-473)\/172)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -3 + 462\/132)\/((-12)\/(-472))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -1.1717?\nAnswer: 17.5755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46778, -76354, -105940, -135542, -165166?\nAnswer: -194818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 338, 751, 1328, 2069?\nAnswer: 2974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 6705.\nAnswer: 6705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240984206?\nAnswer: 2, 3, 7, 11, 157, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1 = -2. Let k(n) = 13*n - 73. Let a be k(6). Sort a, c, 1 in descending order.\nAnswer: a, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of c**3\/6 + 2*c**2 + 2*c. Let d be b(-5). Let s be (-2 - d) + 10\/2. Solve r + r = -s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.78455 - 0.1\nAnswer: -0.88455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 h, and 1 x when three letters picked without replacement from jjtthjxbxrrt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/4 in 11, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37.6 + -31.\nAnswer: -68.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -8*l - 384. Let o = 65 - l. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 170 = 11*x. Suppose -x = -3*l - 10. Is 3754\/l + 4\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/25? (a) 0.3 (b) -3\/7 (c) 0.2 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 266, 537, 808?\n\"Answer: 271*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.853874ml to litres.\nAnswer: 0.007853874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 27570*t**2 + 412495*t - 384930.\nAnswer: 5*(t - 5499)*(t - 14)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -20 + 3 + -6 + -3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 77865*r**2 + 623165*r + 1168575.\nAnswer: -5*(r - 15581)*(r + 3)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*z, 4*z - 23 = 3*z - 4*w. Suppose z*u + 3*s = -0*u, 5*s - 7 = 2*u. Let x be 2\/78*(u - -4). Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/18 and (7\/168)\/((-4)\/198).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 63\/28*(52\/3)\/13. Let j(l) be the second derivative of 0*l**2 + l**w - 3\/20*l**5 + 0 + 1\/4*l**4 - 4*l. Find d such that j(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 995 - 396. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 33*n**2 - 61*n + 5. Let v be c(35). What is the greatest common factor of 30 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2115869 to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1190974 is divided by 595481.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31369\/3426 + -6\/571. Let v = -13758319849895\/6173860656 - -2\/128622097. Let q = -2230 - v. What is the common denominator of n and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/11)*d*d*d**7)**(-5\/2)*(d**(4\/3)*d*d*d**5)**(-1\/33) assuming d is positive.\nAnswer: d**(-2455\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*d + 18 = 0, o - 3*o - 5*d = -23. Suppose 42 = 2*p + 2*u, p - 108 = -3*p + o*u. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7470486313 to the power of 1\/2, to the nearest integer?\nAnswer: 86432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 20 = 4*j, 34 = 4*u + j + 60 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 12*f - 312. Calculate the greatest common factor of f and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000297295 to six decimal places.\nAnswer: 0.000297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**4\/12 - f**3\/3 - 4*f. Let i(w) = -w**2 - 5*w - 1. Let j be i(-4). What are the prime factors of m(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v\/(v**4*v*v*v))\/v)\/v)\/(v*v**(6\/11)))\/(v**2\/(v**(-5)\/v))*v\/v**(-6\/5)*v**(-5)*(v**1*v)\/v**6 assuming v is positive.\nAnswer: v**(-1284\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - (-5 - (1 - 9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**2 - 12. Let t(s) = -s**2 - 3. Suppose o + 5*q + 8 = -6, -4*q - 20 = 3*o. What is o*m(i) + 18*t(i)?\nAnswer: 2*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*u**2 + 270*u**2 + 120*u**2 as x + f*u**2 + m*u and give f.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uululpulppupppu. Give prob of picking 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 189170455969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17197 is divided by 90.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*t**3*u**3 - 9*t**3*u**2 - 143*t**3*u + t**2*u**3 - 4*t*u**3 + 2541*t*u wrt t?\nAnswer: 48*u**3 - 54*u**2 - 858*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1914048 months to centuries.\nAnswer: 0.000159504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/((-195)\/6) - 130860\/(-156) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*k - 4, -3*k + 4 = 2*j - 5*k. Suppose 20 = j*l - 4*u, -2*l + 0 = -3*u - 19. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1) + (-1511 - -1533) + 0 + -95?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {v: 4, w: 8, u: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Let l be q(-7). Is -2 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28954020 divided by 1478?\nAnswer: -19590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 124.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**1*t*t)**(-9)\/(t*t**(-2\/5)\/t*t**(3\/8)) assuming t is positive.\nAnswer: t**(-1079\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0.2 (c) 2748 (d) -0.1 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a century?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f + 4. Let u be x(8). Let y = u - -36. Which is smaller: y or 4\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4726837937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 204680 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/27)\/(5\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 22*s**2 - 22*s + 12. Let w be g(-21). Suppose 4 = 3*d + q, q = d - q - 13. What is the highest common factor of d and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(1170\/(-52)) + 8\/1230*-22?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*t, 0 = -2*m + 3*t - 2*t + 355. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 17*z**2 + 28 - 10)*(-5 + 1 + 2) + (-z**2 - z**2 - z**2)*(0 - 4 + 2) - 3*z**2 - 2*z**2 + 3*z**2 + (-z + z + z)*(z + 1 - 1).\nAnswer: -29*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a gram in milligrams?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2976*r**5 - 332*r wrt r.\nAnswer: -59520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 14) to base 9.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/5)\/h**14)\/((h*(h*h**1)\/h*h)\/(h*(h*h\/(h*h*h**(-1))*h)\/h*h)) assuming h is positive.\nAnswer: h**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 12) + 0 + -3 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 448*q**2 - q. Let l(g) = 21*g - 3. Let u(w) = 26*w - 4. Let h(v) = -4*l(v) + 3*u(v). Give t(h(n)).\nAnswer: 16128*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241 + 169. What are the prime factors of r?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -0.04 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 673 and -0.114.\nAnswer: -76.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 65. Let y be (1\/x)\/(2 - 28\/12). Let o be (-2)\/(-3)*6\/4. Sort y, o, -4 in decreasing order.\nAnswer: o, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2027 + 2085. Calculate the greatest common factor of 2146 and b.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 151721105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 1 - 30 - 43 - 7 + 79.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*u - 781*u - 68*u**3 + 273*u + 281*u - 102*u**3.\nAnswer: -170*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12149 divided by 3\nAnswer: 12149\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19896 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -30*x - 350. Let u be l(-12). Calculate the highest common factor of 470 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.12 times 41795\nAnswer: 715530.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246*z**3 + 5 + 4 - 5 - 514*z**3 to the form s*z + v + j*z**2 + w*z**3 and give w.\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**3 - 6*t**2 - 2*t**3 + 2*t**2 + 3*t**3.\nAnswer: 2*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(3 + (-9597)\/(-66)). Let j = -297 - l. Let a = -0.67 + -3.33. What is the closest to 1 in j, a, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n + 67. Let m be x(-9). Suppose -t - 71 = 3*l - 0*t, 0 = 4*t - 16. What is the units digit of (-190)\/l - 2\/m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200311 (base 4) in base 16?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t - 4 = 0. Let h be (2\/t)\/(1\/(-3)). Let a = -76414 + 76416. Solve a*p - p = -h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 4:38 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-8)*j**(-4\/7)*((j\/(j*j\/(j*j**0)*j))\/j*j)**43)\/(j**6\/j**(-1)*j**(6\/7)*j**(2\/7)) assuming j is positive.\nAnswer: j**(-418\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7565 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 90*g - 229. Give n(48).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*o - 235*o = 0. Suppose 7 + 21 = 4*g. Put 1, o, g in increasing order.\nAnswer: o, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142*b**3*f**3 + 79*b**3*f**2 + 69*b**3 + 336*b**2*f**3 - 10*b**2*f - 2*b*f**3 - 2*b*f**2 - 97 wrt b?\nAnswer: -852*f**3 + 474*f**2 + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - a6a83?\nAnswer: -a6a85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14))**(-1\/46)\/(a*a\/(a\/a**(-38))*a\/(a\/(a*a**(-46)))*a*a) assuming a is positive.\nAnswer: a**(1847\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (145 - 171 - (-3 - -15)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 44*o**3 + o**2 + o + 1. Let z be h(-1). Let t = -13 - z. Let f = t - 28. Are 5 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.629 - 13.367. Let o = z - 0.004. Let r = o - -23.39. Round r to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxoxooxxoxxbbxob. Give prob of sequence bo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + ((sqrt(2) + 1)*-5)**2 + 1*sqrt(2)*-5.\nAnswer: 46*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (256\/(-24))\/((-4)\/6). What is the highest common divisor of 1296 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -633, -1258, -1883, -2508, -3133, -3758?\nAnswer: -4383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1053\/(-81) + -5 + (-17)\/(-4) + (-1930)\/(-120).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -288.2.\nAnswer: -286.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 3. Let k = -18 + 13. Let l be q(k). Calculate the highest common divisor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppxxv. Give prob of sequence px.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440600 divided by 5?\nAnswer: 288120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 0 - (-8 + 4). Suppose -d + 19 = -l, -o*l - 2*l = 0. Suppose 32*q**4 + 16*q**3 + q - d*q**2 - 11*q**2 - 17*q - 2 = 0. What is q?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h + 3. Let q be b(-3). Let v = 19 - 14. Suppose 4*s + 4*p + 8 = 0, -5*s - 31 = -v*p + 29. Which is bigger: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t = -56. What is the remainder when 41 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from rrrrnrrrrrnr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4 + 98*a**3 + 684*a**2 - 10688*a + 25024 = 0 for a.\nAnswer: -34, -23, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 14178 (c) -5 (d) 1\/9 (e) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m. Let x(a) = a**2 - a - 1. Let n(y) = 4*y**2 - 3*y - 5. Let z(u) = n(u) - 5*x(u). Calculate z(j(r)).\nAnswer: -16*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-510)\/135*(-1323)\/(-98)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d = -37*d + 16. What is the second smallest value in -3, -1, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37955 is divided by 18956?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/7 + 216345*s\/7.\nAnswer: -3*s*(s - 72115)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13 + 2*h - 4*h + 161*h**2 - 220*h**2 wrt h.\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 8:31 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -71*i - 204. Let h be f(-3). Solve -h*k - 5 - 31 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24224)\/(-18) + (-54)\/(-243). Suppose -i = -5*d - 4*j, -14*d + 9*d + 1350 = 5*j. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a - 114. Determine y(38).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 109561*m**3 - 1181339*m**2 - 10521525*m - 18000297 = 0.\nAnswer: -1029\/331, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.062 + -0.079. Let x = h - -0.01549. Round x to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7639 times -1.1\nAnswer: 3.04029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 6. Let f(v) = -v**3 - 8*v**2 + 10*v + 11. Let q be f(w). Suppose -q*g + 108 = g. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2739 + -1590. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) - 5*sqrt(85))*4)\/sqrt(5) + (sqrt(425) - (sqrt(425) + -3)) + sqrt(425) + -5)**2.\nAnswer: 44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -430 + 33550?\nAnswer: 33120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001214 (base 5) to base 6.\nAnswer: 12213145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + 7 + 4 + -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-334)\/(-7) + (-8)\/(-28). Suppose 7*o = 11*o - d. Let a(k) = -k**3 + 14*k**2 - 14*k + 7. Is a(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15168 (base 9) to base 3\nAnswer: -112012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*u + 7. Let h(x) be the second derivative of x**4\/12 + 7*x**3\/6 - 27*x**2\/2 - 76*x. Let q be h(-9). Sort 1, u, q.\nAnswer: q, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1014882000 to the nearest 1000000.\nAnswer: 1015000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0.3, 1\/2, 2.\nAnswer: -22, 0.3, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10)*(-4300)\/1290.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.078 + -0.922. Which is the nearest to -1? (a) r (b) -2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 882144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/6 and 61\/119.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 778 and 20.\nAnswer: 7780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 10*r - 5. Let l be j(1). Suppose f - 868 = -5*n, l*n - 4*f = 419 + 434. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*o - 25*o - 72. What is the remainder when 151 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z\/z**(-8))\/z*z*z*z)*z\/(z\/(z\/z**(-5))*z)*z*z)**3\/(((z\/(z**7*z))\/(z*z**7))\/(z**1*z*z*z)**(22\/3)) assuming z is positive.\nAnswer: z**(97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0 - 3*p**2 + 4*p - 1 + 5*p. Let r(c) be the third derivative of -c**5\/60 + c**4\/6 - c**3\/6 - 5*c**2 + 1. Let h(m) = -5*r(m) + 2*s(m). What is h(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 + 183. What is the remainder when a is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*l**2 + 7*l + 5*l**3 - 4*l**3 + 32*l**2 to n*l + z*l**2 + s*l**3 + j and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -297, 5, -7 in descending order.\nAnswer: 5, 3, -3, -7, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/2869 or -1?\nAnswer: 4\/2869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*i - 30, 3*i + 16 = 3*m + 2*i. Solve -m*v - 15 = 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -895956 or -7167659\/8?\nAnswer: -895956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 268727.7346 rounded to the nearest one thousand?\nAnswer: 269000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*n + 156*n + 133*n + 135*n - 546*n.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.45 + 6.15. Suppose 2*d - 3 = -d. What is the second smallest value in d, -6, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*p + 45*p - 4783*p**2 + 47*p.\nAnswer: -4783*p**2 + 48*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -1 + 7*x - 1\/2*x**2. Let t(z) = -z + 6. Suppose -2*i = 1 + 9. Determine i*t(h) + 4*g(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*z - 1761 = -50*z. Suppose -122*l = -119*l - z. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -23*c - 113. What is q(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11065755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2447 + -6827?\nAnswer: -4370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 1, b: 4, g: 5}. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6072 - -6077. Suppose 0 = 4*p + 20, 2*p = b + 3*p + 4. Solve -3*v + d*j - b = 0, 3*v + j = 8 + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*n**2 - 48 - n - 16*n**2 + 218.\nAnswer: 59*n**2 - n + 170","meta":{"dup_signals":{},"source":"polynomials__collect_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: ((-72278)\/426 + 169)\/(42\/9 + 3)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -11. Suppose z*b - 29 - 21 = -3*a, 5*b - 4*a - 47 = 0. Suppose b = -5*k - 14. Sort 7, -3, k in decreasing order.\nAnswer: 7, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(90\/(-6)))\/(113\/12543)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27667909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - -4) + 3 + 1421 + 5?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1. Let s(u) = u**2 + 2*u + 2. Let f(y) = 2*i(y) - s(y). Calculate f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 29*g + 211. What is m(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1987 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 + 5965453.\nAnswer: 5965453.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*f - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 47*j + 204. Determine c(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10001102210221 (base 3) to base 14\nAnswer: 303493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-6 - -4) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 7:41 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 7126570 = -77*m + 68760227. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 9*f**2 + 8*f + 20. Let q be m(-6). Let o be (q - 81)*(-129)\/(-2)*-2. What is the highest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - i**2 + 131*i + 52*i.\nAnswer: -2*i**2 + 183*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -449 (b) -4 (c) 9\/5216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 35 + 4027. Let w = -274 - c. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/7)\/a**(1\/6))\/(a**(2\/11))**21 assuming a is positive.\nAnswer: a**(-2039\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1\/2)*v)**(-1\/4))**(-1\/57)*(v**(1\/3)*v)**(1\/44)\/(v**(-5\/6)\/((v**(-3)*v*v*v)\/v)) assuming v is positive.\nAnswer: v**(-629\/5016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 61824 and 115920.\nAnswer: 927360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {g: 1, i: 11, o: 3, m: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 11654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260762, 1043087, 2346962, 4172387?\nAnswer: 6519362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -3\/4, -90, -5.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/5, -5, -0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + -36. What is q rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19936?\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-4)\/3)*524\/131?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, b: 3, w: 1}. Give prob of picking 4 t.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 18 = -x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*939\/(-2504).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2357.07+333192811\nAnswer: 333195168.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 44 = 4*o, -31*o + 28*o + 2*n = -10. Determine i, given that 8\/3*i**2 + 0*i - o*i**5 + 0 - 32\/3*i**3 + 14*i**4 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 25*k + 1879. Let y be w(-75). Suppose -2*r = -4*x, 5*x = 2*r + 5 - 3. Solve -x*q = -q + y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -56 in -0.03, 4, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/14 and -123\/400.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -4, -3 in ascending order.\nAnswer: -4, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -264, -243, -222, -201, -180, -159?\n\"Answer: 21*b - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 + (1 - (-6 + 6)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5660 + 29634. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -576*s + 3899. Give y(7).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + 12*t + 57. Let a be m(9). Suppose a*z = 1099 + 1181. What is the greatest common factor of 38 and z?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 227\/(1*(-5 + 4)). Let w = -100 - r. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.0285\nAnswer: -0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 10 = -4*y, 5*v + 2*y + 4*y = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 76940 divided by -20\nAnswer: -3847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -12090000 to the nearest one hundred thousand.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*v**4 + 9*v**4 + 4*v**4 + (2 - 2 - 4*v**4)*(5 - 5 - 1).\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 10*u + 60, -42*u + 40*u + 32 = -3*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**3 + 5755*z**2 - 17310*z = 0?\nAnswer: -1154, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*x + 784 = 0, 2*x + 3*x - 820 = -4*h. Suppose 10*y - h = 5*y. Let r = y - 37. Is 5 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, y: 1, k: 2, r: 1, l: 1, o: 1}. What is prob of sequence yko?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -5*q**4\/4 + 4*q**3\/3 + 5*q + 3942. Let y(x) = -6*x**3 + 3*x**2 + 5. Calculate -4*v(p) + 3*y(p).\nAnswer: 2*p**3 - 7*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -2. Suppose -2*s + 326003 = -q, -2*q = -3*q - a. What is s rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 541 - 539. Which is the biggest value? (a) x (b) 0.5 (c) 1\/470\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6597 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w. Let y = -169 + 174. Let n(m) = m. Let p(t) = y*n(t) + o(t). Let k(z) = -8*z. Calculate k(p(q)).\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*o + 15 = 0, -2*g - 603*o - 3 = -604*o - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 9, 0, 3\/2, -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63950072 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -r + 7. Let z be 4*12\/r - 3. Suppose 2*d = -z*d - 400000. What is d rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -2*c**7\/63 + 17*c**6\/15 + 8*c**5\/3 + 3*c**4\/2 - 1604*c. What is g in y(g) = 0?\nAnswer: -1, -1\/2, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18491, -17635, -16779, -15923, -15067, -14211?\n\"Answer: 856*c - 19347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 = -3*y, 21*y + t - 5 = 23*y. Let i(x) = -x**2 + 2*x - 4. Let q(d) = -d + 1. Calculate y*i(u) - 3*q(u).\nAnswer: u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -35*x - 178. What is the remainder when 88 is divided by b(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -0.5 (b) 0.06 (c) -0.1 (d) -2 (e) -228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (26991\/(-18)*16\/2)\/(-2). Suppose -6*h = -8*h + b. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 7\/5 (c) -1 (d) 0.0039\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvq when three letters picked without replacement from {k: 1, v: 3, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*c**3*j**2 + 747*c**2*j**2 wrt c.\nAnswer: 732*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -125 + 20. Let x be (-26999)\/r - 6\/45. Let m = -136 + x. Is 34 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2. Let c(h) be the second derivative of 0 + 5\/12*h**4 - 9*h + 0*h**3 + 0*h**2. Determine c(r(u)).\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*m - 75 = -4*m, -2*m - 50 = -2*z. Suppose -3*p - 2*p + z = 0. Suppose -3*h + p*h = -4*n, 3*n - h + 5 = 0. Which is smaller: n or 1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*v - 2*d - 12, 5*v = 2*d for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -23 and -12313.\nAnswer: -12336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 186, 130, -104, -576, -1346?\nAnswer: -2474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 15 = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2 = 7*h - 3*h, -3*b + h = -5. Let t(p) = -p**2 + 8*p + 50. Let z be t(12). Solve b*d + 2 + z = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-3)*s))**(3\/8)*s**(-2\/25)*s**(-9\/5) assuming s is positive.\nAnswer: s**(-151\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-33)*i)\/i))\/i*i\/i**(-2\/127)*(i\/i**(-29))\/(i*i\/((i*i*i**(2\/9))\/i)*i) assuming i is positive.\nAnswer: i**(71138\/1143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(((-150)\/(-9))\/(-5)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c + 57. Let u = -306 - -312. Let q be x(u). Solve 2*v = -q*l + 13, 2*v - l + 5 = 2*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 47850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15505141 to three dps.\nAnswer: -0.155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32666?\nAnswer: 2, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 203 + -1 + 0 + -2. Let w = i + -103. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000017890725144 rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7815.\nAnswer: 3, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 w, and 1 o when three letters picked without replacement from {b: 1, w: 5, o: 8, d: 2, u: 3}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 6*l**2 - 12*l + 12. Let k be w(4). What is the third smallest value in -1\/14, k, -3, -0.06?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -225, -5 in ascending order.\nAnswer: -225, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -28407 * 8\nAnswer: -227256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37769870 + -37770034.808844. Let n = 27.807874 + y. Let k = 137 + n. Round k to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s + 207. Let g(m) = 3*m + 138. Determine -8*g(w) + 5*q(w).\nAnswer: -4*w - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 + 407*q**2 - 134*q - 1068. Calculate f(-136).\nAnswer: -1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -178.26 - -177.8. Sort 0, -0.3, q, -2\/9 in increasing order.\nAnswer: q, -0.3, -2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/35)\/((-4)\/(-14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 + -0.9. Which is the closest to -1\/2? (a) -1 (b) -3\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*i - 51*i - 4*w - 13, -2*w = 2*i + 10 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/sqrt(3) + -1.\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6357039 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 13 + 3*b + 0 - 32)*(-7247 + 24*b + 7247)*(1 + 2*b - 1).\nAnswer: 144*b**3 - 2160*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, o: 5, b: 1, k: 3, f: 5, l: 2}. Give prob of sequence fb.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 962, 958, 952, 944, 934, 922, 908?\n\"Answer: -d**2 - d + 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -10 + (0 - 0 - (4 + 8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1443 - -1446. Solve -16 = -17*y + 13*y, -x*u - 20 = -5*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4231502 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**6\/120 - r**5\/10 - 23*r**4\/24 + 2*r**3\/3 + 2*r**2 - 3*r - 36. Determine s(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -971 by -6.\nAnswer: 971\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 6, 16, 4, 6577, 3 in descending order.\nAnswer: 6577, 16, 6, 4, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/539 and 29\/42?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 0.2 (c) -0.5 (d) -0.1 (e) -886\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)\/(l\/l**(-6))*(l*l\/(l\/(l**(-1\/3)\/l))*l)**35 assuming l is positive.\nAnswer: l**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45.8 + -40. Let r = 7.27 - 0.27. Let b = r - w. Round b to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 43. Let a(p) be the first derivative of p**3 + 5*p**2 - 20*p - 47. Let r be a(2). Calculate the greatest common factor of d and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 683 + -675. Is o bigger than -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*k**2 - 57*k**2 + 9*k**2.\nAnswer: -169*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*y - 10. Solve 3 - y = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -6, -2.\nAnswer: -6, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*(sqrt(1539) - (-1 + sqrt(1539))) + -1 + sqrt(1539) + -3)**2.\nAnswer: -576*sqrt(19) + 6412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1020.7636 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5841 divided by 531\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41910 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: (10\/15)\/((65\/(-120))\/13)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -8*g - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 441059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 5 (c) 3\/79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 805986363 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4)*5*2. Let c = b - 2. Let v = -1 - -1. Solve -x - c*x = v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.9425mm to micrometers.\nAnswer: 173942.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 11) to base 4\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*j. Suppose j = l - 5 + 8. Suppose -12 = 2*k + 2*k. Is k equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-227)\/(65376\/640))\/(8\/12)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1095, 2190, 3315, 4476, 5679?\nAnswer: 6930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 34*k**2 - 37*k - 114. Let b be g(-33). Let o(p) = 3*p + p**3 + 0*p - 18*p**2 + 18 + 5*p - 3*p. List the prime factors of o(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-14) + 4\/14. Suppose 460 = 112*m - 135*m. Let c be ((-17)\/(850\/(-15)))\/((-2)\/m). Solve -c*q = -4*q + g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/18713738 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 - 58. Let h = 30 - 18. What is the remainder when d is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 11:52 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1169861\/30 - -38991. Let y = -1\/1461 - -39941\/10227. What is the common denominator of g and y?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + 22*s**2 + 7*s**2 + 8*s**2.\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - y**2 + 1. Let k be b(-1). Let u = -45 + 55. Let t be 104\/u + (-6)\/15. Solve -k*v - v = 5*a - t, -3*v - 2*a = 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001483 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -251767)\/(-2 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 2*m**2 + 4*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 - ((-130)\/(-15) - 7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 21 = 13. Let x = 22 - y. Suppose -120 = -v - 2*r, -5*v + 720 = x*r + 105. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-24))\/(((-126)\/(-1365))\/(3\/(-10)))?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, l: 7, m: 4}. Give prob of sequence klmk.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -19b?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = -5. What are the prime factors of 5\/z*1*80?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-27)\/2)\/(12\/32). Let m be (r\/30)\/((-4)\/10). Suppose -4*z + m*v + 28 = z, 0 = 2*z - v - 11. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -29\/80229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110.3342 minutes in hours?\nAnswer: 18.50557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*k**2 + 46*k**2 - 24*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 403 + -408. What is the third biggest value in 1, y, 4\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/8)\/((-2)\/8). Let f(m) = -m - 4. Suppose 3*y + 1056 = -t, 2*y + 4224 = 45*t - 49*t. Let n = t + 1060. Let k(j) = -5. Calculate n*k(b) + u*f(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Let k(q) be the first derivative of -8*q**3 + 14. Determine k(g(u)).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*b**3 - 191573*b - 190*b**3 + 191573*b.\nAnswer: -542*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 less than -7.13?\nAnswer: 65.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77623 a multiple of 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3481719 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 545.8603 + -99.8211. Let o = z + -446. Round o to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 196 + -377?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -18*o**2 + 4769*o + 562. Determine g(265).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gooo when four letters picked without replacement from ggoogooo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/25 - 0)\/(170\/(-25)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*z**2 - 100*z**2 + 352*z + 210*z**2 - 352*z - 258*z**2.\nAnswer: -284*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9865*a + 5143*a - 685*a**2 - 6380*a**2 - 7327*a wrt a?\nAnswer: -14130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -645*l**5 - 168*l wrt l.\nAnswer: -12900*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2572498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5343464, 5343462, 5343460, 5343458, 5343456?\nAnswer: 5343454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 y when three letters picked without replacement from {f: 3, y: 11, p: 4}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*g**4 - 6*g**4 + 4*g**4)*(-6 + 3 + 1)*(3 - 1 - 5).\nAnswer: -126*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**6\/20 - j**5\/15 + 5*j**4\/24 - j**3\/6 - 9*j**2. Does 14 divide h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:08 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1959*r + 316*r - 37891 = 7609 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -12. Suppose -o - 4 = -5*d. Let j = 13 - d. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (48\/27 - 2) + 260159\/(-261). Let d = -587 - r. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18884520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570221\/4 bigger than 1142554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -29*m**3 + m**2 - m - 2. Let o be f(-1). What is the first derivative of -73*r + 12 + 21 + o*r wrt r?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19380 = 30*f - 13*f. List the prime factors of f.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59018803 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -2*m + 2*b + 14, 30 = 3*m - 3*b. What is c in c**4 - m*c + 7*c**4 + 9*c**3 + 3*c**4 - 8*c**4 - 3*c**2 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 1281*v**2 - 8860*v - 67. What is w(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. List the prime factors of (5\/4 - -2)*p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115 + -49 + 44 + (-3 - 21).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 411 divide 415658685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - t - 11 = 0, -5*a - 3*t - 2*t + 50 = 0. Find the common denominator of (-146)\/(-48) - a\/(-21) and 61\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from {e: 4, u: 1, s: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12323154 - 12323159.0000152. Let d = 5 + p. Round d to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 1 - (-5 - 12\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27326915.8525 - 0.085\nAnswer: -27326915.9375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -989, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + (-235)\/(-470) + 10842\/(-297).\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30a88 (base 13) to base 2.\nAnswer: -10101010110111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0 = -4. What is the least common multiple of 1 and (-1 - c)\/((-2)\/(-12)*-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -25 - (-378)\/(-9).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -861978, -1723846, -2585708, -3447564, -4309414, -5171258, -6033096?\n\"Answer: 3*u**2 - 861877*u - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6591 by 4.\nAnswer: -6591\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 divided by -6007.\nAnswer: -291\/6007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 3. Let j be m(0). Let r(i) = 9*i**2 + 5*i + 6. Let s be r(j). Calculate the highest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16773*g - 3306 = 16659*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.0938 microseconds in milliseconds?\nAnswer: 0.0260938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 340020694 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: What is 888581 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 76, -0.004, 2, 3, 0.2?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 171582712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 26. Let g be (-2)\/(-5) + 12\/(-45). Put g, 2\/3, r in increasing order.\nAnswer: r, g, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90436 to the power of 1\/2, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-2016)*-914 - (-6)\/(-9) and -37\/91.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 670*h + 1585 = 353*h. Let k(y) = -9*y - 5. Let n(f) = 13*f + 8. Give h*n(w) - 7*k(w).\nAnswer: -2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003045 to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09460140515878 + 1.7.\nAnswer: 1.79460140515878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, -9, 4\/7, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsuxksuxxsfksx. What is prob of picking 1 k, 1 s, and 1 x?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c**3 - 12*c**2 + 57*c - 429. Determine y(6).\nAnswer: -2031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 3*l**2 - 2*l - 3. Let c = -10 + 16. Let i = -2 + c. Suppose w - i*w = 9. Give k(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 47*x - 3. Let w(t) = -t. What is w(v(a))?\nAnswer: -47*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -0.06131.\nAnswer: -1.04227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -293 (base 10) in base 4?\nAnswer: -10211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8829752068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221323 - -112201?\nAnswer: 1000130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 891115*y**2 - 747304*y wrt y.\nAnswer: 1782230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 - -2.496. Let t = r - -0.10400101. What is t rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 471652*b + 0 + 0.\nAnswer: 471652*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/30 and -106\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 26 + -43 - -25) + (0 - 27) + -1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -469, -470, -471, -472, -473?\n\"Answer: -n - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.5, 4, 0.08, -6.9?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 6*r**2 + r - 4. Let a be w(6). Let x(i) = i**3 + 2 + 0*i + 6*i - 10*i - 10*i**a + 3. Let d be x(5). Round d to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - g + 1, 2*v + 2*g = 134. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -1 (c) 189\/26 (d) 2 (e) -1\/3 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - y - 34. Calculate the remainder when 76 is divided by u(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/313 + -11957\/6573. Let o be 2 - ((-125652)\/(-20475))\/4. Let m = -2\/2275 - o. What is the common denominator of m and w?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23159\/10 + -2318. Calculate the common denominator of -2 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -78\/749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/((-112)\/42) - (-9*4 + -2). Calculate the greatest common factor of 7093 and g.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*u = -2 - 0, -5*t - 2*u + 29 = 0. What is the smallest common multiple of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*h + 170*h - 9135*h**3.\nAnswer: -9135*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9831 + t - 9831 + t**2 + t**3. Let r(b) = -5*b**4 + 2*b**3 + 4*b**2 + 4*b - 35. Let a(d) = -4*k(d) + r(d). Find the first derivative of a(l) wrt l.\nAnswer: -20*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17\/80 + -3\/16. Which is the closest to i? (a) -4\/7 (b) -3\/4 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-1)\/(-3)*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*p + 19 - 207 = 0, 3*c - 4*p = 142. Suppose -c = -2*o + 74. What is the units digit of (-2)\/3*o\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8274*f**2 - 16545*f**2 + 8269*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 8770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.6 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 22 - 3*f - 16 + 9*f - 7. What is m(4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b + 83. What is s(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 3. Let t be d(9). Let l(o) = o**2 + 7*o + 8. Let r be l(t). What are the prime factors of (-3)\/(-1) - (-16)\/r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -2310 - 1) + -12 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2460 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 + 80\/(-182). What is the closest to 0 in w, -6, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 8 + -9 + (1 - -10) + -88 + 65?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 12*g - 11. Let f be w(-11). Let y(z) = 3*z**3 - z**2 + 2*z - 1. Let l be y(1). Let a be 2\/(-3) - (-2)\/l. Is f greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 6*y + 16. Let r be k(-3). Let a be (r\/(264\/342))\/((-9)\/24). Let u(w) = 19*w. Let i be u(2). What is the highest common divisor of a and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 - 9*n - 7. Let s be k(4). Suppose -5*h + s*p = -65, 3*h = -0*h - 2*p + 54. What is the least common multiple of 30 and h?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3552 and 743811?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 99*y**2 - 1049*y - 14184. Give z(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-17 + 10)) + 12\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110 times 0.6\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*c**4 + 5*c**2 + 409*c?\nAnswer: 396*c**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*w = 24, -171*a = -172*a - w + 7. Solve -7 = 2*f + a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_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: Convert 686225.9 kilograms to nanograms.\nAnswer: 686225900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53805200 and 7600.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 16 = -14*k. Let a = 151.5 + -167.5. Let u = 1.2 + -1. What is the closest to -2 in u, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/30 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(76)*-2 - (((-2 + sqrt(76))*3 - sqrt(76)) + sqrt(76)) - 6*(-3 + sqrt(76))*2)**2.\nAnswer: -143934 + 18360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((0 - 1) + 3)\/((-26)\/(-226187)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28070?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223238 is divided by 15945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8751 (b) 4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*b - 230*b + 56*b + 66*b - 28*b**3.\nAnswer: -28*b**3 - 58*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 0 + 36. Let f(x) = -x - 9. Let h(s) be the third derivative of -s**3\/6 + 3*s**2. What is o*h(r) + 2*f(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 29. Suppose 2*x - 14 = -b*x. Differentiate 42*j**2 - 11 + 17*j**4 - 42*j**x wrt j.\nAnswer: 68*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssscnnscssconsos. What is prob of sequence onco?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -19*a + 612. What is n(29)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -20859 in increasing order.\nAnswer: -20859, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -6\/19 (b) -1.518 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n - 2*h + 122 = 0, 0 = 3*n + 3*h - 360. Suppose -4*b + n = -90. Is b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 15*c**2 - 14*c + 13. Let d be -12 - 4\/(-4) - -1. What is the remainder when m(14) is divided by (12\/d)\/(6\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -588, -1134, -1676, -2214, -2748, -3278, -3804?\nAnswer: -4326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -904610 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/2, 2\/7, 2\/5.\nAnswer: -5, 2\/7, 2\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/sqrt(2) + 0)**2 + sqrt(13) - (-1 + (sqrt(13) + -2 + sqrt(13))**2).\nAnswer: -42 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 10837, 1, -19, 0, -1\/6, -2\/11?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g - 43. Give o(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (236*g - 139*g + 23*g**2 + 2 - 74*g)*(4*g**3 - 4*g**3 + 2*g**3).\nAnswer: 46*g**5 + 46*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(2 + (sqrt(405) + (-4 + 3 + sqrt(405) - sqrt(405)))**2 + sqrt(405)).\nAnswer: -12240 + 270*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11\/19, -3, 1\/3, -2\/3, -1\/161, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37853 is divided by 7558?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(0*d**3 - 2*d**3 + 0*d**3) + 2*d**3 + 0*d**3 + d**3 - 47*d + 47*d - 10*d**3 to x*d + u*d**3 + c*d**2 + q and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 448 = 5*n. What is the greatest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5574878?\nAnswer: 2, 17, 23, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1528 and 764.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13774302?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 10) + -24 + 61 - 5.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 411.5 times 0.39?\nAnswer: 160.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50, -58, -78, -116, -178, -270, -398, -568?\n\"Answer: -i**3 - i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = -30. Let j(o) = o - 2. Let y be j(4). Suppose 0 = y*d - v - 32, -5*d + 80 = 3*v + 2*v. What is the remainder when d is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 0 + 8 + 0 + 5 + 2*z**2 - 12*z. Let v = -19 + 28. Is u(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, -188, 0.3, 1\/5 in increasing order.\nAnswer: -188, 1\/5, 0.3, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42149\/39 or 1080?\nAnswer: 42149\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l - 19*l**4 + 0 - 23 + 3 - 6*l**3 + 5 + l**4 wrt l.\nAnswer: -216*l**2 - 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -285*z**2. Let l(y) = 2*y. Calculate l(j(w)).\nAnswer: -570*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 11) to base 13\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.81 + 20.84945. Round u to three dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 851?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037794 rounded to 4 decimal places?\nAnswer: -0.0378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 23490.1nm?\nAnswer: 0.00234901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:04 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010 + -1100100110?\nAnswer: -1010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 34. Which is the nearest to r? (a) 5 (b) -0.09 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -23. Suppose -5*b + 3*o = -35, 2*b + 0*o - 5*o - 33 = 0. Suppose t = -b*t - 15. Which is bigger: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593 is divided by 307?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 120*s + 115.\nAnswer: 5*(s - 23)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 2?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3363 + -4142?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:50 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13845 and 2461155?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 7*j. Let u be g(9). Suppose 0 = -k - 2*r - 0 + 9, 2*r - u = -4*k. Let l(p) = k*p - 4*p + 3*p. Let n(a) = -3*a**2. Calculate n(l(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = -0. Solve 5*y + 33 = -4*u, -m*y + 5*u = 13 + 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 6. Let f be -4 + t + (-4)\/(-2). Let l be (f\/(-4))\/(-4 - -3). Which is bigger: 2\/15 or l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121200 - 221211212?\nAnswer: -1011110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 90*n**2 - 2*n + 1. Is j(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29530 - -147647\/5. What is the second biggest value in 114, 8, p?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3\/2 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/10)\/(21\/(-15)))\/(-13 + 58149\/4459).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 846 = -31*z + 926 + 697 + 866 for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07 and 369.\nAnswer: 369.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157434632*m**2 - 127040254.\nAnswer: -314869264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.23 + 197.63. Let o = n + -177. Sort 5, o, -9, -8 in descending order.\nAnswer: 5, o, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -60 and -93115.206.\nAnswer: -93175.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 3 (c) -351\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 3*q = -a - 805, -3*q - 5*a = -511. Calculate the remainder when (q\/(-8))\/(6\/(-16)) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22010237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2. Let r = 941\/8 - 118. What is the biggest value in 0, r, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 321, 483, 631, 759, 861, 931, 963?\n\"Answer: -o**3 - o**2 + 172*o + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 3. Let y(s) = -6*s - 2. Let c be y(-3). Suppose 0 = q + q - l + 8, -4*q - c = 3*l. Let v be h(q). Solve b - v = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17885 by 17885.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12566, -12575, -12588, -12605, -12626, -12651?\nAnswer: -12680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 + 1058*g. Let n(w) = -4512*w. Give u(n(q)).\nAnswer: -40716288*q**2 - 4773696*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, 0.4, 0.5, 3\/7 in decreasing order.\nAnswer: 4, 0.5, 3\/7, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyj. What is prob of picking 1 w and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/120 + y**5\/12 + 7*y**4\/24 + 4*y**3\/3 + 23*y**2. Calculate f(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -22*i**3 - 288*i**2 - 35*i + 26. Give n(-13).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h - 3 + h**3 - 1\/2*h**2. Give w(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 228 = -0*y. Suppose -4*r + r = -y. Solve 7*i - 15 = 2*o + r*i, 5*i = -5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 4:39 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -9 - (5 - 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -958*l + 52680. Calculate a(55).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17643206 divided by 2.\nAnswer: 8821603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.186 * 63.\nAnswer: 11.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7\/6)*g*g\/((g*g**(2\/3))\/g))**48)**(2\/141) assuming g is positive.\nAnswer: g**(16\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j + j**2 + 8*j**2 - 94 - 7*j**2 + 93 + j**3. Let d(i) = 6*i**3 + 10*i**2 - 22*i - 6. Let o(w) = 3*d(w) - 16*t(w). Give o(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zseqfyqzzsezqyy. What is prob of picking 3 z and 1 f?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 4, 2, -2, 5\/967182?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59980 and 872.\nAnswer: 52302560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 18 = -4*a, 0 = -2*a + 1 + 3. What is the least common multiple of 1 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2 + 20169*r**3 + 15*r - 10083*r**3 - r - 17*r**2 - 10085*r**3. What is x(16)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -0.06 (c) -1 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -493039386*c**5 + 1123630598*c**2 wrt c?\nAnswer: -29582363160*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 2a?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 225014*o**2.\nAnswer: o**2*(o - 225014)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 43, 54, 47, 16?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a*a**(2\/9))))*a*a*a*a\/(a\/((a**(-4\/9)*a)\/a))*a*a)\/(a**0)**50*a**(-2)\/(a\/a**(2\/17))*(a**0\/a)**11 assuming a is positive.\nAnswer: a**(-487\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -171*s + 230*s - 129*s as f + k*s and give k.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-86)\/34 - ((-3 - 10) + 10). Factor y - 6\/17*h**2 - 8\/17*h.\nAnswer: -2*(h + 2)*(3*h - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -176*f**3 + 9*f**4 + 49*f**2 - 9*f**2 - 27*f**4 = 0.\nAnswer: -10, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 27 = -3*u + 33, 0 = 5*u + 3*i - 98. Is 19 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y. Let g = 26 + -25. Calculate d(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y**2 + y. Let t be g(1). Let a(i) = -i + 6. Let c be a(t). What is the third derivative of -c*m**2 + 3*m**2 + 0 + 0 + 8*m**6 wrt m?\nAnswer: 960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 10*n - 12. Let h be 3*3\/9*1. Suppose -17 = -2*f - h. List the prime factors of j(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6 = -3*h - 12, -3*h + 2*f = 0. Does 15 divide 43\/3*(-6)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120518317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44171*i - 44173*i + 88345*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 - 78.5. Let s = -1800 - -1803. Which is the smallest value? (a) m (b) s (c) -158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 5. Let g be (x + (-15)\/(-12))*-75. Let n = g - -19. What is the nearest to n in -5, -2\/5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 280.97 - 5.97. Let k = t + -273.83. Let w = -0.13 - k. What is w rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 150083, 150069, 150055?\n\"Answer: -14*p + 150097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173688 and 39651523?\nAnswer: 7237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 21*l + 134. What is c(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u - s - 37, 0 = -4*u + s - 138. Let o = u + 114. List the prime factors of o.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*c - 12 = -348, 0 = 5*s - 5*c + 350. Let m = s + 84. What is the lowest common multiple of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55346 - 3\/2*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 7*r + 2. Let w be z(-7). Suppose 0 = u + v - w, -2*u = 3*u - 3*v - 10. Suppose 5*o + u - 27 = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3\/8 - 3630657*h**2\/8 + 7261311*h\/8 - 3630655\/8 = 0. Calculate h.\nAnswer: 1, 3630655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 4*u + 3. Let g be z(-4). Suppose -4*l + 777 = -g. Let v = l + -1595. Round v to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117852073.\nAnswer: 3187, 36979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/90 and -67\/220.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -7. Let i(g) = -3*g**3. List the prime factors of i(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54.5133 - 3.\nAnswer: 51.5133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 8) to base 4.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 277901.7ns?\nAnswer: 0.2779017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2258560?\nAnswer: 2, 5, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29957 + -17179. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*w = -0*w + 25, -5*w + 15 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13041, 3, 1806.\nAnswer: 3, 1806, 13041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 387.\nAnswer: 5\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + 21134032?\nAnswer: 21134056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 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: Let b = 12854 + -12834. Put 3\/4, 1, b, -0.1 in decreasing order.\nAnswer: b, 1, 3\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, v: 1, l: 5, c: 1, x: 3, b: 5}. What is prob of picking 1 v and 1 z?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -99458*s**2 - 1784*s - 8 = 0. What is s?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693*s - 2*s**2 - 2*s**2 - 1342 - s**2 + 695*s.\nAnswer: -5*s**2 + 2*s - 1342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -47. What is the hundreds digit of (-3 + g)\/((-10)\/(-880))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l*l**(-3))\/((l\/((l**3\/l)\/l))\/l*l**(1\/2)) assuming l is positive.\nAnswer: l**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15807, -15705, -15453, -14979, -14211, -13077, -11505, -9423?\nAnswer: -6759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-171)\/(-24)*9\/36*32.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 88752, 354998, 798742, 1419984?\n\"Answer: 88749*v**2 - v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - w**2 - 31*w**3 + w**2.\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gujrsgs. What is prob of picking 1 g, 1 j, and 1 r?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 10:08 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 141408936*u**3 - 3*u - 70704474*u**3 + 5*u - 70704465*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*2 - -3. Let y be (-22)\/(-8) + 1\/m. Suppose -2*s = -4*s. Solve s = -4*j - 3*w + 9, -j + 2 = 4*w + y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00948 to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**2. Let q(w) = 3*w**2 + 3*w. Let a(x) = -32*x**2 - 34*x. Let d(s) = 6*a(s) + 68*q(s). Determine z(d(b)).\nAnswer: -720*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 6:28 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1113031100 (base 4) to base 10\nAnswer: -357200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*w + 72 = 0, 0 = a - w - 37 + 4. Solve 9 = 8*v - a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-2 + 2) + 3. Suppose -2*j + 125 = s*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 30 = -7*r. What are the prime factors of 27\/2 + r\/4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.063 + -0.063. Let c = 109\/4 - 27. Put c, g, -0.6 in descending order.\nAnswer: g, c, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2.2. Let x = l - -0.5. Let w = -4 + 6. Which is the third biggest value? (a) w (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4334 = 6*q - 23672. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-3))\/(12\/(-72)))\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -2. Suppose -2*o + 2 + n = 0. Suppose 3*i - i - 54 = o*j, 2*i - 46 = -4*j. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100001 + -22011?\nAnswer: -122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4146.7053079\nAnswer: -4147.7053079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4041 <= -715\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 117*s - 24224. What is f(85)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, -8, 3, -1\/3 in decreasing order.\nAnswer: 142, 3, -1\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3118.99998184 - -3119. What is x rounded to 7 decimal places?\nAnswer: 0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/(-36)*(1 - -5). Let v = d - 31\/4. Which is the third smallest value? (a) 3\/2 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 - (-1 - -1) - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*b*h**4 - 94*b*h**2 + 2*h**3 wrt h.\nAnswer: 1320*b*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 793, 1582, 2371, 3160, 3949?\nAnswer: 4738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 57\/2. Which is the third biggest value? (a) h (b) -3\/4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - p**2 + 0*p**2 - 5*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j - 2*j + 76 = 0. Let h be (-45)\/21 + -2*1 + j. Let q = -0.074 - -0.014. Sort h, -0.2, q in decreasing order.\nAnswer: q, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28289496 by -28289496.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -25, -7, 31, 95?\n\"Answer: h**3 + h**2 - 6*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -292*y**2 + 8539 wrt y.\nAnswer: -584*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w + 2. Let n(u) be the first derivative of u**2 - 3*u + 9. Suppose 4*p = -2*p + 18. Give p*x(v) + 2*n(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51446 equal to 257236\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 747.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 566402\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77178 and 570.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = 8*g + 121. Let -8*a**2 + a**3 + g*a**3 + 4*a + 24*a**2 = 0. What is a?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j + 0*j)*(-j - 4*j + 3*j) - 78*j**2 + 310*j**2 + 21*j**2.\nAnswer: 247*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 684*o**5\/5 - o**2 + 49*o - 727. Find the second derivative of d(f) wrt f.\nAnswer: 8208*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (-79 - (13 + -44)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14055280 - 15244720. What is p rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 702557 by -17.\nAnswer: -702557\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1094842 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 18 + 0*d**4 + 0*d**2 - 4\/5*d**5 + 0*d + 2*d**3. Find the third derivative of q(j) wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of -d**3\/6 + d**2\/2 - 2*d. Let i = -3 + 23. Calculate the remainder when i is divided by v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1253, 1255, 1259, 1265, 1273, 1283, 1295?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Let p = 5 - d. Put 0.4, -4, p in increasing order.\nAnswer: -4, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5. Suppose m = q + 1. Suppose s = m*s. Solve -4*c + s + 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, x: 2, u: 1}. What is prob of sequence ddxx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:42 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216451.\nAnswer: 216451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 66391 + 4?\nAnswer: 66395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 922323 + 132.\nAnswer: 922455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8596 is divided by 156?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -9, 4, 20287?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 4 = -7*t. Let y(a) = -3*a**2 - 2*a - 2. Let j(c) = 2*c**2 + c + 2. Give t*j(b) + 3*y(b).\nAnswer: -b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*n + 3*n + 14*n + 12*n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106045 or -3264?\nAnswer: -106045","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/292595 <= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2957 and -101.7.\nAnswer: 2855.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**2*y + 3*o**2 - 4*o*y - 645*y - 2 wrt o?\nAnswer: -2*o*y + 6*o - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20786, -20779, -20772?\n\"Answer: 7*o - 20793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 + 912 - 1117 - 6*r**2 - 2*r**2 + 2*r**2 + 11*r to v*r + z + g*r**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -15*p**3\/2 + 1565*p**2\/2 - 20540*p + 6760 = 0.\nAnswer: 1\/3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -14?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -134 divided by 3492437\nAnswer: -134\/3492437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54 + 0*g**2 + 0*g**2 - 9*g - 2*g**2 - g**2.\nAnswer: -3*(g - 3)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 + 17*z**2\/3 + 56*z\/3 + 52\/3.\nAnswer: (z + 2)**2*(z + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(52\/12*3))\/(-14 - (-30 - -14))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/13 - 1726*w**3\/13 - 38880*w**2\/13 - 201312*w\/13 + 241920\/13 = 0. Calculate w.\nAnswer: -840, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109227, 2, -857.\nAnswer: -857, 2, 109227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -39700752 divided by 8344\nAnswer: -4758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1133 + -1?\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -574 + 4591\/8. What is the smallest value in t, 0.4, 5, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20912 bigger than -20916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/5, -0.34, -1\/12 in decreasing order.\nAnswer: 3, 2\/5, -1\/12, -0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-40)*d)*d\/d**0 assuming d is positive.\nAnswer: d**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e5 - -b?\nAnswer: -d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (694\/(-2) - 11). Calculate the highest common factor of 494 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -0.301545 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 26\/9 - (9 - 6)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*l - 49. Let z(u) = u + 2. Let o be z(-2). Solve o*q = -5*q - l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320854351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 + 133. Calculate the remainder when 241 is divided by (-2 - o)\/((-134)\/(-44) - 3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*u - 480*u + 874 = 0 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.97 - -4.8. Let k = -95.83 - -96. Let h = k + o. Which is the second smallest value? (a) h (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 124848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-41)\/(-13)) + 28\/13. What is the tens digit of 267\/((38 + -32)*o\/40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:36 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935727391?\nAnswer: 935727391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let d(j) = 2*j - 1. Let h(b) = -b. Let g(n) = -d(n) + 3*h(n). Determine g(o(l)).\nAnswer: 5*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - 10 - (-3)\/((-9)\/12). Put q, 1\/3, -3\/5, -28 in ascending order.\nAnswer: -28, q, -3\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9608 divided by 7943?\nAnswer: 9608\/7943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.347076 milliseconds to microseconds.\nAnswer: 5347.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28677092 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -26. Suppose -2 = -5*i + o. Let a be 1*(20\/i + -3). Solve 0 = -l + a*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4 + 1670352*w**3 - 348956521328*w**2 + 82283978233920*w - 4853382882663200 = 0. Calculate w.\nAnswer: 118, 417470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*q - 15*q - 51. Calculate the greatest common factor of q and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 44 = -d, -5*d + 1 = w + 5. Let t be 14\/(-49) - 18\/w. Is t at most -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i = 17*i + 4*x + 36984, 55518 = 3*i + x. List the prime factors of i.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27612788891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-21))\/((-91)\/(-468)*(-9)\/(-21))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 15*a + 216 = 0. Let j = a + 84. Let f = 105 + -60. What is the highest common divisor of j and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.72 + 0.22. Let t = 3.5 + c. Let g = 15.11 + t. Is g at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**5\/20 + m**4\/3 - m**3\/3 + m**2 - 3*m. Let n be x(4). Let i = n + 12. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15931 and 261.\nAnswer: -4157991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzz. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -11 - (389 - 404 - (85 - 0) - -13).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.504488184 to three decimal places.\nAnswer: -0.504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19*-1977\nAnswer: 37563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*i + 559*i - 225*i.\nAnswer: 67*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/9))**(10\/9)*(k**(-2\/5))**(11\/3) assuming k is positive.\nAnswer: k**(-694\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 17108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 27*k + 102. Let h be q(-4). What is the greatest common divisor of 1105 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(30)\/(sqrt(3) + sqrt(9)\/sqrt(3))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725605931.\nAnswer: 601, 1207331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.3894 - 1.3894. What is the fourth biggest value in -602, m, -1\/3, -3?\nAnswer: -602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)**(-28\/9)\/(f**(1\/3)\/f)**(4\/17) assuming f is positive.\nAnswer: f**(500\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 91\/(-21)*1*-3. Suppose -5*h + l = -12. Let a be 2\/(-3) - 28\/(-6). Sort h, 3, a in ascending order.\nAnswer: 3, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/12, 163213, -0.12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3345 - 1469. Does 67 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6500718um in nanometers?\nAnswer: 650.0718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1196\/(-11))\/(-4) + (-4)\/22. Suppose -z = -3*j + w, -7*j = -4*j + 2*z - 18. Solve g = 3*u - 6, -2*g + j = 2*u - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -893 - -505. Let q = -388 - u. Solve -2*x = 5*t - x, q = -3*t - x - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q + 20, 2*a + 3*q - 34 = 0. Suppose -42 = -10*u - a*u. Solve -2*p + 18 = u*t + t, p - 3*t = -9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63689228 less than 131.35?\nAnswer: -63689096.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 + 2*u**2 - 1. Let w be c(-1). Suppose -191*d - 199*d + 780 = 0. Calculate the greatest common factor of d and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112033548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 1654.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -12*m - 1 + m + 8*m - m. Calculate f(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 9.2. What is the nearest to 1 in 6, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.2, -4, 38\/137?\nAnswer: 38\/137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (341311*x - 341311*x - 6*x**2)*(-3 + 0*x + 2 + 4*x).\nAnswer: -24*x**3 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -126291?\nAnswer: 2\/126291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-4 + 4 - r) - 3*r - r + 5*r - 4*r + 4*r + 2*r + (0 + 1 - 2)*(-2*r - 2 + 2).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -3*i - 8, 6*i - 5*q = 2*i - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 11:06 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(152) - (sqrt(152) - (sqrt(152) + 4*sqrt(152)))))\/sqrt(8) - (3 + (sqrt(19) - (-1*sqrt(931) - sqrt(19))))**2.\nAnswer: -1548 - 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z + 1. Let b = -13 - -6. Let f(g) = 7*g - 7. Let q(a) = -10*a + 10. Let u(k) = b*f(k) - 5*q(k). What is -m(p) + u(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 207\/72 + (-2)\/(-16). Suppose 2*v - 16 = -5*m, -i*v = -6 - 3. Let u(r) = r - 6. Let l be u(6). Solve m*q = -l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + -1 + 1440\/(-8). Let w be (-11133)\/63 + -1 + 20\/28. Which is bigger: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g**3 + 86*g + 172. Let x be v(-2). What is the highest common factor of x and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229 - 245. Let a(q) be the third derivative of q**6\/120 + 4*q**5\/15 - q**4\/8 - 4*q**3\/3 - q**2. What are the prime factors of a(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 839440 and 839440.\nAnswer: 839440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8659589, -17319170, -25978751, -34638332, -43297913, -51957494?\nAnswer: -60617075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - 286\/(-39)) + (-17)\/69. Which is the closest to 2? (a) g (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8004 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8538686 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39878 divided by -157.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 10*p + 4. Calculate z(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.708304 milliseconds in microseconds?\nAnswer: 4708.304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z**2 - 3. Let v(a) = -a + 9. Let d(o) = 2*o - 1. Let n be d(-5). What is the remainder when h(3) is divided by v(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/14*60\/72?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7351 = -1158*s + 105*s + 1073 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 - 116. Let g be 18\/40 + (-1)\/4. What is the second biggest value in g, -2\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1043 + 2*i**3 - 506 - 537.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/7))**(1\/11)\/((m\/(m**(-7\/5)*m))\/(m\/((m*m**(-2)*m*m)\/m))) assuming m is positive.\nAnswer: m**(-164\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(19) + -1 - sqrt(38)\/sqrt(2)*6).\nAnswer: -25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 8 = -4*k, 5*k - 4*k - 10 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6059, 12089, 18097, 24077, 30023, 35929?\n\"Answer: -k**3 - 5*k**2 + 6052*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169580839 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x - 2. Let v(p) = p**3 - 14*p**2 - 32*p - 3. Let w be v(16). What are the prime factors of (w\/x)\/(-3) - -34?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 48.3 (b) 0.1 (c) 0.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -2. Let l(t) = 2*t**2 - 4*t - 1. Let m be l(3). Suppose 0 = 3*b + c + 14, 0 = -4*b - 3*c - 15 - 2. Sort n, b, m in decreasing order.\nAnswer: m, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -115 - 5*y + 115 + (3 - 3 - 10)*(-2 + 3 - 2)*((-3 - 1 + 2)*(2*y - y - 3*y) - 2*y - 2*y + y) - 3*y + y + 0*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 + 75. Let n = -13 - z. What is the least common multiple of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -485 + 489. Suppose 0 = -5*t + m*l + 21, 15 = -5*t + 4*l - 9*l. Let k = 7278\/11 + -661. Which is bigger: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 1.846?\nAnswer: 9.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**30\/k)\/k)\/k**(-17)*(k\/(k*k*k**(1\/7)\/k))**32 assuming k is positive.\nAnswer: k**(283\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - o + 1 = -2*u, -u + 5 = 5*o. Factor 6\/7*l - 4\/7 - 2\/7*l**3 + u*l**2.\nAnswer: -2*(l - 1)**2*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1.269, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 4*x - 16, -m + 20 = 5*x - 0*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 675910192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovo. Give prob of picking 1 v and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = o + 69, -2*o + 5*c - 138 = c. Let x = 71 + o. Solve -2*a = -4*a + x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*(-26)\/(-39)*1\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*d**5\/7 - 460*d**4\/7 + 180*d**3\/7 + 2560*d**2\/7 - 118*d\/7 - 300 = 0. What is d?\nAnswer: -7, -75\/31, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 34\/63?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -88? (a) -0.1 (b) 0.5 (c) 37 (d) 247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 356*b + 2443. Let h be t(-7). Let p(w) be the second derivative of -1\/45*w**4 + 0 + h*w**2 - 6*w - 1\/45*w**3 - 1\/150*w**5. Factor p(k).\nAnswer: -2*k*(k + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-45))\/((-4)\/6)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2 - 0. Let j(a) = -4*a**2 - a + 4. Let h(f) = -9*f**2 - 2*f + 9. Let s = 28 + -28. Suppose 4*t = y - s + 21, 5*y = -t. Determine n*h(k) + t*j(k).\nAnswer: -2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -21, 0.78, -5, -1\/2, -63\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 15 = 2*x - 4, 0 = -x + 2. Let q be ((-5)\/(-20))\/(j\/(-30)). Which is the second biggest value? (a) q (b) -0.3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 3*q**2 + 4*q**2 + 2*q + 0*q - 3. Let x be a(-3). Let m = x - 15. Is 5 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 3*n**2 + n - 4. Let r = 27 - 24. Let z be i(r). Let f be z - (3 - 520003) - -1. Round f to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17717, 29769, 41821, 53873?\n\"Answer: 12052*t + 5665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9*t**2 + 54*t + 3. Give y(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*b*o**3 - 15764*b*o - 2*b - 16*o**5 - 841*o**3 + 1 wrt o?\nAnswer: -72*b*o - 320*o**3 - 5046*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2718422 or -2718424?\nAnswer: -2718424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1728611286?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8802451 + -8802473.000115. Let t = -5 + -17. Let m = t - s. Round m to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 15. Let j be (6\/f - -1) + 12. What is the greatest common factor of 90 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12483278*q**2 - 24966578*q**2 + 0*q + 12483297*q**2 - 13*q.\nAnswer: -3*q**2 - 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**3 - 2*g**3 - g**3)*(50*g**2 + 105*g**2 - 6*g**2) + 1 - 1 - g**5 + (g**4 - 3*g**4 + 0*g**4)*(4*g - 4*g - 2*g).\nAnswer: 152*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -9 + 4 - (-3 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.2, -2\/7, 4, -5 in increasing order.\nAnswer: -5, -2\/7, -0.2, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 16583 + 8309 + 8274.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**8\/d*d\/((d*d\/d**1)\/d)*d assuming d is positive.\nAnswer: d**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 745*v**2 - 48830*v + 183080.\nAnswer: 5*(v - 46)*(v - 4)*(v + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3167 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(147) - (1 + -2*sqrt(147)) - sqrt(147)*1*4 - (sqrt(147)*-2 + 3 + 3 + -5))**2.\nAnswer: -28*sqrt(3) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 + 9*v + 4. Let p be r(3). Solve 4*i = -8 - p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.4706 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3 - 5. Suppose -4*o = 4*j + 2 - 22, -2*o = -c*j + 10. Suppose -j*d + 11 = 1. Solve 13 = -5*y - d for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -74.6. Let z = 8 - 7.5. What is the nearest to h in 5, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/7)\/b)**(-37))**(1\/18))**(-36) assuming b is positive.\nAnswer: b**(148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 433843140 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2156136, 2156187, 2156238?\nAnswer: 2156289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 226, -4 in decreasing order.\nAnswer: 226, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1, 78, -94 in increasing order.\nAnswer: -94, -12, 1, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61817, 123553, 185289, 247025?\nAnswer: 308761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/2*48\/30. Solve w*f = -d + 2*d - 1, f = -3*d - 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/20*1*(250\/56)\/(-25).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*1*3\/(-6). Put -1, -5, m in ascending order.\nAnswer: -5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = -4, 4*q + 2*a = 6. Suppose 3*k**3 - 3*k**4 - q*k - 2*k**2 - 13*k**2 + 9*k**3 + 9*k = 0. Calculate k.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -54. Let r(i) = i - 15. Let o be r(f). Which is the closest to 1? (a) -2 (b) 2\/19 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -398 - -279. Suppose 49*z - 7*z + 10038 = 0. Let u = b - z. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -10*z + 5*z. Let i = 18 + z. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -440 - -440.3. What is the closest to 1 in 0.4, -1\/2, 2\/15, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e0 - 762?\nAnswer: -942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216321 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 72592?\nAnswer: 72591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**3\/3 + b**2 - b - 2. Let f(i) be the first derivative of d(i). Differentiate f(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-2))\/((-1)\/(-2)). Solve -w - w = -m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14938 and 113544?\nAnswer: 128482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 1. Let a(i) = i**2 - i + 1. Let n(h) = a(h) + v(h). Let w be n(6). Suppose 3*p - 391 = w. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2. Suppose 12*d = d + 11. Let c(y) = -76*y - 75. Let i(f) = d*c(f) + 5*w(f). What is the derivative of i(a) wrt a?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 5 - n**2 + 12 - 45*n**3.\nAnswer: -45*n**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/15)*y)\/y**2)\/(y\/(y\/(y*y**(-1\/6))*y)*y**0) assuming y is positive.\nAnswer: y**(1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - w + 1 = 7, 2*w = 3*l - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(10\/9)*t\/(((t\/(t*t**(-7))*t)\/t)\/t)*(t*t\/(t\/(t*t*t*t*t**(-4)*t*t*t)))**(3\/8) assuming t is positive.\nAnswer: t**(-43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 36. Let t = 42 - u. Calculate the remainder when 51 is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 2*v**2 - v**2 - 8*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47.158 + -47.1770456. What is f rounded to four dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1 - 1) + 1)*-3. Let a = 3089 - 1359. Suppose -5*w - v = -a, v - 564 = -x*w + 472. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**3 + 682770*k**2 + 20922746*k.\nAnswer: 6*k + 1365540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5087 - 5082.241. Let t = v + -4.8. Let s = -0.01 - t. Round s to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 32*w**2 - 2*w. Let m be (2\/3)\/((2\/(-2))\/3). Let b be x(m). What is the second derivative of 298*h - b*h + 5*h**5 - 136*h wrt h?\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z = -2. Let w(l) = 31*l**2 + 3*l - 3. Is w(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*s + 3*s - 3*s)*(18 - 18 - 9*s) - 61*s**2 + 7*s**2 + 18*s**2)*(2 - 2 - 1) as l + t*s**2 + v*s and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 - -2.7. Which is the nearest to 0? (a) 0 (b) -2.6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6381631, 6381626, 6381621?\n\"Answer: -5*o + 6381636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11\/(-88))\/(((-250)\/440)\/5))\/1?\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 164, -3, 3, 2 in decreasing order.\nAnswer: 164, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3*n = 252 - 234, -4*p + 2*n + 6 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 = 18. Suppose -3*n + 12 = -i*y - 12, 5*y = 15. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2769403, -2769421, -2769439, -2769457, -2769475, -2769493?\n\"Answer: -18*d - 2769385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 56 = -0*b + 2*b, -2*j + 44 = -3*b. Let c = 35 + -24. Calculate the remainder when (-5 + 1)\/((-2)\/j) is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d - 82. Give v(-35).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94841.\nAnswer: 94841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -282*q + 55257. Determine z(196).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 352*i**3 - 1553 wrt i.\nAnswer: 1056*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39\/8 + -43\/8. What is the biggest value in 0.5, 1\/5, r, -0.01?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7511*q**4 + 693*q**2 - 23141394*q?\nAnswer: 90132*q**2 + 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*i - 9, 3*a - 3 = 6*a + i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -77*s**3\/3 - 545*s**2\/3 - 812*s\/3 - 20.\nAnswer: -(s + 2)*(s + 5)*(77*s + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**2*m**3 + 2*i*m**3 + i*m - 87*i + 5439*m**3 wrt i?\nAnswer: -4*i*m**3 + 2*m**3 + m - 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 34 = -2*c, -6*c + 10 = -c. Let b(t) = 6*t - 6. Let u(v) = -v**2 + v - 1. Determine p*u(w) - b(w).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11*m. Let g = -212 - -112. Let b = g + 104. Suppose 5*y + 8 = 3*k, -b*k + 2*k + 3*y = -5. Give p(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 8 = 0, -z + 33 = -45*f + 40*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -144 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.44862ml?\nAnswer: 0.00644862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1221 + -304331?\nAnswer: -303110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -982643.\nAnswer: -2\/982643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + p - 2*z - 1, -5*z = -5*p - 10. Let o(d) = 6*d**2 - 6*d - 9. Let n be o(p). Suppose -n = -x + 955. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35542 is divided by 2368?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22707, -45557, -68403, -91245, -114083?\nAnswer: -136917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 - 515068*b**2\/9 - 33160335320*b\/9 + 66326851600\/3.\nAnswer: -2*(b - 6)*(b + 128770)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c. Let x(m) = 78648*m**2 - 123*m. What is q(x(f))?\nAnswer: -550536*f**2 + 861*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*z**2 - 185412*z + 185412*z + 0*z**2 + 37 as x*z + f*z**2 + q and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 891*h**5 - 2646*h**4 + 2007*h**3 - 588*h**2 + 60*h = 0. Calculate h.\nAnswer: 0, 10\/33, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Let a be 2 - (0 - 0\/(-2)). Sort -2, v, a in descending order.\nAnswer: v, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/8 - 9*x**3 + 33*x**2 + 252*x + 294.\nAnswer: 3*(x - 14)**2*(x + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 9:05 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzg. Give prob of sequence zz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -58331 divided by -4487?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-4)\/o*o)\/o)**(6\/17)\/((o\/(o*o*o*o**(-3)))\/o**4))**(-1\/4) assuming o is positive.\nAnswer: o**(-21\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -12*z. Let f(u) = -14*u. Calculate f(r(n)).\nAnswer: 168*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 487611392 and 1536.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 1. Let i(k) = 4*k - 1. Let r(j) = -6*b(j) - 4*i(j). Suppose -268 = -7*s - 58. Let z(p) = -3 + 8 + p**2 - 35*p + s*p. What is 5*r(c) + 2*z(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20519 >= 20199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29506 is divided by 7374?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29756 is divided by 583?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30.84 - -30. What is v rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, and 1 z when three letters picked without replacement from {y: 5, j: 1, z: 1, v: 3, s: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 + -90. Let b = 123 - 617\/5. What is the second smallest value in r, b, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 9*f. Suppose 5*u + 2*g + 3*g = 1570, f = 5*u - 3*g - 1562. What are the prime factors of u?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**2 + 4*j - 6. Let h(m) = 3*m**2 + 37 - 42 + 4*m + 3*m**2. Let i(w) = 5*h(w) - 4*z(w). List the prime factors of i(-3).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5 = 0, s - 5 = 2*n - 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2278? (a) -3\/4 (b) -0.2 (c) 1 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2 - 57*n - 8. Let r(f) = -3*f**2 + 19*f + 3. Calculate -11*r(q) - 4*w(q).\nAnswer: q**2 + 19*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 1380105.7\nAnswer: 1380105.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/9 - 203*l**2\/9 + 1316*l\/3 + 225 = 0 for l.\nAnswer: -1\/2, 27, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26463 is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**4\/12 - h**3 - h**2 - 2*h. Suppose -7*i = -6*i + 5. Give l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36535.7 millilitres?\nAnswer: 36.5357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - m. Let i(g) = g. Let h = 12 - 7. Let n(p) = h*c(p) + 5*i(p). Let x(l) = -l**2. Determine n(x(d)).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 11 (b) -8 (c) -5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 8, -3, 4 in decreasing order.\nAnswer: 8, 4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -660908 times 0.4?\nAnswer: -264363.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 989*s**2 + 27*s - 15. Let d(v) = -495*v**2 - 14*v + 8. Let j(g) = 3*c(g) + 5*d(g). Is j(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1206.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*-2)\/(sqrt(576)*-1))**2 + (2*(0 + sqrt(325))*-3)**2.\nAnswer: 11713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0 (c) 0.01968 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594855575.\nAnswer: 5, 509, 46747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - (3 + (-3 + -2692 - 2)) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 2*h + 2. Let k be b(1). Let y be (3 - 3) + 4 + k. Factor y*l**2 - 6*l - 1\/2*l**3 + 4.\nAnswer: -(l - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/31449 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 5. Let q = -5 - 1. Let d be v(q). Let x = d + -47. What is the remainder when x is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 1)*(0 + 3 - 6) + 1 + 0 - 2 + 4 - 2 - 1)*(6 - 6 + 2*m**2).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 9824442.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/480)\/(1\/(-5))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.2, 8, -1, 14, -3 in descending order.\nAnswer: 14, 8, -1, -3, -8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*(sqrt(343) - 1*sqrt(343)*-4)**2 - ((sqrt(343) + -1)*-4 - -3*(sqrt(343) + 0))*5)*1.\nAnswer: 35*sqrt(7) + 17128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 344\/(-18662)*-403 - 10*(-12)\/(-210)\nAnswer: 48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.30757 + 1.30757. Which is the closest to -2\/41? (a) 2 (b) m (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1 + (12 - 16)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-445)\/(-5))\/(-1 - (-12)\/8) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 1438413267.\nAnswer: 1438413269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 2, r: 2, g: 4, k: 2, a: 3}. What is prob of sequence uu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 73320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wb when two letters picked without replacement from {a: 2, b: 3, q: 1, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g + 38*g - 2323. Calculate the remainder when g is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-792)\/(-196) + -4). Let z = m - 45. Calculate the remainder when (-13)\/(-1) - (-2 + 4) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 371*n - 8. Suppose -5 = -0*x + 2*x + 5*c, -x + c + 8 = 0. Is j(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 992882 is divided by 90262?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:36 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let h = l + 0. Let z be 19\/36 + 24\/108. Which is the nearest to 0? (a) h (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32496 + -32450. Let o = 65 + -40. What is the remainder when b is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2915617321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.68 times -0.1?\nAnswer: 0.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/120 + m**4\/6 + m**3\/2 + m**2 + 12. Suppose 5*r + 6 = 2*r. Give i(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 43\/1395755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1708.4 and -2.\nAnswer: -3416.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1931 and 1933 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2 - ((-18)\/(-552))\/((-6498)\/310460)\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + -13 - (3 + 0)) + 52 + 7?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4883752 and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - -2 - (-17 - -21)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -17*o**2 + 13. Suppose 0 = -7*d + 94 + 88. Let l(x) = -4*x**2 + 3. Suppose 5*i - 7 = -f + 3*f, -2*f = -2*i + 10. Give d*l(h) + f*k(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742623640?\nAnswer: 2, 5, 11, 1687781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -0.8. Let a = -14 + i. Let x = a + 13.00000035. Round x to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Let i be (2\/b)\/((-7)\/(-21)). Suppose -i*g - 3 = -3*x, -3*x + g + 13 = 2. Solve y - x = 6*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbx when four letters picked without replacement from xbbxybybb?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggrgrgsggsgsgsrr. Give prob of picking 1 r and 2 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/12 - 221*g**5\/30 - 236*g**4\/3 - 964*g**3\/3 + g**2 + 246*g + 1. Solve z(y) = 0 for y.\nAnswer: -2, 241\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-289*q - 228*q - 198*q - 313*q)*(10*q - 8*q + 10*q).\nAnswer: -12336*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j - 2. Suppose -12 = -12*s - 36. Let z(r) = 29*r + 9. Calculate s*z(q) - 9*t(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 9*s**2 + s - 5. Let j(v) = v**3 - 5*v**2 - 4*v - 3. Let k be j(6). Let r be g(k). Suppose -u - r*u + 10 = 0. Solve u*d + 1 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5 = 11. Let v be 1 + 1 - (g - -6). Is v\/(-7) + 33\/7 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -111 + 379316?\nAnswer: 379205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 - 0.09. Let u = c + 0.75. Let m = 7.7 + u. Round m to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = 20*h + 19 + 52 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 11 + -1 + (0 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63953963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + 2 + -8 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, 3869 in ascending order.\nAnswer: -5, 13, 3869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*q**3*r - 3*q**3*w**2 - 205*r**2*w - r*w**2 - 415*w**2 wrt r?\nAnswer: 4*q**3 - 410*r*w - w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -6, -155?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1 - -3)*3)\/2. Suppose n*l = l + 85. Calculate the remainder when 48 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 13*o + 1. Let n = -5 + 7. Suppose 5*t - 149 = -i - 50, 0 = -n*i - 2. What is the least common multiple of m(1) and t?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 15?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/13*(-174)\/612*-17.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**3 + 2*a**2 - 3*a + 4. What is m(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9. Let v be -4 + (1 - -1 - r). Let f be 2\/(-2) + (v - 0). Is f bigger than -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - u - 18 = 7, 3*u + 3 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t - 2*n + 5, 2*t + 2*n = -17 + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1596 - 1082 + 770)*(0*c + 4*c - c) as f*c + v and give f.\nAnswer: -5724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 119274.4 and 181.\nAnswer: 119455.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-60)\/(-36)) + (-1)\/1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-9)*21\/(-2). Let i be (-16)\/l*(-21)\/(-18). Solve -2\/3*u**3 - i*u**4 + 2\/3*u**5 + 0 + 2\/3*u**2 + 0*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - u - u)*(-4*u**2 + 5*u**2 + 4*u**2 + (-4*u - 6*u - 4*u)*(-u + 4*u - 5*u) - 3*u**2 + 1 + 3 + u**2) to x*u + i*u**3 + z + b*u**2 and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = -37 - 23. Let d(g) be the third derivative of 0*g + 0*g**3 - 3*g**2 + 0 - 1\/15*g**5 + 1\/8*g**v. Find the second derivative of d(a) wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15724 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0*z + 2*j - 90, -2*j + 134 = 3*z. Suppose 2*c + 16 - z = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 14*j + 168. Suppose 6*w - 12*w = -j. What is the derivative of -20 + m**2 + 11*m**4 - 2*m**2 + m**w wrt m?\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + q. Let d be g(1). Let a(v) be the first derivative of v**2 - 3*v - 1. What is a(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 + -63. What is a in 0 + 2\/7*a**2 + 2\/7*a - 2\/7*a**o - 2\/7*a**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r**5 - 201*r**3 + 4*r**2 + 749*r wrt r.\nAnswer: -300*r**2 - 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 383 - -1653. List the prime factors of j.\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 54 = -3*k - 2*t, -2 = -2*k - 4*t. Suppose -4*a - 9 - k = 0. Let c be (-23)\/(-5) + (-2)\/a. Solve d = c*m - 16, 1 = m + 5*d - 3*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*y**3 - 7*y**5 + 11*y**3 + 3*y**2 wrt y.\nAnswer: -420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -7*k**2 + 16*k - 6. What is n(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a - -34?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c**5\/15 - 13892*c**4\/15 + 728596*c**3\/15 - 12381848*c**2\/15 + 68142154*c\/15 + 20497036\/15 = 0.\nAnswer: -1043, -2\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5 - 0.5. Suppose 5*h - 9 = 2*m, -2*m + 1 - 3 = 2*h. Which is the nearest to d? (a) 3 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729.5797 rounded to zero decimal places?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7 - 3*m + 5*m - m - 4. Let u be k(0). Suppose -5*v + 32 = -u*l, 2*v = -v + 2*l + 20. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 3*x - 4*x)*(3*x - 4*x + 3*x) + 3*x - x**2 - 3*x - 4*x**2 + 0*x**2 + 5*x**2 + 21*x**2 + 26*x**2 + 28*x**2 as v + m*x + z*x**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -112, -174, -236?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12948.\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126 - -287. What are the prime factors of s?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8410, 8386, 8362, 8338, 8314, 8290?\nAnswer: 8266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 33178260?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-44))\/(30\/35*49\/(-112))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 426 and 134474?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, o: 4}. Give prob of picking 2 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 143 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 0 - (-180 - -187)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1.268?\nAnswer: 3.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 = -4*o, b = 2*b - o + 7. Let v(n) = 3*n**2 + 6*n - 6. Is 13 a factor of v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**3 - 60*l**2 + 88*l + 5. Let m(j) = 6*j**3 + 84*j**2 - 132*j - 8. Determine 7*g(d) + 5*m(d).\nAnswer: 2*d**3 - 44*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 11 = 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**3 + 10*o**2 + 10*o + 22. Let m(b) = -b**3 - b. Let a(v) = 5*m(v) + t(v). Let x = -20 + 30. What are the prime factors of a(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubuhhb. Give prob of picking 1 b and 2 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4b (base 15) to base 11\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2321 and 0.5.\nAnswer: 2321.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -203 + 203.558. Let g = r - 148.358. Let s = 135 + g. Round s to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, 136, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -47. Solve 2*u + 10 = -2*o + 5*u, d*o - 5*u = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/24 + 3*b**3\/2 + 2*b**2 - 7*b. Let v(q) be the first derivative of o(q). Find the first derivative of v(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 + 3*r**2 - 3*r + 3. Let u(c) = -3*c**3 - 2*c**2 + 2*c - 3. What is 2*p(n) + 3*u(n)?\nAnswer: -n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2. Let h(f) = f**2 - 29766*f + 8. Determine h(s(u)).\nAnswer: 16*u**4 - 119064*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4156073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 521.953 less than 0.02?\nAnswer: -521.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-15 - -14)) + 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: c0a6 (base 13) to base 9\nAnswer: 40314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2854?\nAnswer: 2, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2*5\/(-10))\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 3. Let y(k) = -k. Let d(n) = -4*y(n) - z(n). Let l(f) = -f**3 - 75*f**2 - 212*f + 291. Let i be l(-72). Determine d(i).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9299*w - 576545. What is p(-62)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 10*x**2 + 12*x - 23. Let s be u(9). Suppose 4*r = s*l - 16, 3*r - 2 + 8 = 0. Factor 0*z**l - 2\/3*z**3 + 0 + 0*z.\nAnswer: -2*z**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -23*l - 28. Give a(-10).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-1)\/(-14)*-4). Suppose 2*j + 3 = f. Suppose -2*w = 5*s - j*s - 27, 5*w + 3*s - 45 = 0. Solve 1 = b + w for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2 + 21*p + 7. Let o(z) = -4*z**2 + 20*z + 6. Let b(w) = -4*o(w) + 3*x(w). Let u be b(-8). Solve 0 = u*n - 3*i + 2*i - 9, 5*n = -i + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w + 2*w)*(0*w**3 + 0*w**3 - w**4) + 399*w**5 - 347*w**5 + 245*w**5 + 3546*w**5.\nAnswer: 3842*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 2*d**2 - 2*d + 2. What is p(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*k - 3*a + 121, 3*k + 4*a - 90 = 0. Is 1\/((-2)\/k)*-29 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:41 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -69*s + 2*s**2 - 4 - s**3 + 67*s - 12*s**2. Is r(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3086171*u**3 - 233627109*u**2.\nAnswer: -18517026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 4139900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1764957, -1764973, -1765003, -1765053, -1765129, -1765237, -1765383?\nAnswer: -1765573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547736190 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 411521 plus 493?\nAnswer: 412014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 45. Suppose w = 4*y - 29. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*p - 4*c, 4*c + 47 = p - 0*p. What is the second derivative of -3*w**5 - p*w - 9*w**5 + 7 - 7 wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1816, 1817, 1818, 1819, 1820, 1821?\nAnswer: 1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuiuiiucugi. Give prob of sequence gc.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t + 8179 - 8181 + 97*t.\nAnswer: 116*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -79*w + 562. Let a be z(7). Let l(y) be the first derivative of -y**3\/3 + 9*y**2\/2 - 8*y - 3. Determine l(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhgg when four letters picked without replacement from hhghhghhhhgghhhhhh.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 565500 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*x - 9 = -2, -l - x + 9 = 0. Solve 0*j - l*d - 13 = -5*j, 0 = -2*j - 2*d - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26.612 - -25.612. What is the fourth biggest value in b, -2\/5, -45, 0.3?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 11520 = -13*a. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.49.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7176, -7192, -7208?\n\"Answer: -16*o - 7160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 102 - 102 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*v - 34 = 0, -5*a - 4 + 24 = -5*v. Let w be -4*(-3)\/28 + 70\/(-49). What is the remainder when 20 + (w + 1)*a\/(-18) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 238 = 8*p - 4*i + 276, 4*p + 2*i = -50 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*w**3 + 1951 - 3*w**4 - w**2 - 1954 + 8*w**3 - w to m + s*w**3 + y*w**4 + b*w**2 + x*w and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y - 423*y + 184*y - 955*y - 155*y. Let b(i) = i. Give t(b(q)).\nAnswer: -1337*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*t - 53, 2*t = -4*p - 5 + 15. Suppose -t = 2*o - 23. What is the smallest common multiple of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72149249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2130.38*-5.\nAnswer: 10651.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47308 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Suppose 0 = 5*o - p - 8, 2*o - t*p = 6*o - 14. Let v be (-84)\/(-49) - o\/(-7). Solve v*l = -l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5836380 by 14340.\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (0 - 1)) + 5 + -1. Suppose -3*h - q = 3*c, -15 = c + 7*h - 2*h. Solve 4*b + 4*z + c = -8, 21 = -3*b + 2*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2573 is divided by 259.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3911*-5439.\nAnswer: 2127.1929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) + 0)*-3 + -4*(sqrt(11) + -2))*3)**2.\nAnswer: -1008*sqrt(11) + 5427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 44 = 3*f. Calculate the smallest common multiple of f and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*k - 1, 0 = k - 7*r + 6*r + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6693522 divided by 111?\nAnswer: 60302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 2646*u**2 + 5295*u**2 + 4*u**3 + 2*u**3 - 2649*u**2 + 3*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*f = -0*a - 384, -a - 5*f = -434. Let g be (-51)\/(-68) + 26\/8. Suppose j = g*s - a, 4*s - 5*j - 515 = -s. List the prime factors of s.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 2950\/24) + ((-162)\/9)\/216. Let h(z) = -z**2 - 23. Let x be h(10). Is m <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102 - -65?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 211193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37 + 253?\nAnswer: 21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765952 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2596594, 5193040, 7789486, 10385932, 12982378, 15578824?\nAnswer: 18175270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 4*h**2 + h - 2. Let g be w(-3). Suppose -a - a = -g. Solve a*s + 3*s + 25 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1393.8 + -1394. Let p = 85.94 - 91. Let y = p + 0.06. What is the closest to r in y, 4\/5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 85*a**4\/12 - a**3\/6 + 79*a**2 - 37*a. What is the derivative of h(x) wrt x?\nAnswer: 170*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241272599 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2051341 (base 11) to base 9\nAnswer: -6724043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41 - (25 - (-1 - (-5 - 7)))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19741335, 39482661, 59223987, 78965313, 98706639?\nAnswer: 118447965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(6 + 106\/(-18)). Suppose -2*f = 4*q + 16, 4*f - 3*f + 2 = 0. Let i be 9\/(j\/2)*q. Solve -2*x + 5*k = -10, 0 = i*k + 5 + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k + 40. Let c(w) = -4*w + 17. Let m(z) = -7*c(z) + 3*d(z). Give m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 16040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9901 + -9690. Calculate the lowest common multiple of 5 and g.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5075*h**2 + 5080*h**2 + 5085*h**2 - 15235*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 52 = 2*t. Let l = t + 11. What is the remainder when (-114)\/4*10\/l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 479, -13, 3, 1160, -3 in increasing order.\nAnswer: -13, -3, 3, 479, 1160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 510?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - -3 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1 - 0) + (-69)\/(-27) and 2 + (-8)\/12*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(136) - 5*(sqrt(136) - (sqrt(136)*-1 - sqrt(136))))\/(sqrt(48)\/(-2*sqrt(6)) + 2*sqrt(1152)).\nAnswer: -20*sqrt(17)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 3*o**2 + o + 3. Let l be 14\/(-21)*((-2)\/(-6))\/(31\/558). Determine s(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*a + 3. Solve g = -0*g - a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 8*p - 10. Let i be q(5). Suppose -4*r - 4 = -6*r. Let k(l) = l - r*l + 2*l + 0*l + 7. Calculate k(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1920 and 59776?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6*(-3 + (5 - 5)). Suppose x*n + 27 - 81 = 0. What is the remainder when n is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130304 divided by -1?\nAnswer: 130304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 18 = -8*u. Let p = 14 - u. Let b = p - -12. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4 + (-40)\/(-96). Let t = 86\/897 + 4\/69. Which is the closest to 24? (a) t (b) -1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1440 or -1436?\nAnswer: -1440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + sqrt(5) + 5 + sqrt(5))*-2 + (1*sqrt(720) + 1 - sqrt(720)))**2.\nAnswer: 324*sqrt(5) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-1)\/2)\/(0 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23102005 - 54?\nAnswer: -23102103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let j = -6 - -1. Let c(a) = a**2 + 4*a - 3. Let y be c(j). Let v(s) = 2 - 2*s**y - 2. Calculate r(v(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 11. Let j be (0 + w)\/3 - 11. Round j to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63912 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8027534.97 microseconds?\nAnswer: 0.000013273040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4547\/15502 + -7\/2022. What is the common denominator of u and 167\/2070?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1177.96552 rounded to the nearest 10?\nAnswer: -1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/90 + 3\/4*(-1216)\/(-513)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a534a - 99?\nAnswer: -a53e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 8 + 1)*(3*s - 4*s + 4*s + (4*s + 0*s - 3*s)*(6 - 3 - 1) - 3*s + s + 3*s - 1 + s + 1 - 4*s - 2*s + 5*s) as o*s + m and give o.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86243*t**3 + 51*t - 940.\nAnswer: 517458*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*i = -42. Solve i = 3*k - 0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 347328645 and 1140.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4352 = 17*q - 81*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:27 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.001, 0.24, 2, 3, -4, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((1 - (-70)\/(-40))\/(3\/(-12)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 203 + -189 + 1*-3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26241 is divided by 26230?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and -0.89.\nAnswer: -0.1335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 210380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 653 - 659. Sort c, -0.4, -2\/13 in descending order.\nAnswer: -2\/13, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.4243952974 - 0\nAnswer: -5.4243952974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 15.\nAnswer: -44\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22\/73 - 8\/511. Which is greater: 16 or m?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = 5*f - 2*y, 2*f - 5*y = -21. Let k = f - -3. Is (-1)\/((k - -2)\/(-10)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhereehehh. What is prob of sequence rerh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.045 (b) 1\/8 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(1 + (-2)\/4). Suppose -19 + 3 = -d*f. Solve 0 = -4*n - 4*p - f, 0*p + 12 = 4*p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11031 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 7:31 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l**2. Let o(d) be the third derivative of -25*d**4\/8 - d**3\/3 + 3470*d**2 - d + 2. Determine z(o(b)).\nAnswer: -50625*b**2 - 2700*b - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9033 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 27 - (13 - 5)) + 3 + 42?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -7\/3*f**3 + 0 - 25*f + 6*f**2 + 1\/6*f**4. Solve q(x) = 0 for x.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -1\/3, 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -116*r**3 + 15*r**2 + 19*r + 1363. Let x(v) = -58*v**3 + 6*v**2 + 10*v + 681. Let b(i) = -2*o(i) + 5*x(i). Differentiate b(h) wrt h.\nAnswer: -174*h**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 4 (c) -12 (d) 5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.6 + 12. Let g = i + -3. What is the closest to 1 in -2\/7, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29695182*d**3 - d**2 - 4643*d + 11783?\nAnswer: -178171092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3\/5 - 2907*k**2 + 17598249*k\/5 + 17612787\/5.\nAnswer: 3*(k - 2423)**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 171657.\nAnswer: 171616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -2*i**2 - 96*i + 48. Let o be s(-24). Let y(b) = -b**3 - b**2 + b + 12. Determine y(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-4)\/((-736)\/62). Let o = -44\/23 - u. Let d = -322 - -318. Which is greater: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011003004 rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74 - 72. Suppose 0 = -5*b + 5, q*j - 2*b = 2*b + 2. Suppose -2 = 4*v - 6, 732 = 3*k + j*v. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 3 + 2 + 3. Let d be c(-4). Let s be d*-2*1\/4. Solve -3*j = -0*l + 3*l - 9, 0 = -j - 5*l - s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 4:53 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 2\/3*m**3 + 0*m**4 + 0 + 0*m + 0*m**5 - 18*m**2 - 7\/40*m**6. What is the derivative of c(d) wrt d?\nAnswer: -63*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t + t + 0*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 127716\/(-7707) + -5 + (-39)\/(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 12256*w\/3 + 24536.\nAnswer: -2*(w - 6)*(w + 6134)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9854161.\nAnswer: 47, 71, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*((-28)\/15)\/2. Let b = c + 43\/9. Let i = -3 - 1. What is the third smallest value in i, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7476942?\nAnswer: 2, 3, 11, 113287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1985.\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/10 and -107\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*h = 614*h - 3*q - 14, -3*h - 3*q = 24 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 19*s**2 - 9*s - 15. What are the prime factors of k(-4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-2 - -10) + 58\/4. Let u be (f\/15)\/((2\/(-18))\/(-1)). Does 2 divide (-24)\/u*((-45)\/(-4))\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112000212 + -111?\nAnswer: 11112000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:02 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojjej. What is prob of picking 3 j and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/3))**(1\/5)*f**(1\/3)*(f\/f**8)\/f)\/((f**(-3\/4)*f**(-2\/21))\/(f**(-1)\/f)**(26\/9)) assuming f is positive.\nAnswer: f**(-15707\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3351 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69329, -69347, -69365, -69383, -69401, -69419?\n\"Answer: -18*n - 69311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 41120?\nAnswer: 41120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.74, 0.1, -4\/7, -0.1 in ascending order.\nAnswer: -4\/7, -0.1, 0.1, 0.5, 0.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -443.494 times 3\nAnswer: -1330.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 0.09, -40, 23, -1\/2, -1?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118561*y**5 + 2*y**3 - 55037*y wrt y?\nAnswer: 2371220*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 5*j**2 + 4*j + 1. Let r be w(4). Let a be r\/((5\/5)\/1). Is 1\/15 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7847 (base 11) in base 13?\nAnswer: 4921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4 - 22. Suppose 2*m + 0*g - 8 = g, 8 = 2*m - 2*g. Suppose m + 0 = h. Solve -h*n - 2 = -j*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 4*j - 8. Let s be m(6). Let b = s - 8. Let o = b - -10. Calculate the remainder when 21 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beiqd. Give prob of sequence eee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 20. Calculate the greatest common divisor of x and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*160373\nAnswer: -2565968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 3*i**2 + 3*i - 3. Let b be t(-4). Let o be 48\/9 - b\/3. Suppose -5*y = -4*z + 91, -5*z + o*y + 93 = -22. Solve -4 = -5*j - z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*h**2 - h**2 + 33*h**2 in the form q*h**2 + n*h + m and give q.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -358 * -0.6.\nAnswer: 214.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 1, u: 1, h: 1, o: 1}. What is prob of sequence yohu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5724 * -0.1\nAnswer: 572.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {d: 5, x: 1, a: 1, g: 1, h: 1, m: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1426 + -5. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -31, -59, -95, -139, -191, -251?\n\"Answer: -4*g**2 - 8*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 19*w - 5. Let s(z) = 1. Let j(y) = -n(y) - 4*s(y). Determine j(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 4) in base 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4. Suppose -6 = 3*i + 3*c, 6*i - 4*c = 8*i + 2. What is the nearest to n in 0.2, -0.6, i, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 2*l - 2*l + (4*l - 2*l - l)*(-1 + 4 - 2) - 30 + 52 - 26 + 4*l.\nAnswer: 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 58*w - 10*w)*(7*w - w - 4*w).\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:23 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4102.4 - -4101. What is the nearest to 0.3 in -4, c, 3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/157 or 2298?\nAnswer: 4\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 + 136. Solve -2*a = -2*h + 4*h + 10, 0 = -2*a + v*h + 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((2\/(-2))\/((-2)\/1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m**3 - 4*m**3 - m**3)*(-m - m + 8*m).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -443065 (base 7) to base 13\nAnswer: -295cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -538, 6, 0, 738.\nAnswer: -538, 0, 6, 738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -2*a**3\/15 + 12*a**2\/5 - 72*a\/5 - 25. Factor l(g).\nAnswer: -2*(g - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36 or 35?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84506 and 41259326?\nAnswer: 2914","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from kkkkkkzzkzkkzkkzkzz.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26475, -26473, -26471, -26469?\nAnswer: -26467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127926 divided by 4738?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -2*j**3\/27 + 8*j**2\/3 - 24*j + 239. Determine p so that l(p) = 0.\nAnswer: 6, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2077938379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -12, 4, -5, 4261, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 3\/((-126)\/(-12)) + 6500\/182\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5588180 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 16. Which is the nearest to g? (a) 5 (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(3*r - 4*r + 5*r) + 608 - 125*r + 124*r + 468 to the form n*r + l and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 11928 = -4*g, g + 0*g - 2982 = -5*t. Suppose -d = 6*d - g. Does 48 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 996109 divided by 4.\nAnswer: 996109\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -1630\/173?\nAnswer: -1630\/173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 1960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 10*f - 3*f. Factor -2\/7*x**2 + f + 2\/7*x**3 + 0*x + 2\/7*x**4 - 2\/7*x**5.\nAnswer: -2*x**2*(x - 1)**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(sqrt(252) + sqrt(252)*-3) + 4*sqrt(252)*4)*-4.\nAnswer: -144*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28, 62, 148, 310, 572, 958, 1492, 2198?\n\"Answer: 4*j**3 + 2*j**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1023 times -6?\nAnswer: 0.6138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 - 7630*u\/3 + 1439168\/3.\nAnswer: 2*(u - 3616)*(u - 199)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3 - 3*z + 3. Let u(v) = 5*v + 36. Let q be u(-6). Let w(i) = 10*i + 6. Let b(t) = 399*t + 238. Let k(m) = q*b(m) - 238*w(m). What is n(k(a))?\nAnswer: -42*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2474552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36.5 + -21. Let j = k + -15. What is the second biggest value in -5, j, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 19 = 4*x, 6*x = 5*o + x - 5. Calculate the remainder when -60*((-10)\/3 - o) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 580\/(-8)*(-12)\/5. Suppose -4*v + w + 470 = -i, 3*v - 468 = -3*i. Let f = v - 89. What are the prime factors of f?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4387 + 4412. Let z(g) = 2*g**3 - 50*g**2. Calculate z(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**3\/7 + 450*d**2\/7 - 1812*d\/7 + 1816\/7 = 0.\nAnswer: -454, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82521774 and 3519?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 317. Is k(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 = -21. Suppose -4*t + 3 = -i*t. Put t, 0.1, 0 in decreasing order.\nAnswer: 0.1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13172 and 14.\nAnswer: 92204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-44))\/((-9)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 9. Calculate b(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2\/2 - 3116617*h\/2 + 623323.\nAnswer: (h - 623323)*(5*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268 - -271. Solve n*q - 16 = -1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807*y + a = -809*y + 27, 3*y - 30 = -5*a for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7416812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3146280 (base 9) in base 14?\nAnswer: 31bada","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -749688398 in ascending order.\nAnswer: -749688398, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - 7*s + 19*s**2 + 2*s.\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-2 + (-58)\/(-24)). What is the closest to -4 in 1\/4, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 3 - 3)*(2*p**3 + 0*p**3 - 3*p**3)*(69 + 13 + 23) as f*p**4 + c*p**3 + s*p**2 + d*p + m and give f.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 7*a**6\/120 - 37*a**3\/3 - 25*a**2 + 12. Let z(l) be the second derivative of x(l). Differentiate z(q) with respect to q.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 1705.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31760 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**3\/11 - 6256*l**2\/11 - 2086*l\/11.\nAnswer: 2*l*(l - 1043)*(3*l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-388)\/16)\/((-2)\/8). Suppose -5*j + 63 = -i. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21571 < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 5*w**2 + 3*w + 4. Let i be m(3). Let z(u) = u**3 + 7*u**2 + 7*u - 1. Let y be z(i). Suppose 0*c = 2*c - y. Does c = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2, -6, 266288, -3 in descending order.\nAnswer: 266288, 4, -2, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**4 - 24676349*g**3 - 48*g**2 + 5*g - 646 wrt g?\nAnswer: -48*g - 148058094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64188*n + 5233*n + 19196*n + 10412*n.\nAnswer: 99029*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 561.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028545546 to seven dps.\nAnswer: 0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 892\/12711*(-2)\/(-4)*(-9)\/3\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4\/9 + 57586*c**3\/9 - 138220684*c**2\/3 + 229248440*c + 6906241200 = 0.\nAnswer: -10, 15, 14394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**4\/4 + 16*x**3\/3 - 15*x**2\/2 - 4*x - 1. Suppose -3*l + 36 = -7*h + 4*h, 5*h = -2*l + 45. Calculate f(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4509 times 33\nAnswer: -148797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + m - 16 = 0, -k - 859759*m + 13 = -859755*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 h when four letters picked without replacement from {p: 4, h: 15}.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.783 meters in millimeters?\nAnswer: 603783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1116\/403)\/(6*3\/117).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 44 and -24720.\nAnswer: -24676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(6\/(-28))\/(9\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 0*m + 4*m)*(4 - 1 - 4 + (-2 + 4 + 0)*(2 + 2 - 3) - 3 - 1 + 3 + 1 - 3 + 0 - 2 + 2 + 3) as r + o*m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(2448) + -1*sqrt(2448) - (sqrt(2448) + -4 + -1 + sqrt(2448)))**2*6 + -5)*5.\nAnswer: -10080*sqrt(17) + 295205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31544 (base 7) to base 8.\nAnswer: -17217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.93 + 79.07. Let j = -81.0047 + a. Round j to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 38*t**2 + 308*t + 677. What is l(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from qsqsqqqqsqqsqqqqqsq.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 61 + 706 + -691?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1151 - -1149. Which is the smallest value? (a) o (b) 2\/23 (c) -6 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6235 + 6235.0000011022. Round y to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**2*w + 156490*t**2 - 2*t*w**2 - 4*w**2 - 195260*w - 1 wrt t?\nAnswer: 2*t*w + 312980*t - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 2007851059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12743.\nAnswer: 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 259.9615 + 0.0385. Let u = -259.999999 + b. Round u to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15786 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -456 + 455.99999809. Round w to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 4. Determine m(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(51) + sqrt(1836)*-1))\/((sqrt(12) - (sqrt(12) + sqrt(48)))\/sqrt(4) - sqrt(12)\/sqrt(4)*2).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2))**6)**(2\/9) assuming n is positive.\nAnswer: n**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9da16 (base 14) in base 8?\nAnswer: -1354644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -5, 3\/5, -1, 47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + 0.07. Let i = 3\/5 + -23\/30. Let t be (-4)\/(-10) + (0 - (-2)\/70). Which is the third biggest value? (a) v (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-18)\/u*u**(-1\/32) assuming u is positive.\nAnswer: u**(-609\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 2*p. Suppose -13*m + 9 = -16*m. Give z(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 413, 414, 479, 638, 921?\n\"Answer: 5*j**3 + 2*j**2 - 40*j + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/(-15))\/(1\/9). Suppose 8*m - 5*m - 32 = -5*q, 2*q - y = -m. Solve 4*w - 3*h + m*h + 12 = 0, 0 = -2*w - 4*h - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2560)\/384)\/(((-6)\/15)\/(3\/(-5))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545408998.\nAnswer: 2, 257, 1061107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 53. Suppose -3*w + 6 = w + f*g, 4*g = -4*w. Solve -d + 4*m - 1 + 5 = 0, 2*d = -w*m + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.08 - 0.08. Let k = 20 - s. Let t = 2.8 + -3. Which is the second smallest value? (a) -8 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36 and -87\/776?\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 20, 4*f = -2*x + 5*x - 40. Let j = f - -270. Is j a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 17) + (17 + -10 - 3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/22 + 118\/99. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 + 71 = -6*k. What is the derivative of 3*p + k - p - 6 + 10*p wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -1, 0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4090461 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 20 = -9*l, 4 = 2*l - l - 3*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -7547 and 1\/87378 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 431125601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.07, 253, 0.1, -23 in descending order.\nAnswer: 253, 0.1, 0, -0.07, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -426*m - 2979. Let z be f(-7). What is the highest common factor of 789 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*y = -132, u - 4*u - 3*y = -198. Let a = 161 - u. Calculate the greatest common factor of a and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2822, 2821, 2820, 2819, 2818?\nAnswer: 2817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -374 divided by -2.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 90*f**2 - 2541*f - 2448.\nAnswer: 3*(f - 48)*(f + 1)*(f + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.65179nm in centimeters?\nAnswer: 0.000004165179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2158*b - 16 + 18 - 819*b.\nAnswer: 1339*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 600 (b) 6\/11 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -x**7\/735 - x**6\/105 - x**5\/42 - x**4\/42 + 11*x**2\/2 + 8*x. Let m(h) be the first derivative of b(h). Factor m(i).\nAnswer: -2*i*(i + 1)**2*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89.7 - -96. Let l = k + -6. Which is the nearest to l? (a) -1 (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 376168080 to the nearest integer?\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 2, t: 1, j: 2}. Give prob of picking 1 d, 1 j, and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddddddd. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j + 1 = 0. Let a = 4 - j. Suppose -a*n = -0*n - 25. Solve 0 = v - n + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166938108 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 18. Suppose 0 = -g*s + 3*s + 24. Let j be (8\/(-10))\/(1\/(-5)). Calculate the greatest common divisor of s and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-7))\/(42\/(-28))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -363 + 291. Suppose 0 = -5*n + 205 - 745. Let o = i - n. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12126 and 1390104430?\nAnswer: 4042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4472650.\nAnswer: 2, 5, 7, 13, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -1\/53726996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 682 + -25236\/37. Suppose 2*i + 778 = 4*c + 772, 3*c + 8 = 4*i. What is the third smallest value in 2\/3, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 14583470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 3 (b) 14 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -15*h**3 + 2*h**2 - 7*h - 7. Let d(q) = -5*q**3 + q**2 - 2*q - 2. Let n(y) = 7*d(y) - 2*g(y). What is the third derivative of n(p) wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -6 + -5 - (-8 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 84. Let z be r(0). Let y be (1\/(-2))\/((-7)\/z). Suppose 2*n - 29 = c, 11*c - y*c = 5*n - 80. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/2 + 3*h**2\/2 + 99*h\/2 + 189\/2.\nAnswer: -3*(h - 7)*(h + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*y**3 + y**2 - 13*y - 17*y**3 + y**3 wrt y?\nAnswer: -198*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/12 and -7\/7547985.\nAnswer: 30191940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (1 - (0 + -1 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -6, -1 in decreasing order.\nAnswer: 3, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 41.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243.407 kilometers to millimeters.\nAnswer: 243407000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 16 (b) -1641 (c) -1\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x - 2*x + x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29122277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 16*u**3 + 15*u**2 + 111*u - 94. Let o(l) = l**3 + l**2 + 3*l - 1. Let s(j) = 30*o(j) - 2*z(j). What is the derivative of s(k) wrt k?\nAnswer: -6*k**2 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 7:22 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**3\/3 + k**2 + 4*k + 3. Let y be v(-3). Is y\/28 - (-187)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -42*l - 339. Let b be z(-8). Sort b, 8, -12, -2 in ascending order.\nAnswer: -12, b, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2224765577 and 6.\nAnswer: 2224765583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2078148 - 4\nAnswer: 2078144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, 3\/5, 4\/3.\nAnswer: -143, 3\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 500 and 4430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.09, 4\/5, 0, 60, 1\/3, 3 in descending order.\nAnswer: 60, 4, 3, 4\/5, 1\/3, 0.09, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -269*n**2 - 97*n + 98. Let m be d(1). Do -274 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4688, 9366, 14034, 18692, 23340, 27978?\nAnswer: 32606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/7)\/(((-4)\/(-42))\/2). Find the third derivative of 7 + w*h**2 + 17*h**3 - 7 + 3*h**3 wrt h.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7846.666kg in tonnes?\nAnswer: 7.846666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -857664106*t**4 - 964*t**2 - 21423*t + 4 wrt t.\nAnswer: -20583938544*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 466532768 + 0.3.\nAnswer: 466532768.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 44 = -3*w, 149*w + 81 = 7*g + 152*w - 107 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -9*n**4 - 9*n**3 - 58*n**2 - 57*n + 1. Let b(d) = -d**4 - d**3 - 7*d**2 - 7*d. Let z(t) = -51*b(t) + 6*x(t). What is r in z(r) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 2*l**4 - 2*l + 5*l)*(-64 - 33 - 2 + 2 - 8 + 0 + (-4 + 4 + 1)*(-4 + 0 + 2) - 6 + 2 + 2).\nAnswer: -218*l**4 - 763*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, z: 9}. What is prob of picking 4 l?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Find the second derivative of -2*w**4 + 10*w + 0*w**r + 7*w**5 + 2*w**4 wrt w.\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/3)\/1 + 10. Find the second derivative of g + g**3 + v*g**3 - 7*g wrt g.\nAnswer: 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a78a6 (base 14) to base 11\nAnswer: -257387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5749.\nAnswer: 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (298\/(-12963))\/((-4)\/2 + 8\/6).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -12. Let c(y) = 2*y**2 + 16*y - 14. Let n be c(h). What is the remainder when 13 is divided by 1\/(-5) + n\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5))**(-27\/2) assuming v is positive.\nAnswer: v**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p)\/p)\/(p\/(p\/p**(-6)))*(p*(p*p*p**(-1))\/p*p)\/p*p*p*p**(-3\/8) assuming p is positive.\nAnswer: p**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 254 + 265 - 519.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**2. Suppose -y - 6*y = -224. Let t = -34 + y. Let j(k) = 3*k**2 + 2*k. Let r(v) = -v**2 - v. Let h(o) = t*j(o) - 4*r(o). Determine h(p(w)).\nAnswer: -50*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-8 + 3 - (0 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20382*k + q = 20383*k - 4, -5*q = 5*k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2*d + 3)*(-d - 3*d + 5*d) + 11*d**2 - 6*d**2 - 11*d**2)*(-3*d + 5*d - 4*d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1039, -4, -1 in decreasing order.\nAnswer: 1039, -0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -213*r**3 - 272*r**3 - 303*r**2 + 183*r**3 - r wrt r?\nAnswer: -1812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8100, -31311, -69966, -124041, -193512?\nAnswer: -278355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4600 and 83\/44?\nAnswer: 50600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -17*n**3 + 7*n**2 + 7*n - 21. Let f(k) = 31*k**3 - 14*k**2 - 14*k + 41. Let z(j) = -6*f(j) - 11*r(j). Determine z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*f - 5078 = -90650, -i - 2*f = -17113. Is i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 2\/125749?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m**2 - m + 5. Let v be o(0). Suppose 2*f = 0, -v*l + 5*f + 1350 = -1180. List the prime factors of l.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18743346 divided by -6\nAnswer: 3123891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*w + 14 = 6*o, -5*o = 3*w - 3. List the prime factors of (-184)\/o*(-30)\/20.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -15, -5*h - 7775 = k - 7750 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/35958469 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 - 19*k + 15. Let a(v) = 2*v**2 + 10*v - 8. Let z = 28 + -24. Suppose 54*q - z = 55*q. Let c(f) = q*o(f) - 7*a(f). Factor c(s).\nAnswer: -2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 47382*q + 568563. Determine r(-12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 16 - 16.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-30))\/((-8)\/(-22)). Let c = 1\/24 - y. What is the second biggest value in 0.4, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*b + b**4 + b**3 - 43*b + 72*b to the form a*b + y + x*b**4 + p*b**3 + g*b**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.442 - 0.441783. What is x rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -11*l**5 - l**2 - 11*l**2 + 9*l**5 - 14 + 0*l**2. Find the second derivative of s(t) wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 4*m - 3. Let z be q(-4). Let f be (2 + z)\/((-1)\/(-2)). Which is the closest to f? (a) -1 (b) 2\/13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 9*m + 42. Let h be (2\/12*2)\/(m\/1017). Calculate the highest common factor of h and 1469.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3429*p**2 - 5971050*p - 31344 = 0.\nAnswer: -5224\/3, -2\/381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a microsecond in nanoseconds?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -556a05 (base 11) to base 2.\nAnswer: -11011000101101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a kilogram in grams?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v + 343. What is i(55)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45723 + 1144110. Suppose 318833 = 13*t + b. Round t to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**3 - 681*c**2 + 28837*c + 18194. What is x(-170)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -2. Let m(i) = -i - 1. Let l be m(-6). Let x be l\/(20\/(-16)) - 1. Put 0.4, n, x in descending order.\nAnswer: 0.4, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v - 4. Let n(s) = -2*s + 3. Let f(o) = o. Let p(u) = 12*f(u) + 3*n(u). Give 9*j(w) + 4*p(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*w + 7 - 3)*(-32*w + 53*w - 2*w)*(-1 + 0 + 0).\nAnswer: 38*w**2 - 171*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -115*f + 716. Calculate t(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 139573.7 decades?\nAnswer: 1395.737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + -3*(-3 + (-1 + sqrt(1728) - sqrt(1728))) + (sqrt(1728) + 0)*-1*6)**2.\nAnswer: -311540 + 14400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/69606, 1\/74, -4?\nAnswer: 1\/69606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 + -51. Let h = g + -271\/5. Let p = -0.2 - -1.2. Which is the third biggest value? (a) h (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 997 + -616. List the prime factors of f.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (3 - (9 + -2)). Let i = -1 + m. Solve -5*w - i - 12 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -17*x**2 + 5*x + 5. Let z(m) = -19*m**2 + 6*m + 6. Let a(t) = 4*k(t) - 3*z(t). What is a(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 566, 1136, 1698, 2252, 2798, 3336, 3866?\n\"Answer: -4*l**2 + 582*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2575 - -4134. Is -5*(-4)\/20*j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810084 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8612.6 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 92 = 13*s. What is the greatest common factor of 115 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 6*q + 1752. Let c = q - -470. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*-2*sqrt(209)*2)\/((sqrt(11) - (sqrt(11) + (sqrt(1331)*-3 - sqrt(1331)))) + sqrt(77)\/(sqrt(7)*1)).\nAnswer: -16*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -5.9?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 8:00 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 9*f + 44 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-2982566)\/3318 - 6\/14)\/(4\/(-6)) and 355?\nAnswer: 6745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x**3 - 2452*x - 40*x**3 + 2448*x + 4*x**4 + 2*x**2 as t*x + y*x**4 + g*x**3 + o + k*x**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-486)\/18))\/(1\/27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w = -44*w + 356144. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 48 = -5*c. Suppose 5*b - c = -z, 2*z = 3*b - 4*b + 32. Suppose 4*o + 62 = 5*o. What is the remainder when o is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3514.906 centuries?\nAnswer: 351490.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byw when three letters picked without replacement from eeeeyyyeeepyeebwyey?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2. Let p(f) = 30319*f. Calculate p(u(y)).\nAnswer: -60638*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000255 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -30*w + 17472. Does 28 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 53 = -17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13713419.\nAnswer: 13713419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7 = p, 5*t = -3*p - 0*p + 23. Let g = -6 + p. Suppose 7 = -g*y + 32. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69c88 (base 13) in base 4?\nAnswer: -233023333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*l*n + 3*l*u - l + 11*n*u + n - 19*u wrt n.\nAnswer: 4*l + 11*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 68.3853 - -0.4.\nAnswer: 68.7853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247570 and 1520?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 88.84578 millennia?\nAnswer: 888.4578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 343 = 3*k + 85, h = 2*k - 172. Let t = 64 - k. Let r be -6 + 1290\/198 - (-4)\/t. Is -7 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1736, -4, -0.3.\nAnswer: -1736, -4, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -56 (b) 0.4 (c) -4 (d) 2\/3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = -5*v, 4*o - 40 = -0*o + 3*v. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245 + 247. Suppose 13*f - 17*f = l - 3757, g*f + 11285 = 3*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 2*l)*(-1 + 20 - 5)*(-1 - 4 + 11)*(4*l - 2*l + 0*l).\nAnswer: 336*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*z = 2730, -i - 5*z = -3*z - 1377. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2451648 and 2112.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 3:52 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:46 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h. Let i(f) = 4*f + 2. Let x(c) = -3*c - 3. Suppose 3*b - 5*j - 14 = -0*b, -2 = 2*j. Let z(t) = b*i(t) + 2*x(t). What is z(d(o))?\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 0. Let h = 8 + -6. Put h, x, 3 in descending order.\nAnswer: x, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2640\/1936)\/(1\/275*-5)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -0.4, -0.5, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 - 171 = -3*r, 4*r = 3*y + 210. Suppose -5*t = 25, 2*u - 20 = -t + 3*t. What is the smallest common multiple of u and r?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 4*j + 5. Let o be u(-6). Let b = o - 10. Let r = b + 35. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 40 = g - 5*l, -l - 4 = 0. Let m(i) = -3*i + g*i - 8 + 0*i. Give m(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -23*q**4 + 30*q**2 + 6*q - 2. Let o(v) = v**4 - v**2 + 3*v - 1. Let n(t) = m(t) - 2*o(t). What is the third derivative of n(z) wrt z?\nAnswer: -600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5183*b**3*k**2 + 36*b**3*k - 102*b**3 - 7117*b**2*k**2 + 1792*b**2*k - 2*k wrt b?\nAnswer: 31098*k**2 + 216*k - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7709 + 7736.984. Let s = v + -28. Let y be 10\/14 + 4\/14. Is y at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000399375 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2972027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*n**2 + 204*n**2 + 203*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -952*m - 2*m**2 + 474*m + m**2 + 477*m + 28*m**3 to j*m**3 + n + h*m + a*m**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 366 and 8.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - 3 - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.844884t?\nAnswer: 4844884000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0645168 and 29.\nAnswer: 1.8709872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(132)\/sqrt(12)*1*-5.\nAnswer: -5*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7176)\/2940 + (-196)\/(-140) - -1?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 876486.9 decades?\nAnswer: 87648.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 47. Let p = -7 + 17. Let g = p - 1. Calculate the lowest common multiple of g and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 1:47 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10915 from -2135.\nAnswer: -13050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.886 and -0.04.\nAnswer: -0.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -67504.7793?\nAnswer: 67504.3793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p - 20 = -3*t, 4*t - 28 = -2*p. Let z(k) = 200*k + 81. Is z(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 214, 5, -0.493?\nAnswer: -0.493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 3*p**2 - 2*p - 4. Let j be r(4). Suppose 2*y + 0 = -u + j, 7 = 3*y + 2*u. What is the highest common divisor of y and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 352518917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohjd when four letters picked without replacement from {q: 1, h: 2, j: 2, d: 1, o: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {t: 1, w: 1, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g**3\/7 + 8058*g**2\/7 - 146172*g\/7 - 59760\/7 = 0. Calculate g.\nAnswer: -2\/5, 20, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -17395*q - 730591. What is b(-42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:23 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p - 2*d + 2, -d + 4 = p. Solve -3*a + 3*q = -2*a - 4, p*q - 8 = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.841 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-191)\/(-3820)*2*3*(-5)\/(-12)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43260 by -2.\nAnswer: -21630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18874*u + 43109*u - 24079*u.\nAnswer: 156*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 102816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21610959?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 119*a + 293. Let t(b) = 232*b + 587. Let u(q) = 5*r(q) - 3*t(q). What is the first derivative of u(n) wrt n?\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 30. Factor -2*p**3 + j*p**2 - p**4 - p**3 - 7*p**2 + 5*p**3.\nAnswer: -p**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0805 - 807.0805. Let d = x + 804. Let j = -55\/6 - -367\/42. Which is the nearest to -0.3? (a) 4 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 21. What is the remainder when 194 is divided by x(-9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1577 - 5887 = -2*f. Suppose 3*j = -g + 1630, -j - 3*j = 5*g - f. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -57. Suppose -3*n - o = -6*p + 2*p, 2*p - 5*n = 15. Calculate the highest common factor of p and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/17940*-130)\/(1\/(-30))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37a359 (base 11) in base 13?\nAnswer: 17ca7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1139\/7 + 4\/(-4). Let t = o - 162. Let p = -7 + 7.1. What is the nearest to p in 3\/5, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13040, 38, 8, -2, 5 in descending order.\nAnswer: 38, 8, 5, -2, -13040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 1 + 1)*(11*l + 59 - 59)*(-4*l**2 + 0*l**2 + 2*l**2) + (0*l**3 - 3*l**3 + 4*l**3)*(-3*l + 3*l - 2*l).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + 2. Let i be 2\/(-4) - 35\/14. Let z be c(i). Suppose 0 = 8*o - 13*o + 55. Calculate the greatest common divisor of o and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54128)\/(-33830)*55\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 46674 (base 8) to base 3\nAnswer: 1000022001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:02 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794 + 40\/(25\/(-5)).\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1635829646 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67.5 + -0.5. Let i = h + 67.999994. Round i to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106552+-96899\nAnswer: 9653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 8673*v - 2399904. Calculate x(261).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 391782139 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -13 - (-2 + 2 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 5*l + 9. Let y(a) = -a**2 - a - 2. Let j(k) = 2*v(k) + 9*y(k). Let s = 272780 + -272779. Let n(f) = f + 4. Calculate s*n(r) - j(r).\nAnswer: r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -56 - -124 - (-3 - -26).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*y + 504, 0 = -8*i + 5*i - 2*y + 771. What are the prime factors of i?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -103, 3, 2.\nAnswer: -103, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*z + 17*z - 12725 = 0 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -1 (c) 1797 (d) 196 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 1. Let s = -15 + 9. Let z(o) = -o**2 - 6*o + 6. What is the remainder when z(s) is divided by w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4291 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 262 in -1\/4, 4\/9, 0.4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2791 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -528*j*r*v - 110*j*r - 2*j*v - 33*j + 2*r*v + 3*v wrt v?\nAnswer: -528*j*r - 2*j + 2*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 16 = 4*l, -3*q - 2*q = l - 4. Let x be (l\/(-20))\/(8\/5). Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/9)\/12*12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232295 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 1. Let i(j) = -15*j**2 + 88*j + 10. Let f be i(6). Let v(y) = -4*y + 3. Give f*v(l) + 7*h(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-36) + 4\/(-18). Let j = -13.45 + -3.65. Let o = 17 + j. What is the second smallest value in u, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 56 = 4*y, -9*y + c - 141 - 87 = -29*y + 41*y + 99*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 375931 to the power of 1\/2, to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95798 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 9*t + 5. What is o(6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -529 - -673. Calculate the lowest common multiple of 198 and h.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7969298 at most -7969297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*i + 3, -4*n - 5*i + 948 = 936 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 87634784255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 14. Suppose 9*a - m*a - 96 = 0. What is the lowest common multiple of a and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d - 1. Let k = -21 + 62. Suppose 4*j = -h + k, -2*h - 2*j + 0*j = -112. Calculate the remainder when h is divided by z(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1316\/(-987))\/(2\/(-12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*(1*(sqrt(5) + 1) + sqrt(5) + (sqrt(20)\/sqrt(4) - sqrt(5) - sqrt(5)) + 2 + 5)**2.\nAnswer: -207 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 7*y - 4. Let v be j(-6). Let l = -6 + 3. What is the nearest to v in -5, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - j**4)*(-4*j - j + 3*j + (j + 2*j - j)*(-4 + 1 + 2) + j + j - 3*j - 3*j + 2*j + 2*j + 0*j - j + 0*j - 4*j + 8 - 8 + 5 - 5 - 4*j).\nAnswer: 13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 10) + (-1 - -15) - -11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/6240 and 67\/71000?\nAnswer: 11076000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 212110202300 (base 4) to base 6\nAnswer: 555151252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = w + 20. Let k(j) be the second derivative of j**5\/20 - j**4\/3 + j**3\/3 - 2*j**2 - 1789*j. Calculate k(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287197961?\nAnswer: 287197961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -6. Suppose -y = n + 3. Let j(k) = -12*k - 1. Let v be j(y). What is v rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 5, -1\/6, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 1\/8, -7, -262.7102 in ascending order.\nAnswer: -262.7102, -7, -2\/15, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545672239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 349889.4 days?\nAnswer: 30230444160000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -26. Let z be ((9 + -5)\/4)\/(d\/78). Let c be 4 + 7\/(-2) - z\/6. Solve 8 - c = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27\/5, -4, -2\/11, -21, 1 in ascending order.\nAnswer: -21, -4, -2\/11, 1, 27\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*t - 115*t = -482*t - 2080 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -91, 3\/14, 17, -4, -26?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3. Let c be (0 - -1)*(0 + 2 + -3). Let l(w) = -5*w**3 + 2*w**2 + w. Suppose -2*f + 3 + 3 = 0. What is c*l(h) + f*t(h)?\nAnswer: 2*h**3 - 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 11*d**3 + 10*d**2 - 132*d - 17. Let i(y) = -10*y**3 - 12*y**2 + 133*y + 20. Determine 5*i(x) + 6*r(x).\nAnswer: 16*x**3 - 127*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.37276 milliseconds to hours.\nAnswer: 0.0000256591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62801362*k**2 + 170603762*k?\nAnswer: -125602724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16589*o**3 + o**2*u - 903*o*u - u wrt o?\nAnswer: -99534*o + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.75 (b) 0.5 (c) -0.3 (d) 0 (e) -1687\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*h + 55*h - 137*h to the form n*h + p and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4104*z - 26677 = -440391 - 66454 for z.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3182, 6144, 8886, 11408, 13710, 15792?\n\"Answer: -110*p**2 + 3292*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 50\/14 + 20\/(-35). Solve -2 = -f*o + 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 357657755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -11 (b) -1 (c) 3 (d) -1\/4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y - 228 = -4*w - 15*y, -w = -7*y - 27. Solve 67*z = w*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3504766730 to the power of 1\/2, to the nearest integer?\nAnswer: 59201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 133484*y**2 - 801016*y - 1068064.\nAnswer: 4*(y - 33377)*(y + 2)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7991372 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31697 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*h + h. Suppose -q + 227 = -h*r, r = 5*r + 5*q + 199. Let c = -137\/3 - r. Put 2\/11, -0.3, c in increasing order.\nAnswer: -0.3, 2\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21.1, -21, -3, 4\/3, 3.\nAnswer: -21.1, -21, -3, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*r + 47, -3*z - 5*r = 49 + 4. Let t(o) = -o - 24. Let g be t(z). Let u = g - -72. List the prime factors of u.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3)*(1 - 45\/(-6)). Let k(g) = -22*g + 57*g - z*g - 16*g. Let x(v) = -40*v. Calculate x(k(q)).\nAnswer: -80*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635636327.\nAnswer: 83, 7658269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*x - 171*x = -25. What is the third derivative of 64*u**2 - 62*u**2 + x*u**4 - 34*u**4 + 12*u - 5*u**6 wrt u?\nAnswer: -600*u**3 - 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001111 - 1111200111?\nAnswer: -1120201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 808.3765mm to centimeters.\nAnswer: 80.83765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10225.2 rounded to the nearest 100?\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -2 - -1) + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -319 + 302. Let j be 7 + k + 15\/3. Let d be -1*(2\/2)\/1. Which is the smallest value? (a) -6 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -40*p**2 + 3*p + 6. Let k(n) = n**2 - n - 2. Let m(q) = 3*k(q) + l(q). Let c(w) = -925480 + 925480 - 3*w**2. Calculate m(c(i)).\nAnswer: -333*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.022 + 119.022. Let x = c - 120.03. Round x to two decimal places.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-104)\/24 - (-40)\/(-24). Put 1, n, -2 in ascending order.\nAnswer: n, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 4*w + 24, 3*w + 11 = 3*h + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32048037?\nAnswer: 3, 7, 307, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42003929?\nAnswer: 11, 59, 61, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**2 + 125*k - 5. Let s(c) = -2*c**2 - 62*c + 2. Give 2*h(q) + 5*s(q).\nAnswer: 4*q**2 - 60*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -632111 divided by -1107\nAnswer: 632111\/1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -993, -1001, -1009, -1017, -1025?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61\/732*1*8*-6*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*p = 30, 0 = -2*u + 3*p + 2*p - 19. Let m(b) = b + 1. Let t be m(u). Solve t*j + 4 = -c - 3*c, 4*c + 16 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -0.18, -0.1, 0.4, 24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 o when three letters picked without replacement from {o: 4, n: 7, h: 3, r: 4}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 350*x**4 + 2*x**3 + 21*x**2 - 8*x - 3579239 wrt x.\nAnswer: 1400*x**3 + 6*x**2 + 42*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 6 - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -21*a - 1113. Determine d(-54).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1723 = -1268. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15245309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*d = -27786, -10347 = -s + d + 17442. Is s\/408 - (72\/34 - 2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-72)*(-45)\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*s - 4 + 25 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.8 - 13.909. Let n = 0.069 + d. Which is the second biggest value? (a) -2\/3 (b) 3\/8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 o when three letters picked without replacement from {f: 1, n: 3, u: 1, o: 3, z: 2, x: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 12*y + 4. Let c be a(-14). Let o be (52\/14 - 2)\/(1\/7). Calculate the greatest common divisor of c and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.023 + 8.423. Let h = -8 + m. Which is the second biggest value? (a) h (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 18*w**2 + 35*w + 96. Calculate l(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -656? (a) 3 (b) 2\/17 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 6*z. Let h be x(-4). Suppose -h*p = -4*p - 28. Calculate the remainder when p is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1892292, -1892293, -1892294, -1892295?\n\"Answer: -b - 1892291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.026 - 0.216. Put -1, -18, -4, l in decreasing order.\nAnswer: l, -1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (99*g - 184*g + 106*g)*(-8*g**3 + 3*g**3 + 12*g**3) - g**2 - 11 - 58*g**4 + 60*g**4 - 12 in the form o*g**4 + x*g**2 + j + s*g + h*g**3 and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*r - 399*r + 18529 + 13601 = 163*r for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*k**5 - 422028*k**4\/7 - 520332*k**3\/7 + 567884*k**2\/7 - 20368*k + 8912\/7 = 0. What is k?\nAnswer: -557, -2, 2\/21, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -155 by -802001.\nAnswer: 5\/25871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irigririgxggxxenrxx. Give prob of picking 1 n, 1 x, and 2 r.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/((-1)\/(5\/(-15)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**7\/1260 + m**6\/72 + 13*m**5\/360 - m**4\/6 - 3173*m**2 - 1. Factor g(t).\nAnswer: t*(t - 1)*(t + 3)*(t + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20652 + 20656. Which is the nearest to -1\/32? (a) 0.2 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482*i**3 + 1450*i**3 - 487*i**3 - 488*i**3.\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 14430*q**3 + 43260*q**2 + 43250*q + 14415.\nAnswer: 5*(q + 1)**3*(q + 2883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2\/2 - 41930*y + 175812490 = 0 for y.\nAnswer: 8386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2971*f**3*i**2 - 972*f**3 + 2*f**2*i wrt i?\nAnswer: 5942*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 1. Let q(w) = -7*w - 18. Let p(a) = -6*k(a) - q(a). What is the remainder when 19 is divided by p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s + 26*s - 65*s)*(267*s**2 - 2 + 4 - 412*s**2 + 254*s**2) to the form x*s + h*s**3 + v + c*s**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kckcgcbbbjkjccj. Give prob of sequence jb.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 3*z - 6. Calculate j(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22704 and 37158?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -81444714 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-270*l**2 - 72*l**2 - 141*l**2)*(-l**2 - l**2 - l**2).\nAnswer: 1449*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -857 + 5188. List the prime factors of t.\nAnswer: 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 5:39 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/5 of a day?\nAnswer: 14688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 - 414*r - 14700. Let u(g) = g**2 - 416*g - 14700. Let m(j) = 2*h(j) - 3*u(j). Suppose m(x) = 0. What is x?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71376*p**3 - 4*p**2 - 199*p + 25 wrt p?\nAnswer: 428256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**2 + 360*d + 54*d**2 - 8*d**3 - 360*d - 42*d**2.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*q - 36 = -106*q. Solve -9 = 4*x - q*s, -6*x + 2*x + s = 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 - -33) + 0 + 8 + -9\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1) + (-9)\/(-3). Suppose 2*v + 16 = 3*m, -5*v - 25 = -3*m + 6. Suppose -m*b - 32 = -5*r + b, 0 = -r + 2*b + 12. Solve r = -x*c - 0*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.24 + -5.28. Let x = j + 0.03999729. What is x rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, d: 1, x: 1, o: 1, w: 1}. What is prob of sequence oldw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**2 + 3*j**3 - 4*j**3 - j**3 as m*j**3 + y + r*j + z*j**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.016 (b) 1\/104 (c) 58 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -43920*i**3 - 13*i**2 + 35*i + 26. Let c(w) = -10980*w**3 - 3*w**2 + 8*w + 6. What is -13*c(k) + 3*y(k)?\nAnswer: 10980*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19616*g*u - 29409*g + 2*u wrt u?\nAnswer: 19616*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1114 and 972 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2. Let f(b) be the third derivative of b**7\/336 - 2*b**5\/15 - 11*b**2. Let a(h) be the third derivative of f(h). Give a(o(v)).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*p**3 + 236191*p - 101953.\nAnswer: 6*p**2 + 236191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.4, 14, -0.05, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 - 3 + 3)*(-4*t - 3*t + 6*t) + (-75*t + 30*t - 168*t)*(-4*t**2 + 3*t**2 + 3*t**2).\nAnswer: -425*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10221 - -12?\nAnswer: -10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -5, 572, 6, 5, 0 in decreasing order.\nAnswer: 572, 6, 5, 4, 0, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -968 divided by 4.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*p**2 + 311*p**2 - 937*p**2 + 315*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1381992, -2763946, -4145816, -5527560, -6909136, -8290502, -9671616, -11052436?\n\"Answer: 7*x**3 - 1382003*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -889 + -201. Find the common denominator of ((-4)\/(-18))\/(40\/t) and -53\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z = -143*z - 336 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-32)\/(-9))\/((-8)\/(-36))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/607 or 0?\nAnswer: -13\/607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202413802?\nAnswer: 2, 19, 41, 129919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 805 and 344517?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)*j*j**(2\/3))\/(j**(1\/7)*j*j**3*j))\/((j*j**(1\/4))\/((j\/(j\/j**2))\/j))**(5\/14) assuming j is positive.\nAnswer: j**(-1775\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 82 = -2*f, f - 32 - 32 = -3*h. Suppose h*z = 27*z - 8. Solve 7*q = 2*q - z*j - 5, 0 = -3*q + 4*j + 23 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 254*z + 12. Let m be s(1). Calculate the greatest common divisor of 14 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 4000*s**3 - 363921*s**2.\nAnswer: s**2*(s - 89)*(s + 4089)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*f + 23 = 0, 4*u + 2*f = -2*f + 20. Suppose -j + 6 = -6. What is the units digit of (-60)\/(-2)*u\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29701819 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -396, -397, -398, -399, -400?\n\"Answer: -v - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = t + t. Let a = 11 + t. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1703 - -2094. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 45*s + 2. Let n be m(2). Suppose 4*k = -0*k - n. Let z = -13 - k. Calculate the smallest common multiple of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 545 and 20819?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -323*q**5 - 339*q**5 - 219*q**5 + (-5*q + 3*q + 0*q)*(-2*q**4 + q**4 + 0*q**4).\nAnswer: -879*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.04 (c) -625 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 144, 147, 162, 195, 252?\n\"Answer: g**3 - 4*g + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 81\/5 - (4 - 133\/35).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 6*y + 10. Determine v(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 89. What is the closest to -0.1 in 0.3, n, 1.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 12*k + 9. Let h be w(16). Let f = 132 + h. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5199 by 3.\nAnswer: -1733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -722 - -722.02. Which is the closest to 11? (a) -5 (b) -2\/5 (c) -0.1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 + 368. What are the prime factors of u?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 n when four letters picked without replacement from {n: 2, f: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 203*y**2 - 1008*y - 7. Let b be d(5). Solve 0 = -5*l - 27*i + 31*i + 34, -l - b = 5*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/12 and -89\/501432096.\nAnswer: 501432096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-49))\/((-98)\/686)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28787544 to the power of 1\/2, to the nearest integer?\nAnswer: 5365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - 31*j**2 - 14*j + 54. Let k be i(-15). Let v = -1 - 6. Let t = k + v. Calculate the greatest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24938 or 24505?\nAnswer: 24505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2750 times 2261\nAnswer: -6217750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 116659 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/215257 and -113\/10696?\nAnswer: 1722056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -148, -127?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 156?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 764*m**2 - 952*m wrt m.\nAnswer: 1528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:19 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1527 is divided by 822?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -aa (base 11) in base 4?\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b + 55*b = -126 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*n - 5*b, 5*n + 139*b = 135*b + 29. Solve 7 = -h + n*r, -r - 3 = -5*h + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 76 - 626 = 2*p, 4*u + 4*p = 1404. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 2:20 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492226 + 492634 = 17*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -837, -993, -1247, -1593, -2025?\nAnswer: -2537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48b7 + 25a?\nAnswer: 4b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7131 divide 636730496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -8. Let c = 11 + a. Does 42 divide (52 - 3)*(c\/14 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 59*t + 63*t + 64*t + 63*t + 46*t - 298*t. Let c(o) = 3*o + 6. Let y(b) = b. Let z(r) = c(r) - 2*y(r). Give k(z(i)).\nAnswer: -3*i - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 248719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/10 - 261*y**2\/10 + 514*y\/5.\nAnswer: y*(y - 257)*(y - 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494 and 15028.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34692.84 millennia in months?\nAnswer: 416314080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/((q*q**29)\/q)))\/q)**(12\/5)*((q*q**(-6\/7))\/q)\/q**(-20) assuming q is positive.\nAnswer: q**(3022\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoo when three letters picked without replacement from {o: 2, z: 1, r: 1, l: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 + -3. Let n = 2203 + -2203.1. What is the closest to q in 2\/13, 0.2, n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*351168\/(-1888)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 1. Let c be 0 + 14*5\/10. Suppose -2*y - 40 = -c*y. What is q(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 991a6?\nAnswer: -991a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2 - 155116*o = 0.\nAnswer: 0, 77558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66\/4649 + 185577\/1664342. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 50623, 50626, 50629, 50632?\n\"Answer: 3*u + 50620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10 + s**2 + s + 3 + s. Let u be o(7). Suppose 2*x + 2*x = u. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2351.373 weeks in microseconds?\nAnswer: 1422110390400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10473 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.501 + 0.48. Let a = p - -0.021. Sort -0.7, 0.3, a.\nAnswer: -0.7, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 931?\nAnswer: -931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 724132864 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 10 = -p - 3*p, -4*h - p + 5 = 0. Let d be 4\/(-2*h)*0. Let s(x) = -x + 25. What are the prime factors of s(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41250993.\nAnswer: 3, 7, 17, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.173.\nAnswer: 0.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 305 + 357. Suppose -5*k = -u - 63. Is k a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 10*j + 2, 5*z + 1276 = -4*j. Is z <= -250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -69. Suppose -2*f + 4*g = 12, g - 3*g = -5*f + 2. Let y(z) = -13*z + 15*z + 2 + 0 - z**f. What is y(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-5\/7))\/(k\/(k\/(k*k**8))*k))**(-1\/11) assuming k is positive.\nAnswer: k**(58\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2142, 36, -2 in decreasing order.\nAnswer: 2142, 36, 8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 8108 = p + 4*m, -5*p - 3*m = 10141. Let i = -1370 - p. What is i rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-777576)\/(-13425) + 2\/25?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*c**2 - 14*c**2 + 68*c**2 - 24 + 13*c - 29*c**2 as q*c**2 + a*c + d and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50805 and 1129.\nAnswer: 50805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Find the second derivative of -g**3 - 2*g + 3*g - y*g + 0*g**3 wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*u, -5*j - 50 + 6 = 3*u. Let w(o) = -o**2 - 3*o + 9. Let m(b) = -b**2 - 3*b + 9. Let g(p) = 2*m(p) - 3*w(p). What is the units digit of g(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49242 divided by -87\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14663 - 15150 + 27092)*(-l + 6*l - 3*l - 2*l**2).\nAnswer: 5442*l**2 - 5442*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37959?\nAnswer: 3, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b**4 - 7636*b**3 - 38072*b**2 - 53260*b - 22818 = 0. Calculate b.\nAnswer: -3803\/3, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5*c - 194, -280 = -4*j - 2*c + 6*c. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-74)*(-6)\/12*-1*1?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = x + 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681476271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 294 and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = h + 2*g, -5*h - 4*g - 1 = 0. Suppose 8*y - 4*y - 2*a = 28, 0 = -4*y - h*a + 8. Suppose -y*n + 8*n - 93 = 0. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20003 (base 11) to base 8.\nAnswer: -71145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3471, -6977, -10483?\n\"Answer: -3506*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1818222 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -534.24403 to 1 dp.\nAnswer: -534.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3554069 times -0.068\nAnswer: 241676.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 s when three letters picked without replacement from {s: 11, x: 5}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14904383723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 6*r + 21. Let s be j(-11). Suppose s*i - 1800 = 70*i. Does 50 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + 3. Suppose -d*f = -13*f + 27. Solve 5*a + 11 + f = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*z - 3*z - 2*j, 5*j - 2 = -z. Suppose -z*x + 0*x = -348. What is x rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 778051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 x when two letters picked without replacement from oxxsfxxaffxfoxosxo.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1398, 3136, 4876, 6618, 8362?\n\"Answer: d**2 + 1735*d - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*z - 3*r, 3*z - 5*z - r - 9 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p*((p\/(p\/(p\/p**(-1\/3))))\/p)\/p)\/p*p*p*p*p\/p**(-1\/14)*p*p)\/(p*p*p\/p**(2\/9)*p*p\/(p\/(p*p**8))) assuming p is positive.\nAnswer: p**(-677\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v - 15. Let o be r(-5). Suppose -18 = -o*g - 3. What is the remainder when 8\/3*3*1 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*m - 18. Let v = 6 + m. Solve -15 = 3*t - v*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83288956 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*a**2*m + 451*a**2 + 14*a*m**2 - 2*a with respect to m.\nAnswer: 9*a**2 + 28*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooototoootooooo. Give prob of picking 3 o.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -32*b. Let u(d) be the first derivative of 0*d**3 - 1 + 18*d + 1\/6*d**4 + 0*d**2. Let n(q) be the first derivative of u(q). What is n(j(s))?\nAnswer: 2048*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (4 - 2) - (4 + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 4:09 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 bigger than -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l - 107. Let t(y) = -4*y - 27. Let p(v) = -4*c(v) + 18*t(v). Find the first derivative of p(x) wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-8735\nAnswer: 2620.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3735 at least as big as -3721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + (-84)\/(-18))\/(-35). Let q(f) be the third derivative of -1\/36*f**4 + 1\/36*f**6 - 4*f**2 + b*f**7 + 1\/90*f**5 + 0*f**3 + 0*f + 0. Factor q(p).\nAnswer: 2*p*(p + 1)**2*(3*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -25. Suppose 4234 + 1911 + 14590 = 65*m. What is the remainder when m is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9249985136405*s - s**2 + 9249985136405*s.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12839257 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 459*q**4 - 1605*q + 2*q**3 + 2*q**2 + 1605*q in the form i*q**2 + n*q + r*q**3 + b*q**4 + p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5731.7695 minus -23008.54?\nAnswer: 17276.7705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.489 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2 - 101\/50). Suppose 0 = 6*p - p + m. Which is smaller: -9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3380 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-208)\/(-40))\/(2\/5). Suppose -j = n + 4*k, n + 0 = -3*k - 9. What is the second derivative of 0*c - c**n + 0*c - 3*c wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 18*p**2 - 15*p - 31. Let x be t(17). Sort -2, 2, 40, x.\nAnswer: -2, 2, x, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100010 - 200020020001?\nAnswer: -200020120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-5.64.\nAnswer: -28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 838*d**2 + 5082*d + 7650.\nAnswer: -2*(d - 425)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 - 4 + 465*d + 2*d**3 + 3*d**4 - 463*d to the form u*d**4 + a*d**2 + f + m*d**3 + y*d and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2408, 8519, 18330, 31841, 49052?\n\"Answer: 1850*n**2 + 561*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -7. Let a(t) = g*t - 7 - 7 + 6. Determine a(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*s**4\/8 - 21*s**3\/4 + 9*s**2\/8.\nAnswer: -3*s**2*(s + 3)*(5*s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1 - (-11952)\/(-1160). Let h = 3\/29 + j. Let d = -11\/206 + 2139\/515. What is the common denominator of d and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 3. Let y = 1 - 0. What is the third smallest value in -5, y, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 13. Let u be 12\/(c\/(-148) + 0). Suppose 25*z = 28*z - u. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4138 (b) 5 (c) 1\/31 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 2*x**2 - x**2 + 20 + 17*x. Is r(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3\/5 - 82*w**2\/5 + 8*w\/5 + 328\/5 = 0.\nAnswer: -41, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -353*w**3 - w**2 - w. Is m(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -51\/5. Let r be (36\/(-10))\/(9\/30). Let m be (4 - (-8)\/r)\/2. What is the nearest to 1\/3 in -0.2, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1660*u**2 - 64742*u + 59. Give c(39).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5526?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251 + 255. Does 34\/9 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.69476 and -30?\nAnswer: -80.8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + 0 + sqrt(2448) + 5 + -5*sqrt(102)\/(sqrt(48)\/(sqrt(16)\/sqrt(2)))))**2 + -1.\nAnswer: 84*sqrt(17) + 868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 14 - 68. Suppose -i = -2*c + 3*q, 3*c + 2*c + 5*q - 45 = 0. Let b(a) = a - 5. What is the units digit of b(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 + 16 = 0. Let v = 6 + y. Suppose -k + 3*g - 3 = -4*k, g = k - v. Solve -k*a + a - 3*i = 13, -a = -2*i + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135834541.\nAnswer: 137, 991493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108204 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -11*v**3 + v**2 + v - 1. Let o(k) = k + 5. Let m be o(-7). Let r be g(m). Let q = r - 87. Solve q - 12 = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + 3\/((-12)\/8). Suppose -l + k*l = 8. Differentiate 2 - 2*o**2 + 0 + 3*o**4 + l*o**2 wrt o.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**6\/90 + 23*q**3\/2 - 17*q**2 + 3*q. Let v(a) be the first derivative of b(a). Let h(w) = w**2 + 17*w. What is h(v(k))?\nAnswer: 16*k**4 + 68*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 13 + (16 + 8 - 31)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**3 - 9*m**2 - m + 49. Let n(o) = -29*o**3 + 49*o**2 + 5*o - 243. Let p(x) = 24*k(x) + 5*n(x). Calculate p(29).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(-22 - 13*u**4 + 22) + (u**4 - 7*u**4 - u**4)*(-3 - 1 + 2) + 2*u**4 + 0*u**4 + u**4 as x*u + s*u**3 + o*u**4 + p + z*u**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -49 + 127. Suppose -3*m + 7*m - 899 = 5*g, m - 221 = 2*g. What is the remainder when m is divided by x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/5 + 19969*j**2\/5 - 168069*j + 2341287\/5 = 0 for j.\nAnswer: -20011, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**4\/24 + 5*h**3\/12 - h**2 + 19*h. Find i such that r(i) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 41*j**3 + j**2 + j - 1. Let f be y(1). Suppose -66 = -4*i + 2*h, -3*i = 2*h - f + 3. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136.15514121 rounded to 2 dps?\nAnswer: -136.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -17. Suppose 3*n - 22 - v = -2*r, 0 = -2*n + 5*r - 10. Suppose -n*m - 56 = -7*m. What is the greatest common divisor of 308 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**3 + 3*k**2 + 7*k + 17. Let d be c(-3). Suppose 4*l - d = -74. Calculate the remainder when 41 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - -3*(sqrt(68) + sqrt(68)*-1))\/(2*sqrt(16)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/15 - 94*l**3\/15 + 1934*l**2\/15 - 5114*l\/15 + 1092\/5 = 0 for l.\nAnswer: -63, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w - 43. Let g(o) = -7*o**2 - 6. Let l(q) = 5*q**2 + 5. Let f(a) = 5*g(a) + 6*l(a). What is i(f(j))?\nAnswer: 10*j**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.476977 + 0.49985. What is w rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1045330?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20393460 and 20064.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, 67672, 5, 4 in decreasing order.\nAnswer: 67672, 11, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13620 and 16344?\nAnswer: 81720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12b1c0 - -4?\nAnswer: 12b1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24140 and 91868.\nAnswer: 32613140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 751715977?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100011202122 (base 3) to base 6.\nAnswer: -121233412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1365\/81)\/7 + (-12)\/3 and 58\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-120)*1)\/(9\/((-324)\/(-8)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l - 0. Let y = l + -1. Let g(j) = 21*j**2 - 5*j + 4. Let u be g(1). Solve 0 = -4*k + u - y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 585.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 219645?\nAnswer: 3514320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**3 - 4*x**2 - 30*x - 3. Let v(d) = -d**3 + d**2 + 1. Let u(f) = -2*f**3 - 14*f**2 + 131*f + 133. Let b be u(-12). Calculate b*o(p) + 4*v(p).\nAnswer: p**3 - 30*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32893.\nAnswer: 7, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 891.1757 decades?\nAnswer: 8.911757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/6)\/(-8*63\/288)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + sqrt(567) + 2 + 0)**2.\nAnswer: 108*sqrt(7) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, m: 2}. What is prob of picking 1 m and 3 o?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 17280 = -87*x - 21*x. What is the highest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 7 = -144*b + 139*b, 0 = 2*b - 3*n - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - -5*sqrt(104)*1 - sqrt(104) - ((sqrt(104) - (sqrt(104)*2 + sqrt(104))*5) + sqrt(104)))\/(sqrt(80)\/(sqrt(40)*2 - sqrt(10))).\nAnswer: 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 6*v = 85400. Suppose -59*u + 2080 = -v. What is the lowest common multiple of 80 and u?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + b. Let m(t) be the second derivative of -t**5\/20 - t**4\/4 + 5*t**3\/6 + t**2 - 88*t. Let k(y) = -4*d(y) + m(y). What is k(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3939393 to the nearest 10000.\nAnswer: 3940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2104 (base 5) to base 4\nAnswer: 10113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2346 and 17467908.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 15. Let w(g) = -4*g**2 - 30. Calculate -7*h(a) + 4*w(a).\nAnswer: -2*a**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 9:22 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35992?\nAnswer: 2, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5838044, -11676098, -17514152, -23352206?\n\"Answer: -5838054*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -9, w + 3 = -2*w + 5*v. Suppose 0 = 3*d - 3*o - 117, 5*d - 3*d + w*o = 78. Calculate the remainder when d is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134358 is divided by 312?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/549 - 1637\/2745. What is the closest to 0 in -16, l, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22879+-5805.9014\nAnswer: -28684.9014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 209*n**3 + 585*n**2 + 2. Let m(b) = 623*b**3 + 1754*b**2 + 7. Let y(s) = 2*m(s) - 7*p(s). What is the third derivative of y(q) wrt q?\nAnswer: -1302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*y + 5*y - 2*y)*(y**2 + y**2 - 5*y**2) + (2*y**3 + 4*y**3 - 3*y**3)*(6 + 0 - 2))*(0 + y + 0) to h*y**2 + w + q*y + o*y**3 + z*y**4 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 32\/59580*13864 - 0. Let x = q - 3\/1655. What is the common denominator of (-4)\/((-24)\/(-6)) + (-3)\/(-2) and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 41*o**2 - 2*o + 79. Let h be g(41). Sort 0, h, -84 in ascending order.\nAnswer: -84, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 134 + -134. Is p at least as big as -2\/707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-18)*4578\/(-3320). Let r = m - 2\/249. Is -1 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*g - 1077 - 3476 = 0, -7595 = -5*n + 5*g. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(4*k**3 + 18*k**3 - 4*k**3) + 111*k**3 - 161*k**3 - 188*k**3 in the form x*k + o*k**2 + r + n*k**3 and give n.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16 + 0 + -3 + 2. Suppose 0 = -2*m - 6*m + 4*m. Solve w = 3*g + 3*z, 3*g + 2*z - 16 + 3 = m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -542*q + 264*q - 851 = -301*q for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 16\/(-4) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -66. Let h = 0 - o. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -377.7 and -897923817.\nAnswer: -897924194.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 - 203?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -23932 bigger than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227*j**4 + 3*j**3 + 45*j**2 - 4*j.\nAnswer: -5448*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1258 and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*f - 55*f - 21417 = 121737. 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 derivative of 21*b**2*i + 44290*b**2 + 6550*b*i**3 + 2*b - 1 wrt i?\nAnswer: 21*b**2 + 19650*b*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:52 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2384 and 37\/2980.\nAnswer: 11920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9540 divided by 36\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 340 - 5?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -53095*0.1\nAnswer: -5309.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 27, -7.\nAnswer: -7, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 168 = -2*f, 122 = 3*f + 4*u - 130. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3043746 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 354*s**2 + 143*s - 74132. Calculate k(-353).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -67*g**5\/20 + 7*g**3\/3 + 694*g**2 - 28*g + 3. What is the first derivative of h(n) wrt n?\nAnswer: -201*n**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.393 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*w**5 + 520*w**4 - 6860*w**3 - 15840*w**2 = 0. What is w?\nAnswer: -2, 0, 18, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2 + 4. List the prime factors of ((-86)\/3)\/(i\/3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61838 is divided by 1828?\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 424.9 - 425. Which is the nearest to i? (a) 0 (b) 2\/7 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2113435\/38065 - (-1 + 56).\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -149141.312 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (281 - -4)*(-1)\/(-3). Suppose -34 = -5*l + v - x, 5*l + 3*v = -77. Let o = l + 27. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8187 - -11987. Calculate the highest common factor of 12 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -47 (b) -1.01 (c) -0.4 (d) 3 (e) -4 (f) -2\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*v + 58*v - 126*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0269 + -5871?\nAnswer: -5870.9731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 1460 = 17*k. Let u be k*80*(-1 + -24). Round u to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -16. Let z = -5.4 - f. Let h be 2*(-10)\/4*1. Which is the second smallest value? (a) h (b) 2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/22 - (-154605)\/(-21780) and -9\/442.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10348167.\nAnswer: 3, 3449389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 437a9166a + -1?\nAnswer: 437a91669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242553638?\nAnswer: 2, 121276819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 226, 334, 462, 616, 802?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*h + 128*h - 281*h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4006.38 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r - 3. Let c be (3\/5)\/(1\/(-5)). What is the units digit of z(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525399746 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 789677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(sqrt(8) - sqrt(16)\/sqrt(2)*-1))\/(-4*sqrt(18) - (sqrt(2) - sqrt(16)\/(1*sqrt(8)))))**2.\nAnswer: 5\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-1 + -3 + sqrt(17) + (sqrt(17) + -1)**2 + -2.\nAnswer: -2*sqrt(17) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 0)*(1 - 1 + 2) + 3 - 4 - 2)*(-5 + 2 + 1)*(-277*w - 122*w**3 + 277*w).\nAnswer: -1220*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 3.7, -0.3, 1\/5?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - (-24)\/(-21))*7. Let n(f) = f**2 + 9 + f**3 + 3*f - 2*f**3 - q. What is n(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, o: 1, y: 1}. Give prob of picking 2 n and 1 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + o + 26 = 0, 0 = -3*t + 4*o - 0 + 2. Suppose 0 = -3*r - q + t, 0 = 3*r - 4*r - q. Factor -x**3 + x**2 + 2*x**r + 0*x**3.\nAnswer: x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 132, -215*c + 211*c + 9*o = 416 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 150, 179, 222, 285, 374, 495, 654, 857?\n\"Answer: z**3 + z**2 + 19*z + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/87)\/(b*b*b**(-1)*b*b)*(b\/((b*b**(7\/6))\/b))**(39\/4))**(-46) assuming b is positive.\nAnswer: b**(73669\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + sqrt(88) + sqrt(88) + (sqrt(88) - (sqrt(88) + sqrt(88)*1)*2))\/(sqrt(800)*2 - sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*f - 51*f - 17*f**3 + 107*f + 93*f**3.\nAnswer: 76*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 33*p**2 + 28*p - 108. What is the remainder when 47 is divided by k(-32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -17*s**4\/24 - 4*s**3 + 53*s**2. Let t be r(-2). Solve 4*h + t - 10 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b - 4. Let t(n) = -3*n - 30. Let d be t(-7). What is p(d)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3832611*g**3 + 45*g**2 - 80042 wrt g?\nAnswer: -22995666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 23324432\nAnswer: 3\/2915554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 531557632 and 60032?\nAnswer: 8576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 24*d**3 + 4*d**2 + 3*d + 7. Let q be v(4). Let y = -2266 + q. Let z = 7741\/12 + y. Calculate the common denominator of z and -99\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m**5)\/(m**1*m)**(-4\/29)*m\/(m*m**5)*(m**(-6)*m)\/m*((((m*m\/(m*m**(-4\/3))*m*m)\/m)\/m)\/m)\/(m\/(m\/(m\/(m*(m*m**(-1\/4))\/m)))) assuming m is positive.\nAnswer: m**(-3355\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359433 = -3*c + 3*n, -c - 5*n - 239625 = -3*c. Suppose 13650 - c = -4*k - 4*m, 5*k - 4*m - 132745 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/135 - 11*b**5\/135 - 7*b**4\/18 + 20*b**3\/3 + b**2 - 211. Solve o(g) = 0 for g.\nAnswer: -3, 5\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0 + 11*k - 2 + 0. Calculate the remainder when a(2) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -4, -5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 753853.7 decades?\nAnswer: 90462444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - v + 2, -4*g = 5*v - 10 - 0. Suppose -q + 4*q - 3 = g. Let d be ((-8)\/(-12))\/(-1*q). Is d greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k**2 - 8*k + 4. Let c(a) = -4*a**2 - 8*a + 3. Let h(d) = 4*c(d) - 3*r(d). Factor h(m).\nAnswer: -4*m*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5115415 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1499?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (73803\/24)\/(2\/7). Let q = 10767 - a. Calculate the common denominator of 93\/16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.14 - -0.06. Let f = 19.4 - 19. What is the second smallest value in 1\/4, m, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -43*m**5\/30 - m**4\/12 + 34*m**3\/3 + 111*m**2. What is the second derivative of o(f) wrt f?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -441.54.\nAnswer: 2207.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {p: 1, i: 2, w: 5, d: 1, z: 2, v: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 185636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 3:23 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k + 45. Let d(a) = a - 4. Suppose -219 + 51 = 42*g. Let n(i) = 3*i - 11. Let w(l) = g*n(l) + 11*d(l). Calculate p(w(c)).\nAnswer: 2*c + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1765*f + 2003*f - 3470*f - 2*f - 2 + 2 + 2*f + f - 4*f + (f - f - 2*f)*(3 - 1 - 1).\nAnswer: 293*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 29064 divided by 10\nAnswer: 14532\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1041, 1019, 6619, 17529, 35519?\n\"Answer: 295*w**3 - 5*w - 1331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -744, -0.92, 5, 181?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 995*z**2 + 55544*z - 57. Calculate b(-53).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + c + 8, -i - 3*c = -4*c - 2. Let y be 2\/3*i\/6. Which is bigger: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + j - 6 = 0, -n - 6*j = -3*j + 2. Put n, 4, 8 in descending order.\nAnswer: 8, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-3 - (0 + -8 + 7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 31*i**2 + 3*i + 15. What is the tens digit of z(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxexxxxxexexxe. Give prob of sequence ee.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 8. Let m be 1*-4*5\/(-5). Let t(h) = 2*h**2 + 18. Let i(z) = m*t(z) + 9*y(z). Let q(s) = 82*s. What is i(q(b))?\nAnswer: -6724*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14\/13 + -2767\/26. Let k = -107 - v. Let -k*f**2 - f - 1\/2 = 0. What is f?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 82 - 43\/2*b + 1\/4*b**2.\nAnswer: (b - 82)*(b - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 243 - -26235?\nAnswer: 26500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0 - 5*m + 4 - 3*m**2 + 0. Let y(a) = 4*a**2 + 6*a - 5. Determine -5*h(d) - 4*y(d).\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1920\/48*1*(-6)\/(-10) and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2357935869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441294208 divided by 320708.\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 5*j**2 - 18. Let n be s(-6). Let q be (2\/5)\/(2 - n\/15). Factor -1\/2*d**3 - q*d**2 + 0*d + 0.\nAnswer: -d**2*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17077104 divided by -3\nAnswer: 5692368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4041 and 368318292.\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -9. Let h be -3*((-140)\/v - 3). Suppose -11*l + 10*l = -h. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-5)\/2)*2. Suppose -l*x - m - 7 = -2*x, -x = 3*m + 15. Let t = -0.311 - -0.011. Which is the nearest to -2\/3? (a) x (b) 0 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = -3. Suppose 2*x = 0, -3*x = -5*h - 6*x + 15. Does 13 divide (c - (-105)\/h) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awrrwawajarrwarwj. What is prob of sequence wa?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 29017269?\nAnswer: 58034538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 1 (c) 12 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n - 9, 3*n - 195 = k. Let p = 244 + k. What is the remainder when 78 is divided by p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2. Let i(g) = 747*g - 134*g - 258*g - 216*g. Determine o(i(k)).\nAnswer: -57963*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 0*t - 2*t)*(1 + 2*t - 1) + (t - 2*t - t)*(5*t + 30*t + 41*t) to x*t**2 + g + q*t and give x.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 36*j + 3. Let m be w(11). Let z = m - 0. Let a = z + -238. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49621, -198699, -447155, -794983, -1242177, -1788731?\nAnswer: -2434639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2323, 4647, 6971?\nAnswer: 9295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230685 and 7077.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134433*i**2 + 1 - 1 - 127567*i**2.\nAnswer: 6866*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22175, -20451, -18727, -17003, -15279, -13555?\n\"Answer: 1724*x - 23899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16\/15 + 5\/3. Let y(x) = x + 8. Let c be y(-5). Suppose -c*r = -3*p - 6, -4*p - 3 = -2*r + 1. Which is smaller: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 5:46 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 201 = w, 2*w + 398 = -0*w + 4*s. What is the common denominator of (w\/14 - -6)*(-4)\/6 and 25\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12146400 and 1200.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 632 divided by -316\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 31283769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 3*i**2 + 3*i + 1. Let n = 5 - 7. Let l be c(n). Let f = l + 15. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-198)\/(-24) + 5 - 6\/(-8). What is the units digit of 2594\/k - ((-35)\/49 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/4 - 27*i**2\/2 - 16560*i + 1053768.\nAnswer: 3*(i - 92)**2*(i + 166)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142 and (-2 - -9)*(-468)\/(-364)?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 332 + -328. Suppose -32*i + 29*i = -q*z + 2447, z - i - 612 = 0. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -194*(-17)\/4 - 38\/(-76). What is the highest common factor of h and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112525 (base 9) to base 11\nAnswer: 46790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2373*h + 214*h - 363*h as w*h + c and give w.\nAnswer: -2522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 9*y - 60. Calculate the remainder when i(-10) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/4 - 3*x - 2. Let r(l) be the first derivative of w(l). Let j(f) = -151 + 151 + 7*f. Give r(j(s)).\nAnswer: 147*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h = -245*h + 35*h - 3430 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-39))\/(84\/42)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 108.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*z + 27*z + 141. What is the hundreds digit of (-70)\/(-50)*10\/6*z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*s**3 - 130*s**2 wrt s?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**8\/6720 + c**7\/630 + c**6\/360 - c**5\/20 - c**4\/12 + c**2. Let h(j) be the second derivative of w(j). Determine h(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {z: 2, v: 1, f: 1, d: 1, n: 1, q: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -357*c - 707. Let u be a(-2). Let n(p) be the second derivative of 1\/6*p**3 + 0 + 7\/2*p**2 + 2*p. What is n(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 8*b**4 + b**3)*(-6 + 5 + 2).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9366*i**3\/11 + 206048*i**2\/11 + 103018*i - 44.\nAnswer: 2*(i + 11)**2*(4683*i - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**2 - 6*x**2 + 7*x + x**3 + 5*x**2 + 11 - 12. Let n be f(6). Solve n*l - 4 - 11 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 534 - 533. Let h = 0.6 - 0.6. Let g = -0.1 + h. Which is the third smallest value? (a) r (b) g (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-60))\/(384\/240)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.513 + 3.487. Let h = 33 - 28. What is the third smallest value in p, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k + 10. Let y be (k\/(-6))\/(42\/36). Suppose 0*h = 5*h - q - 3, q = 2*h - 3. Which is the nearest to h? (a) -4 (b) -1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -421 in -0.5, 4, -3\/11, 7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 7 = 2*o - 4*u, -5*o + 2*u - 145 = 0. Let m = o - 13. Let f(j) = 5*j - 10. Let a be f(2). Is a bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**6\/120 - p**5\/4 + p**4\/24 - 11*p**3\/6 + 5*p**2. Let f be r(15). Suppose -3*t + f*t = 19. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + f**2 - 2*f - 4. Let m be p(5). Let o = m + 119. Suppose o*h + h - 36 = 0. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, s: 9, m: 2}. Give prob of picking 2 m and 1 s.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 31 - 3*r + 318 - 30 - 54 - 63.\nAnswer: -3*r + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1625)\/(-25))\/(14\/6) + -4*2\/(-56).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.9 + 17. Let n = 9 + -5. Put n, t, -2 in decreasing order.\nAnswer: n, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51480 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14800 + -14823. Which is the closest to 1? (a) 10 (b) n (c) -3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 5*q**2 - 16*q**3 + 400 - 199 - 201 + 2*q**4 to the form w*q**4 + k*q**3 + c*q + f*q**2 + i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61 and 58.\nAnswer: -3538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2. Let x be j(1). Let l be (3 - (x + 5))*2. List the prime factors of (18\/l)\/((-15)\/40).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u)**(-47) assuming u is positive.\nAnswer: u**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -161.9.\nAnswer: 161.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 1. Let z be u(2). Let y = z + 43. Suppose -3*x - 8 = -4*f - 0, 27 = 3*f + 3*x. Calculate the greatest common divisor of f and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -14*x**2 + 2*x - 3. Let w(y) = -5*y**2 - 1. Let r(m) = d(m) - 5*w(m). Determine r(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, -1, 41, 121, 251?\n\"Answer: 2*n**3 + n**2 - n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 4*u + 7. Let r(z) = 8*z + 8*z - 13*z + 16*z - 20*z. Calculate r(k(o)).\nAnswer: -2*o**2 - 4*o - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/811?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 5\/12*l**3 - 9*l - 2 + 1\/12*l**4 + 0*l**2. Factor a(g).\nAnswer: g*(2*g + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 31 + 4 - z - 11. Let j be y(21). Let a(b) = -2*b + 3. Let o(f) = -3*f + 4. Let s(l) = -5*a(l) + 4*o(l). Calculate s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1306 + 53. What are the prime factors of z?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35009 in -62, 1\/5, 4?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4.24 (b) -5 (c) -903\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = -0*m. What is the tens digit of 156\/9 + m\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5223351 (base 6) to base 16\nAnswer: 3d933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13635398.\nAnswer: 2, 7, 973957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -13. What is the common denominator of (1 - 2)*(-87)\/15 and (-596)\/(-30)*15\/r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1442118768?\nAnswer: 2, 3, 23, 1306267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29189 divided by 17?\nAnswer: -1717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*l**3 + 485*l**3 + 52*l**3.\nAnswer: 647*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*g**3 + 0)*(5*g - 2*g - g)*(-3 - 2 + 6)*(2 - 1 + 1 + 4 - 5 + 3 + (2 - 2 - 1)*(-5 + 0 + 1)) to x*g + b*g**4 + p*g**2 + h*g**3 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2728.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 2*m - 20, 4*a = -2*m - 20. Suppose 2*d + 0 = -2. Let v be (d\/2)\/(5\/(-2)). Is m <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnp when four letters picked without replacement from npnnppppnpnp?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.457\nAnswer: 1.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**2\/2 - 3*o + 29. Determine h(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x + 6 = 17*x. Let n = 92 + -28. What is the tens digit of (n\/(-20))\/(x\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*12\/(-16)*6\/(-15).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6976017 months in millennia?\nAnswer: 0.000058133475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3402 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 10, -12*i - 4 = -14*i - 2*v. Which is the third biggest value? (a) -6\/5 (b) 7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4497709383\/9907940 + 1\/495397. Let g = 454 + x. Let w = 0.2 + 0.3. What is the biggest value in -1, g, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sxxxs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 468, 442, 370, 228, -8, -362, -858, -1520?\nAnswer: -2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 - 672*j\/5 - 56448\/5.\nAnswer: -2*(j + 168)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q*u*y + 124*q*y + 8*u*y - 4*u - 3 wrt q.\nAnswer: -3*u*y + 124*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 9. Suppose 3*k - 3*x = 15, 4*k - 3*x = -w*x - 1. Let m = -49\/4 - -95\/8. What is the third smallest value in -3, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3 - 7) - ((13 - 4) + -16) - 43.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5.1. Let h = 9.3 - 9. Suppose 0 = 5*p + 2*x - 2, -4*p - x = -4*x + 3. What is the nearest to p in y, h, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c = 2*t - 16, -3*c - 3*t - 24 = 0. Let y = -3 - c. Solve -y*z - 27 = -7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.382581 less than -641?\nAnswer: -630.617419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w + 25*w - 10 = 0. Let j(h) = 3*h**2 - 2*h**w + 5*h**2 - 2*h**2. Let d(z) = -3838 + 8*z**2 + 3838. Determine d(j(m)).\nAnswer: 128*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -17*l**2 - 214*l + 124. Give g(-13).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/3420*-76)\/(4\/(-318)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1139 - 5647\/5. Suppose -5*w + 88 = -w. Find the common denominator of c and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*y - 20. What is the derivative of -n**2 - 2*n**2 + n**2 - n**2 + y wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 w when four letters picked without replacement from ddwwdwwwdww?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 12:28 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -486*c + 483*c + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w - 15 - 7 + 21. Let s(l) = l**3 + 4*l**2 - 14*l - 6. Let t be s(-6). Determine a(t).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 199 + 14. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1.1. Let u = 0.2 + p. Let y = -24 - -25. Which is the nearest to u? (a) -1\/2 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.7 - -17.699999895. What is x rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 158 and 2270121.\nAnswer: 2270279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2097, -4193, -6289, -8385, -10481?\n\"Answer: -2096*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let m(q) = -q**3 - 9*q**2 - 2*q - 7. Let f(n) = m(n) - r(n). Let l be f(-9). Calculate the remainder when 70\/(-1*(-3 + l)) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/(19\/95). Let o = -739\/12 + 125\/2. Find the common denominator of o and 8\/(6 + 10)*2\/f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56850915845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 309863, 619724, 929585, 1239446?\n\"Answer: 309861*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 0. Suppose 7 = h - 11. Suppose o + 2*x = 5*o - h, -15 = -5*o + x. What is the closest to -0.1 in -4, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 445 and 1157?\nAnswer: 5785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -33. Let j be 4\/2*(-42)\/b. Does 4 divide (-185)\/(-35) - 2\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/1640 and -73\/12.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 71.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 4*a = -12*a + 506820. What are the prime factors of a?\nAnswer: 2, 3, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000194261 rounded to 6 decimal places?\nAnswer: -0.000194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 84*z**3 + 0*z + 60*z**3 + (-z**2 - 3*z**2 + 5*z**2)*(12*z - 6*z + 0*z) in the form o + h*z**3 + q*z + m*z**2 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(4) + sqrt(64))*-3.\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1495628, 2991314, 4486998, 5982686, 7478384?\nAnswer: 8974098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 20, -2*p - 25 = -7*p - m. Let f(t) = 7*t**2 + 11*t + 8. Let u(o) = 20*o**2 + 32*o + 23. Let a(h) = p*u(h) - 17*f(h). What is a(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 3. Let s be d(6). Suppose -n + 15 = h, -s*h + 0*h = 15. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -z. Let o = -1 - z. Let j = 12 + -7. What is the nearest to o in j, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Solve 15 = -3*w, 2*w = a - b*w - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*3 - (7 + -6). Factor -q + d*q**5 - q + 2*q.\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**20\/(f*f**(2\/63)) assuming f is positive.\nAnswer: f**(1195\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m**3 + 54*m**3 - 34*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 - -152. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -2\/5 (b) 4 (c) -0.05150756 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4581640 divided by -6?\nAnswer: -2290820\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7))**(-2) assuming l is positive.\nAnswer: l**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2\/3, 0.15, -378, -352?\nAnswer: -352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 + 57 + 26*c**2 to the form h + o*c + w*c**2 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 784, 3306, 7558, 13540, 21252, 30694?\n\"Answer: 865*t**2 - 73*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlll when four letters picked without replacement from lzzzzzzlzzlzzzlzz.\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12441 and 203?\nAnswer: 87087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**2\/6 + 183010*b\/3 - 366025\/6 = 0. Calculate b.\nAnswer: -73205, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 135\/(-770) + (-15)\/105 + 2\/(-11). What is the fourth smallest value in 3\/68, g, 0, -2\/45?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**5\/60 - 5*x**4\/24 - 3*x**3\/2 + 26*x**2. Determine v(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3063?\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 0 - -1 - (-19 - (18 - 39))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, 1\/13, 32, -3\/4, 0.3?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 13*a**2 + 3*a**3 - 29*a**2 + 20*a**2 + 0*a - 13 + 3*a. Does 15 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 46. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40 and 0.76.\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -198, -479, -870, -1365, -1958?\n\"Answer: n**3 - 64*n**2 + 20*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7 = 5. Suppose -135*g + 130*g - 5 = 0, 44 = 3*w + 4*g. Solve -3*y - f = -w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3225\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (8 - 4)) + 3 + -9 + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p + 3*p + 3*p. Let m(h) = -5*h. What is m(q(v))?\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from hblllhhhhlhlbbhlh?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*m - 23 = 0, 3*u + 17 = -5*m - 2. Factor 1080 + 8141*l + 5948*l**3 + 47610*l**u + 50453*l**3 + 4434*l**3 + 2361*l + 1918*l.\nAnswer: 5*(23*l + 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.35211 to two dps.\nAnswer: 15.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33746332489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 5*t + 3*t - 2*t - t + 2*t + (-3 + 1 + 3)*(-2*t + 2*t - t) + 4*t - 4*t + 3*t + 9 - 6 + t - 6)*(0 - 2 + 1) in the form n*t + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 328, 701, 1074?\n\"Answer: 373*f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 11:06 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(488\/732)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 12:22 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -3*y + 3, 2*b = b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 189 = -1857. What are the prime factors of k?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 4.347056\nAnswer: 4.247056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45016 by -17.\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23170532 by -3908.\nAnswer: -5929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 93198, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22807 + 22807.4. Sort 2\/9, 252, r in increasing order.\nAnswer: 2\/9, r, 252","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28.1 and -0.13.\nAnswer: -28.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 8. Calculate q(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 17*q + 9 = 0. Suppose -7*r - 6 = -q*r. Suppose -a - r = 0, -a + 33 = 2*n - 0*a. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.478 - -249.478. Let m = c - 248.999589. Round m to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d + 2. Let x be f(-1). Which is the second smallest value? (a) 2\/3 (b) -2\/13 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59691940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 419*x + 1835. What is d(214)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20530, 41048, 61564, 82078, 102590?\nAnswer: 123100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -2) + 1 + 3. Suppose 156 = y - w, -8*w + 324 = q*y - 4*w. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)*-5 + sqrt(9))*-3)\/((sqrt(3) - sqrt(33)\/(sqrt(33)\/sqrt(3))) + (sqrt(33) - sqrt(33)*2)\/sqrt(11)).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330548149?\nAnswer: 19, 59, 294869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 6*t**2 + 10*t - 3. Let f be m(7). Suppose -7*y - 1509 = -f. Round y to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -338580 by 135.\nAnswer: -2508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 + -78. Let n be -118 + 4\/(-22) + 2\/r. Let k = -111 - n. Calculate the greatest common divisor of 14 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 341680895 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54796 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -492\nAnswer: -19\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*((-3)\/(-9))\/(10\/(-50)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 2976 = 8*c. Suppose -5*z - 4*q + 307 = -0*z, -3*z - 3*q + c = 0. Is z smaller than 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1555 is divided by 284?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:35 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 35 = -0*m - 2*s, 399*m - 4*s + 29 = 394*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 7*g - 148. Let k be i(-9). Let r(s) = -19*s - 8. Calculate r(k).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 972*d**6 + 2*d**2 + 142?\nAnswer: 116640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 - 8. Suppose 2*i - 3*g - 30 = 0, -2*g = 8*i - 3*i - k. Calculate the lowest common multiple of i and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45573?\nAnswer: 3, 11, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - 2*g - 1. Let m be h(-1). Let f(k) = k**2 + 3*k + 2. Let b be f(-3). Solve -b = -m*i + 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 6*p**2 + 3*p - 15. Let o = 38 + -32. Let i be a(o). Solve 0 = -k - i - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*q = 3, -q + 15 = 5*r + 4*q. Solve -2*x - r = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32616 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 a, and 1 h when four letters picked without replacement from ahatavaaeaveeaaaa?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.02729 * 4\nAnswer: 0.10916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (9016\/1449 - (-6)\/(-27)) + (-368)\/61\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5, 1297*l - 1299*l = 2*a - 9 - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 0*o**2 + 3 - 327*o + 114*o + 106*o + 3*o**2 + 111*o. Let t(g) = 6*g**2 + 9*g + 6. What is 9*s(b) - 4*t(b)?\nAnswer: 3*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 494 - 1012. Let p = -504 - t. Solve 5*r - p = 4*g - 0*g, 0 = -3*g - 4*r + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -9*t + 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4068589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 smaller than 761\/114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*o - 29, -3*i + 4*o + 91 = 2*i. Let l(h) = h**3 - 4*h**2 + 5*h - 3. Let n be l(3). Let t = i + n. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 10268.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 611, -159, 1 in descending order.\nAnswer: 611, 1, -6, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13.2 + 29070364.72707\nAnswer: 29070377.92707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -89*z**2 - z**4 + 95*z**2 - z**4 + 2 in the form j + t*z**4 + s*z**3 + r*z + k*z**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 8 + 3 + 29*b in the form u*b + m and give u.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152124 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3\/4*o**2 + 3\/2 - 9\/4*o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 + 16*d**4 + 12*d**3 = 0. Calculate d.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 s when four letters picked without replacement from dputs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4245 - -4185. Which is smaller: -14 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 10:06 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -879370.\nAnswer: -3\/879370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -523.7 + 0.18.\nAnswer: -523.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 672 and 683616.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8139*a = 8117*a + 286 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 246*h + 250*h - 54 - 497*h to l + s*h and give l.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**14)\/(u\/(u\/u**(-3\/17)))*u*u**8*(u\/(u*u\/u**(1\/28)*u))\/u assuming u is positive.\nAnswer: u**(10573\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0.85. Let i = a + 0.1528. What is i rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 185 + -105. Suppose 0 = -3*a + h + 201, 177*a - 3*h + 377 = 182*a. Calculate the highest common divisor of a and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770\/(-220)*(-32)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2880) - (sqrt(2880) + -6*sqrt(2880) + sqrt(2880))))\/(sqrt(400)*-3 + sqrt(16)\/(sqrt(4) + sqrt(16)\/sqrt(4))).\nAnswer: -720*sqrt(5)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let w = -30651 - -30652. Let p be -61*(0 - 1)*1. What is the biggest value in p, -5, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018983239 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -15173*b - 106208. Calculate x(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -494 - -1751. Let a be (30\/44)\/(y\/(-3709)). Let w = a + 24\/419. Calculate the common denominator of w and -87\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 939 = 2*m, 5*z + 1456 = 17*m - 14*m. What is the hundreds digit of (-106)\/m + 1532\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114327\/1040 or -111?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, 3, -15 in ascending order.\nAnswer: -15, -12, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 5*i + 11, i - 11 = 5*s + 3*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 281242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102*h**2 - 37*h + 1.\nAnswer: (3*h - 1)*(34*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281.731 years in decades?\nAnswer: 128.1731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(65) - ((sqrt(65)*-4 - sqrt(65)) + sqrt(65) + sqrt(65)))*2*1)\/((sqrt(2000)*-2)\/(-1*sqrt(256))).\nAnswer: 96*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1897*h = -1810*h - 1392 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 30 = -4. Solve d = -3*b + 8, 3*b - 21 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdv when three letters picked without replacement from lbvfd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -234 + 234. Solve 5*v - 10 = -p*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n + 18*n + 16*n)*(4 - 6 + 9) + n - 7*n + 2*n to h + g*n and give g.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 4*f + 5. Let a be m(4). Solve -l = -2*n + 7, -5*n + a*l = -25 + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 - -7 - 107 - (-33 - (-1 + 0))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 2:58 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 19. Let h(o) = -6 - 1 + 7 + 1 - d*o + o**3. Let x be h(2). Solve -3*p + 4*y = -0*y + x, 3*p + y - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/3 (b) 4 (c) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + -4)*5*(-6)\/(-25). Let k(c) = c**2 - 7*c + 6. What is k(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 11:05 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 4. Let f be m(4). Suppose 6*k = 2*k + 4*q + f, 0 = 4*q + 16. Let j = 3 - k. Solve -14 = j*r + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*j + 599*j - 200*j - 191*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -0.3. Let v = -0.04 - -0.04. Suppose -2*y - 5 = -7*y. What is the closest to 1 in y, i, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.1 + 9. What is the second biggest value in -1\/3, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/7 - 9235168*g\/7 - 55410864\/7.\nAnswer: -4*(g + 6)*(g + 2308786)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.70148 * 43\nAnswer: 30.16364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, f: 3, j: 4, v: 2}. Give prob of sequence fvf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -11112?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 488825.8 centuries?\nAnswer: 586590960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.4 (c) -3143\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1067.085\nAnswer: -5335.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 210 - 214. Let n(r) = -3*r + 7. Let b(t) = -4*t + 0 + 6 + 4. Let x(w) = 5*b(w) - 7*n(w). Give x(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48550972 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**4 - 4*a**3 - 7*a**2*p + 403*a*p wrt a.\nAnswer: -60*a**2 - 24*a - 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 2:16 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 - 15*d - 29. Let c(p) = -3*p**2 - 7*p - 15. Let t(x) = -7*c(x) + 4*l(x). Let v be t(12). What are the prime factors of 71 - (v + (2 - 2))?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c - 4. Let a(w) = -8*w - 5. Let d(y) = 6*a(y) - 5*k(y). Let j be d(-5). Suppose -87*b - 15 = -84*b. Sort -3, j, b in ascending order.\nAnswer: b, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1133*u**2 + u + 26246.\nAnswer: -2266*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4212071 is divided by 2105838?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14571162?\nAnswer: 2, 3, 389, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/70551 and -71\/15678.\nAnswer: 141102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -10804\nAnswer: 1\/5402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 8*m - 31. Determine u(-7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**2 - 60*v + 308. Give k(-16).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3542871*i - 7 - 43*i**2 + 3542871*i in the form d*i + z*i**2 + u and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 6*r**2 - 3*r + 14. Let m be y(-5). Sort m, -2, -5, 2 in increasing order.\nAnswer: -5, -2, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 4*i**2 + i - 4. Let o be p(4). Suppose 3*d - 78 - 15 = o. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**0)**(-4\/5)\/(u**(2\/5))**(7\/4)*u**2\/u**1*((u*u*u*(u\/u**(-1)*u)\/u)\/u)**44 assuming u is positive.\nAnswer: u**(351\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 4*o**3 + 10*o**2 - 27*o. Find the first derivative of f(c) wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24350?\nAnswer: 2, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + 1. Suppose l*a - 147 = 1582. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)\/d)\/(d*d**(2\/15)*d))\/(d**(-1\/4)*d*d)**7*d*d**(1\/6)*d*d\/(d\/(d**(1\/2)\/d))*d*(d**(-2\/7))**(-5) assuming d is positive.\nAnswer: d**(-5161\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012300222 (base 5) to base 14.\nAnswer: -3bd117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 + 5*m. Let a(o) = 6*o**2 + 6*o. Let n be 7\/(21\/(-222)) + 2. Let i be n\/(-12)*(-2)\/(-4). Let f(y) = i*p(y) - 2*a(y). Calculate f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*g + 110*g - 39*g to the form f*g + a and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 - 7772*b + 994*b + 523*b + 3854*b**2 - 4910*b wrt b?\nAnswer: -6*b + 7708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 4*z**2 - 17*z. Suppose 0 = 3*f - 7*f + 12. Find the common denominator of (f\/6)\/(-3 - 0) and h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-84))\/(50\/1780). Let t = -103\/483 - -6\/23. Let g = t - a. Sort g, -5, -4\/3 in descending order.\nAnswer: g, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 - 3.9. What is h rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41292 or -2?\nAnswer: 41292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 97.5+2094\nAnswer: 2191.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -330, -4, 4, -5, 157, 2 in descending order.\nAnswer: 157, 4, 2, -1, -4, -5, -330","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14343136 and 2996.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/21 and -17\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 - -39. Calculate the least common multiple of t and 8.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/1369 and -25\/4107.\nAnswer: 4107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -18. Let n = -2 - r. Suppose 118*i = 116*i + 10. What is the remainder when n is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 0*v + 1\/3*v**3 + 4\/3.\nAnswer: (v - 2)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 32*x**2 - 21*x + 58. Let g be a(27). Let g - 1344*l - 48*l**3 - 43*l**3 - 108*l**2 + 89*l**3 = 0. What is l?\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 7. Suppose 7*p = 6*p - 18. Let g be (-376)\/(-72) - (-4)\/p. Is y(g) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301026157 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*b - 19*b + 14 - 59, -6*d - 84 = 4*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (-3 + (-687)\/(-12))*-4. Suppose v + 1464 = 14*h. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -89, -369, -815, -1421, -2181, -3089, -4139, -5325?\n\"Answer: o**3 - 89*o**2 - 20*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 18. Let j(a) = a**3 + a**2 + 1. Let d be j(s). Let w(n) be the first derivative of 2*n**4 + 2*n**3\/3 - n**2\/2 + 1. Give w(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 + -700d?\nAnswer: -6d96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 12, -3*w + w = 4*m - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 2*a**2 - 3*a + 2. Let s be o(1). Suppose s = -9*j + 2*j + 343. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*g + 4*w + 1, 0 = -3*w + 3. Let t = 4 + g. What is the third derivative of 4*d**3 - 5*d + 4*d**t - 4*d + 9*d wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 5*n**2 - n - 16. Let g be x(-4). Is 4 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2944 = 10*j + 124*j - 138. Let f(w) = -w. Let u be f(-2). Suppose 0*m = u*m - 46. What is the highest common factor of m and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 51*k + 80 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42953598 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (609*u**2 - 38*u**2 - 1269*u**2)*(2*u + u - 2*u).\nAnswer: -698*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 7, k: 2, b: 1, p: 5, a: 4}. Give prob of picking 2 k and 2 a.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5546 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 13. Let q(t) = 24*t - 69. Calculate -4*f(v) + 2*q(v).\nAnswer: 36*v - 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.031822 + -32685.031822. Let o = c - -33011.79. Let w = o + -325. Round w to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - -0.1. Let t = -498.1 + 498. Is t greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 32, 0.5, -166, -5, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -296.47628 rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/7 + 552*n\/7 - 25245\/7.\nAnswer: -3*(n - 99)*(n - 85)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1656763 and 2573?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0869281 - 17.6956219. Let m = g - -17.73. Round m to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6560)\/(-285) - 23)*-12.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 22*y + 8 - 8 to the form p*y**2 + h*y + c and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 606 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142023 - 33203?\nAnswer: -215230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 5*k**5\/4 + 95*k**4\/12 + 35*k**3\/3 - 34*k. Factor n(l).\nAnswer: 5*l*(l + 1)*(5*l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -33 - (-1 - -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -33*p - 332. Determine g(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**2 + 8*m + 3. Let c be -2 - (6 - (6 - 5)). What is r(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*h - 31*d + 34*d, 0 = 8*h + 37*d - 34*d + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(0 + 0 + 1)*(3 - 3 - 1)*(2*h + 3*h - 2*h).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 166174 + 2?\nAnswer: 166176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 345*s + 20998. Calculate q(-62).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/126 and -1\/29970.\nAnswer: 209790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*v + 42, 4*v - 57 + 5 = -2*f. Let t = 17 - 12. Solve t*u - 5*y = -0*y - 20, 4*u = -y - v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2\/3)\/n))**11*(n**(3\/2))**(13\/2) assuming n is positive.\nAnswer: n**(469\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 94.6865?\nAnswer: 99.6865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 324530 (base 6) in base 10?\nAnswer: 26982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - g - 3*g)*(-2*g - g + 5*g) + (0*g - 5*g + 0*g)*(0*g + 0*g - g) + 2*g**2 - 4*g**2 + 0*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -406 divided by 23694?\nAnswer: -203\/11847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q**4 + 60956975*q**3 + 46447054786920*q**2 + 220622317768620*q + 139340295725040 = 0. What is q?\nAnswer: -1523922, -4, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-854)\/(-8) + 3\/12. Suppose -101 = 4*c + k. Let w = c + 73. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06252876 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 42 = 5*q, 3*q - 4*q = -3*y - 6. What is the smallest common multiple of q\/6*((-44)\/(-12) + -1) and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9948 to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2995048 and 33.\nAnswer: 33.2995048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 541943 or 542694?\nAnswer: 541943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148383*z**2 + z - 6 + 682539*z**2 + 0*z + 4.\nAnswer: 534156*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 26877427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5\/3 + 16*c**4\/3 - 38*c**3\/3 + 8*c**2 = 0.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 2*c - 4*c)*(41*c - 384*c + 17*c - 504*c).\nAnswer: -830*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 19 + 19)*(-f + 3*f + 428 - 570)*(-3 + 5 + 4).\nAnswer: 12*f**2 - 852*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3 + -104.3. Let q = 237.8803 + -135.8742. Let u = o + q. What is u rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.71 + -1.29. Which is the nearest to -1\/5? (a) 1\/4 (b) k (c) 3 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 7*v - 27. What is the remainder when 5\/(15\/9) + 112 is divided by s(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/(-27))\/(-1)*3. Solve -n = -5*s - 3*n - 25, 2*s + x*n + 16 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4395 = 4*w. Suppose 3*t + 11*d - 9*d - 860 = 0, 5*t - 3*d - w = 0. What are the prime factors of t?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/23 + 12*n**2\/23 - 648*n\/23 + 1232\/23 = 0. Calculate n.\nAnswer: -22, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60898, 60912, 60926?\nAnswer: 60940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 - 93. Suppose -j + 13 = -4*b, -2*b + 5*j + 8 = h. What is the nearest to 1 in 0.3, 0, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289819.3 rounded to the nearest 100?\nAnswer: 289800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2096 divided by 2096\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 434*x + 107021. Give l(-250).\nAnswer: -1479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 28*w - 113. Calculate z(26).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (((-56)\/(-12) - (4 + -2)) + -5)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = i + 5*d + 1, 7 = 2*i + d. Let s be (-4)\/i + (-9)\/(-27). Which is greater: s or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-2)*(26300\/(-225))\/(-263)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7868.493 nanoseconds to milliseconds.\nAnswer: 0.007868493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - (-72 - (-108 - 38))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 253*h**3 + 24*h**2 + 34*h + 10. Give g(-1).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4.9712 + -24567.8\nAnswer: -24562.8288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192*c - 2 - 932*c + 300*c - 32*c - 808*c - 988*c.\nAnswer: -2268*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5 = -3*f + 2*f, 5*v - 2*f + 9 = 0. Let x = v - -7. Let l = x - -5. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 10:46 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-26)\/546)\/((-2)\/14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 + 613*i**3 + 4253*i**2 + 6671*i + 3030.\nAnswer: (i + 1)**2*(i + 5)*(i + 606)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7455?\nAnswer: 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35 + 46 - 127)*((-2 + 3 - 2)*(-3 - 1 + 5) + 1 - 3 + 0 + 0 + 1 - 2 - 1 - 2 + 4)*(-1 - 3*r**2 + 1).\nAnswer: -1044*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 58. Suppose -17*g + 24 = -13*g. Does 13 divide y(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 26*s - 48. Let u be o(-2). Sort u, -3, -0.5, -0.6 in increasing order.\nAnswer: -3, -0.6, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487 = 88*h + 2244 + 437 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60\/(-2)*(-11)\/33.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2\/415063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4832*j - 2405*j - 2425*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 2. Let n(p) = -7*p - 1. Determine -4*l(z) - n(z).\nAnswer: 3*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 166 - 65. Suppose 2*t - 5*o - 15 = -47, 2*t + 48 = o. Calculate the remainder when s is divided by t*(-6 + 2 - -3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 5*t + 1. Let y be k(-5). Calculate the remainder when 5 is divided by (3 - 0) + (0 - y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 3 + -2 + 3 - 5. Suppose -4*m + m = -18. Let r = m + z. What is the highest common factor of r and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 665 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -757 + 32554\/43. Let y = -131426 + 16954049\/129. Let u = d - y. Is u equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 2*i + 3*i + 2)*(3 + 3 + 1) as f*i + b and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 - 90957*g**4\/2 + 159193*g**3\/2 + 136439*g**2\/2 - 159189*g\/2 - 22741 = 0. Calculate g.\nAnswer: -22741, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -297, -1160, -2587, -4578, -7133, -10252?\n\"Answer: -282*l**2 - 17*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {d: 5, t: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -40672 less than or equal to -8013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3844960 by -40.\nAnswer: 96124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.01 - 0.01. Let w = 34 + -30. Let t = d + w. Put -0.2, t, 0.2 in decreasing order.\nAnswer: t, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.18 + 0.02. Let o(p) = -8 - 5*p + 2*p + p. Let c be o(-4). Sort c, 4, v in decreasing order.\nAnswer: 4, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 10*n - 2. Let r(k) = -5*k**2 - 22*k + 6. Let b(a) = 7*g(a) + 3*r(a). What is b(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10966*h**6*t**2 + 6*h**6 + h**2*t**2 + 9*h**2*t + 86*h + 2*t**2 - 11*t wrt h?\nAnswer: 1315920*h**3*t**2 + 720*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 7 - 4. Suppose 13*r = 11*r - 2. Let a be ((-20)\/8 - -4) + r. What is the nearest to p in 2, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -59, -134, -241, -380, -551, -754?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12571833, 12571882, 12571929, 12571974, 12572017, 12572058, 12572097?\nAnswer: 12572134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 4 (c) -1 (d) -0.1 (e) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 equal to -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, -1, 8, 25, 50, 83, 124?\n\"Answer: 4*r**2 - 11*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 0.5, 0, 3, -182?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 0 + (-6 - -5). Solve 0*z = 4*z + 4*f - 20, n = -5*f + 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -869910 divided by -10.\nAnswer: 86991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 129 times -0.033\nAnswer: -4.257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 9. Does 8 divide k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.57 + -8.01. Which is the closest to 1\/3? (a) 3\/4 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-62)\/(-8) - (-13)\/52. Let y be (6\/s)\/1*(-16)\/(-3). Solve y*m = 4*g, -2*m + 0*g + 28 = 5*g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130660 is divided by 130050.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 25 = -15. List the prime factors of (18258\/136)\/(3\/(-16)*c).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -2*n**3\/33 + 20*n**2\/11 - 200*n\/11 - 231. Suppose t(w) = 0. Calculate w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084407997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25545215.\nAnswer: 5, 19, 268897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*j + 14 = 1, -4*k = -4*j - 20. What is the units digit of 2 + k + 265 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, and 2 i when four letters picked without replacement from {y: 1, i: 3, b: 3, j: 1, g: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*c + 265 = 0, 4*c + 77 = h - 192. Suppose -4*m + h = 13. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 2, h: 1}. What is prob of picking 1 h and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9159358l?\nAnswer: 915.9358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526551 to the power of 1\/2, to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 196.4869?\nAnswer: 2357.8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011152 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 26*o**2 + o - 26. Give t(26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1*-1*(-4 + 5 + -1932)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-3))\/((-65)\/(-195))*(-2)\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*v - 786, -3*v - 2*r = 2*r - 1165. List the prime factors of v.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 1638197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b + 7. Let g = -9 - -6. Let t be h(g). Let l = -4 + 3. Put -5, l, t in descending order.\nAnswer: l, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 2. Let u be a(6). Calculate the remainder when 28 is divided by (-1 + 13)*u\/16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6175 at least as big as 6175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.2 - -5. Let x = -22.8 - -27. Let z = x + k. Is -1 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.968418m in micrometers?\nAnswer: 8968418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 11*p = -10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 101037550 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 103. Let y = b + -81. Find the third derivative of -9*j**3 + 7*j**y + 8*j**3 - 25*j**2 wrt j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2298.29583 to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 411810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 21*h**2 + 7*h + 5. Let t(w) = 11*w**2 + 4*w + 2. Let l(i) = 4*q(i) - 7*t(i). Let p(m) = m**2 + 1. Suppose -2*x + 2 = -10. What is x*p(z) - l(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s**2 - 120*s + 2. Let c(m) = 31*m**2 + 483*m - 9. What is 2*c(q) + 9*y(q)?\nAnswer: -q**2 - 114*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 381325?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1547269 + 1547337.9303. Let v = -69 + i. Let q = v + -0.0097. Round q to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 11, 2 in increasing order.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/11 + ((-301888)\/(-5830) - 46).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -32 - -13) + 13 + -9 + 41.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107828125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a + a)*(-4*a**2 + 4*a**2 - 3*a**2)*(-2*a + a + 0*a) + 5*a**4 - 3*a**4 - 3*a**4.\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 89 (base 15) to base 11\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9798996379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d + 4. Let p(n) = n**2 - 11*n + 2. Let f be p(11). Let b = 2 + f. Give v(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-138)\/18 - -5)*(-9)\/12. Solve -z*f - 3*f - 10 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + h + 7)*(5 - 2 + 2*h - 24*h**2 + 27*h**2) to l*h**3 + i*h + j*h**2 + w and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5 = 0, -672*u + 9 = -670*u - o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**3 - 31*m**2 + 3*m - 121. What is j(8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + (sqrt(1216) + -1 - sqrt(1216)) + -5 - (sqrt(1216)*-2 + -1))**2 + -5 + ((4 + 1*sqrt(1216))**2 - sqrt(1216)) + 2 + 0.\nAnswer: -184*sqrt(19) + 12198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1319\/4 + 327. Let u = 3 + v. What is the nearest to u in -0.4, 0.4, 4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*l*y - 11541*l - 6*y**4 + 4*y**3 - y**2 wrt y?\nAnswer: 6*l - 24*y**3 + 12*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyxyx. Give prob of sequence yy.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q + 1. Let h = 6 - 6. Suppose h = 3*y + 3*p - 21, -p - 38 = -3*y - 1. Solve -2*j + 3*n = -y, -q*j + 29 = 2*n + 11 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -10*a + 15*a + 3*f, 16 = -4*f for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 168*r - 13. Let g(o) = -55*o + 4. Let p(b) = 11*g(b) + 4*q(b). Let y be p(2). Calculate the greatest common factor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 - 6*r + 6. Let n(i) = -7*i**2 - 11*i + 13. Let s(p) = -2*n(p) + 5*q(p). Calculate s(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23905 is divided by 275?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-189)\/9 + 16 - (-109)\/22)*-2\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 363006030?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 1. Let c = 0.209 + 4.911. Let k = c + -0.12. What is the nearest to -0.1 in 2, j, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**4 - 2*s**3 + 4*s**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 543*k**2 + 23*k + 200. Let l(n) = 49*n**2 + 2*n + 18. Let w(v) = 2*a(v) - 23*l(v). Let r(i) = 2*i**2. What is w(r(m))?\nAnswer: -164*m**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308068801.\nAnswer: 308068801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*12\/(-2400)*-20.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.13745 to one dp.\nAnswer: 36.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b76 (base 12) to base 14.\nAnswer: -1c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -336 - 69. Let t = 139 - o. Let l(m) = -3*m**4 + m**3 - m**2 + 3*m. Let n(v) = -3*v**4 + 3*v. Let y(x) = t*n(x) - 3*l(x). Solve y(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2469, -2537, -2607, -2679?\nAnswer: -2753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2*s - 5*k - 2030, 0 = -5*s - 4*k + 2102. What is the highest common factor of 2106 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, c: 2, b: 5}. What is prob of picking 1 j and 3 b?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 - 9*a + 7*a + 2*a**2)*(5*a**2 + 2*a**2 - 4*a**2).\nAnswer: -9*a**4 - 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 4) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/((-6)\/24)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 530057 smaller than 132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 209 and 8.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {p: 2, s: 3, t: 7, u: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -204*w*x**4 - w*x**3 - 19*w*x + 2*x**2 wrt x.\nAnswer: -4896*w*x - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 279408 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttl when three letters picked without replacement from ltlplwlplzpltpptppp?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/165 and -103\/545610.\nAnswer: 6001710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 + 0)*(2 - 3 - 2)*(-2*x + 2 - 2) to j*x + v and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 877382.9kg?\nAnswer: 877382900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -130 or -1035\/8?\nAnswer: -1035\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -56 (c) 0.7 (d) -3\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 2*s + 89*s**3 + 35*s**4 - 36*s**4 - 84*s**3 + 10 + 47*s**2 to q*s + c + w*s**2 + b*s**4 + x*s**3 and give w.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnpn. Give prob of picking 1 n and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 44. Suppose 39*d + b = 36*d. Let c(v) = -15*v - 1. What is the units digit of c(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 21 = -3*i, -3*i + 25 = i + 3*k. Differentiate -5*v**i + 3*v**4 - 2 - 1 + 8*v**4 wrt v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 22*m**2 - 21*m - 32. Let z be b(12). Solve -5*s + 0*x - 23 = x, x = -z*s - 18 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19644*j*n**3*q - j*n**2*q - j*n*q + j - 769*n**3 + 3787*n**2*q - 3*n**2 + 6*n*q - 5 wrt n?\nAnswer: 117864*j*q - 4614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11136 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000439826 to five dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/13 - 19\/65. Let k = -15\/104 + -3\/13. What is the closest to -0.2 in k, 2, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -219584 divided by 3008\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 7*i**2 + 16*i - 10. Let j(k) = -10*k**3 + 20*k**2 - 49*k + 31. Let q(w) = 2*j(w) + 7*s(w). Calculate q(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(756)*4)\/(-1*(sqrt(1452)*2 - sqrt(12))).\nAnswer: 12*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4014144.9526 + 3974330.4696011. Let p = y + 39812.283. Let b = p + 2.2. What is b rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*h = -58, 3*m + 15*h - 18*h = 99. Let o(u) = -5*u - 7. Let b be o(-5). Let z be m\/9 - 4\/b. Solve -3 = -3*a, 3*a = z*n + 17 - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10692)\/126)\/(2295\/(-1785))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -58. Let s be (-1344)\/(-15) + 6\/15. Suppose -2*t = -4*c + 84, 4*c + t = 6*t + s. Solve -h*i - c = -5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -2\/5 (b) -0.25 (c) -4 (d) -0.02 (e) 68 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.54 - -6.24. Which is the closest to n? (a) 1 (b) 0.133 (c) -0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -3.9540597 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -5*g**4\/24 + g**3\/6 + 3*g**2. Let k = 130 + -134. Determine m(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.99 + 0.01. Let i = -16.906 + -0.083. Let j = i + h. What is j rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 1, e: 1, z: 1, o: 2}. What is prob of sequence xz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*k + 12*k**2 - 148 + 408 - 128 - 132 to the form h*k + m*k**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in 2\/9, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - -857. Suppose 12*s = l + 185. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + 2. Let u = -23.9 + 59.9. Let n = -36 + u. What is the nearest to n in 2, q, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10}. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 - 49. Which is the biggest value? (a) -4 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 23*p + 2*i + 28, 3*i - 30 = -3*p. Solve 16*t - p = 12*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 10. Let t(g) be the third derivative of g**5\/60 - g**4\/4 - g**3\/6 - g**2. 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: What is 279525 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/3124520 and 129\/70.\nAnswer: 3124520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**4*p**3 + 321*g**2*p**3 + g*p - 1108*p**3 wrt g.\nAnswer: 8*g**3*p**3 + 642*g*p**3 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + 11 - (-35 - -44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x**2 - 4*x**2 - 7*x**2 + 2*x**2.\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3587.844 plus -16634?\nAnswer: -20221.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*a - 25, a - 3*a = p + 6. Let g = a - -1. Let t = 1054 + -1052. Solve g = -q + t + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 2\/17 in increasing order.\nAnswer: 2\/17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 6710627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 142 - -46?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-58)\/62 + (-2)\/31. Solve f = 2*d + 2*d - 4, -4*c - 5*d - 15 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 14*u**2 - 12*u + 15. Let q be y(-13). Suppose 5*o + q*n + 100 = 0, o = -4*o + n - 100. Is o bigger than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 804864 and 3219456?\nAnswer: 3219456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -18*a + 82. Let m be z(-11). Let d = m - -82. List the prime factors of d.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - s**3 - s**3)*(-28 + 28 - s**2) + (-63 - 17*s**5 + 63)*(4 - 1 - 2) - 2*s**5 + 4*s**5 + s**5.\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2) - (sqrt(72)\/sqrt(3))\/sqrt(12)))**2 - (sqrt(4)\/((sqrt(36)\/sqrt(3))\/sqrt(6)))**2 - (5*2*sqrt(242)*-1*-1)**2.\nAnswer: -24186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3772604 and 18863020.\nAnswer: 18863020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 - 0) - (-7 - (2 - 0)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 9441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - (-43 - -26)) + 25 + -72.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -6 + -4 - (1 - -7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-104)\/(8844\/(-1764) + -15*3\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(30\/(-90) - 2\/3). Solve -2 = 2*o, 4*o = 4*r - m + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11029481 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: Is 761704 less than or equal to 1523407\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**4 - 1940*u**3 + 18985*u**2 + 1235760*u - 3825360 = 0. Calculate u.\nAnswer: -396, -23, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 124*g*t + 103431*g + 519*t**4 wrt t?\nAnswer: 124*g + 2076*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280, 284, 288, 292, 296?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 8:42 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9271809ug to milligrams.\nAnswer: 0.0009271809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let f(a) = -25*a**2 - 23*a**2 + 49*a**2. Calculate p(f(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 26*f**6\/15 - 113*f**3\/3 + 199*f. Find the second derivative of z(x) wrt x.\nAnswer: 624*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 - 87. Solve 0 = -g*d - 3*t - 3, -t = -1 - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h = -9*h - 3172. What is the greatest common divisor of h and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21879838.\nAnswer: 2, 587, 18637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19378, -19399, -19448, -19543, -19702, -19943?\nAnswer: -20284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 86948.50523 to the nearest 100.\nAnswer: 86900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(13 + (-69)\/46).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/40 + (-202)\/(-70) - 2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26347, 26313, 26279, 26245, 26211, 26177?\n\"Answer: -34*t + 26381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 11*n**2 - 8*n - 2. Is v(9) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2288600 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 6 (c) -0.8 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*u + 22 - 22)*(221*u**3 + 246699*u**2 - 246699*u**2) to the form z*u + n + h*u**4 + s*u**2 + a*u**3 and give h.\nAnswer: -1989","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/3, 5, 0.02, 0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*y - 5*g, -3 = 4*y + 5*g - 0. Let f be (-9)\/6 + (6 - y\/2). Solve 0 + 7 = -5*l + 4*t, 2*t = -f*l - 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-27) + (-876)\/108.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -50*h**2 + 68*h - 8. Let p(s) = -s**2. Let w(k) = m(k) + 10*p(k). Let w(q) = 0. What is q?\nAnswer: 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443205 (base 6) in base 5?\nAnswer: 2141023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -70\/3 (b) -5.64 (c) -0.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 22982 to the nearest one hundred.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {q: 1, g: 1, n: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**2 + 4*s**2 + 0*s**2 + (-7*s + 13*s + 9*s)*(-s + 6*s - s) - 1 - s**2 + 1 + (-1 + 1 + s)*(-s + s - s).\nAnswer: 55*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 640 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgdddugkdadukkgkd. Give prob of picking 2 k and 2 g.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 308, 0.4, -5, 1\/3 in ascending order.\nAnswer: -5, 1\/3, 0.4, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = 34. Let h = d + 47. Suppose -h*o + 11 + 73 = 0. Calculate the remainder when 33 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4 - 4*r + 9 + 3*r. Let c(i) = 5*i + 44. Calculate the least common multiple of c(-8) and x(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 5*x**2 + 34*x + 120. What are the prime factors of q(-10)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10508)\/(-49913))\/((-3)\/19)*(-6)\/(-196)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -131 + 0.09.\nAnswer: -130.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33833 (base 14) to base 10\nAnswer: 125093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 17*g - 12 = -7*t, -4*g + 16 = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 4, 0.55, -14, -6?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**3 - 15 + 4*h - 8*h**3 + 15 in the form p*h**3 + o*h + c*h**2 + x and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-10)\/840)\/((-9)\/(-7))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 3*s - 13. What is q(8)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*j + 39*j - 1512. Let q = j - 123. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - faa5c?\nAnswer: -faa58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -338761, -677535, -1016309, -1355083?\n\"Answer: -338774*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 5*k + 5*f + 38, 3*k - 5*f - 26 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/11, -2\/7, -1, 11936\/3?\nAnswer: 11936\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010000 - 10100100110010011100?\nAnswer: -10100100101010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 22*o + 20. Let d be t(10). Let l(h) = -h**3 - 8*h**2 + 8*h - 3. Let s be l(-9). Let q be (-14 - -18)\/(8\/s). Sort d, 5, 4, q.\nAnswer: d, q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eierieeeieeieeeeriee. Give prob of picking 2 r and 1 i.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 11 + 17 - 28 - 8*r**2.\nAnswer: -2*r**3 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4908134 kilograms in nanograms?\nAnswer: 490813400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 759 and 1326567.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17685 by 25.\nAnswer: -3537\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*n + 42, 2*t - 33 = -2*t - n. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 17*j**2 - 19*j - 14. What is k(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5))**(4\/9)\/(z**(-4)*(z\/z**7)\/z*z) assuming z is positive.\nAnswer: z**(454\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-68)\/170 + 1494\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -182.11 + 180. Let w = -0.137 + 0.027. Let l = w - z. What is the nearest to -0.1 in -4, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5018, -4548, -4078, -3608, -3138, -2668?\nAnswer: -2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 + 2*p - 94 + 66 as c + j*p and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 18. Let r be 1 + 1 + (-6)\/4. Which is greater: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*g - g. Put -3, 0, g in descending order.\nAnswer: 0, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + n - 1. Let a(u) = 7*u**2 + 7. Let r = 94 - 93. Let i(f) = r*a(f) + 6*q(f). Calculate i(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Suppose d = 3*q - q. Let c(a) = 5*a**2 - 155 - 4*a**2 + 161. Give c(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from {s: 1, t: 1, l: 2, r: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 9*d + 8. Which is bigger: 0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3899, 3905, 3911, 3917, 3923, 3929?\nAnswer: 3935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.48 - 0.24. Let m = f - 0.14. Let i = m - 0. Which is the second biggest value? (a) i (b) -0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*p - p = 10, 0 = 2*q - 3*p - 4. Suppose 3*i = 2*o + 24, 5*i - 21 = -3*o + 19. Solve q*w - i = -0*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -11323?\nAnswer: -11313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33511930 divided by 5\nAnswer: -6702386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 18824242*l + 1034 + 359 - 18824245*l - 3 + 2*l + 3 + 0*l + 2*l + 0*l + (3*l - 7*l + 2*l)*(1 - 1 - 1) in the form g + m*l and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 5*m**2 + 3*m - 3. Let i = -12 - -25. Suppose -u + 5*x - x = i, -u - 3*x + 15 = 0. Give y(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169\/6 - 82\/3. Sort -4, o, 2 in decreasing order.\nAnswer: 2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1269\/719 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h + 3*h + 3*h**2 + 4*h**2. Let u(t) = 8*t**2 + 6*t. Let v(i) = 6*q(i) - 5*u(i). Let f(a) = 7 + 2*a - 5*a - 7. What is v(f(p))?\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -13*u**2 - 15*u + 15. Let m(a) = 8*a**2 + 9*a - 8. Let v(b) = -5*m(b) - 3*w(b). Determine v(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -0.6475 (c) -5\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**3\/3 + 128622*s**2 + 1543432*s\/3 = 0. What is s?\nAnswer: -192929, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/4 - 16\/(-7) - (-28297440)\/63 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/144)\/((-3)\/((-30)\/8))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15868949 times 0.2\nAnswer: -3173789.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178380566.\nAnswer: 2, 7, 13, 29, 33797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56759.03 in -1\/2, -0.4, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcct when four letters picked without replacement from {t: 3, k: 4, h: 6, c: 4}?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 0.2 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 13 and -3060909588.\nAnswer: -3060909575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00767 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/3))**(2\/17) assuming m is positive.\nAnswer: m**(2\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/52 + 113\/468. Let s = -1.08 - -0.08. Which is the closest to s? (a) q (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -0.4. Let z = f - 0. Let r = -1 + -2. Which is the second biggest value? (a) r (b) z (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0669 rounded to three decimal places?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7972.3567 * 0.3\nAnswer: -2391.70701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1829737 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -19\/3*p**2 + 2\/9*p**3 - 2 + 12*p. Factor n(q).\nAnswer: 2*(q - 18)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32\/(-56))\/((-2)\/7). Let v(s) = -s**2 + 8*s - 9. Let u be v(6). Solve 3*a + 5*j = 1 + 3, 2*a + u*j - f = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.2 times -196829\nAnswer: -1220339.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 726068477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 7:34 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 7\/24*p**4 + 1\/60*p**5 + 0*p + 5\/6*p**3 + 29*p**2 + 0. Suppose 2*l - 8 = -24. Determine x(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16419948 is divided by 1880.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*f**2 + 308*f**2 - 30 - 154*f**2.\nAnswer: -f**2 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2598 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 1.8, 5, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or -29501437?\nAnswer: -29501437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 14*o**2 - o - 10. Let l be f(-14). Suppose -l*u = -0*u - 8. Sort -6, u, -2 in decreasing order.\nAnswer: u, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/55)\/(4\/6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 5 in increasing order.\nAnswer: -11, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4\/7 + 4*d**3 - 12*d**2\/7 - 92*d\/7 - 8.\nAnswer: 4*(d - 2)*(d + 1)**2*(d + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.212 + 2.128. Let s = k - 1.34. Which is greater: -1\/711 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*i + 2*i. Put 3, i, 4\/5 in decreasing order.\nAnswer: i, 3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*f - 52 = -4*v - 155*f, 3*v - f = 13 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -58333, -116681, -175063, -233497, -292001, -350593?\n\"Answer: -3*d**3 + d**2 - 58330*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6798 + 6870. List the prime factors of k.\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 8. Let s = 137 - 135. Let b be (-7)\/s*(90 + -92). Let p(t) = 3. What is b*p(f) + 2*a(f)?\nAnswer: -2*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/48 - -77\/48. Which is the second smallest value? (a) -12 (b) -5 (c) 1 (d) r (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.56780396 rounded to 4 dps?\nAnswer: -1.5678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -2, 9, -1, 7, 81 in increasing order.\nAnswer: -2, -1, 1, 4, 7, 9, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 2:45 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46991.2905 minutes to weeks.\nAnswer: 4.661834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/331053 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 3 in decreasing order.\nAnswer: 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -152 (b) -33 (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a**3 - 5*a**2 + 3*a + 9. Let o be (19 + 275\/(-15))*(-5)\/2*3. Let t(u) = 6*u**3 - 7*u**2 + 4*u + 13. Calculate o*t(r) + 7*h(r).\nAnswer: -2*r**3 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -643091*y - 20*y**2 + 643091*y. Let p(u) = -30*u**2. What is n(p(j))?\nAnswer: -18000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 440935 or 441886?\nAnswer: 441886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 11*g**2 - 11*g - 2. Let q be h(8). Let b = q + -100. Suppose 2*i - i - 110 = 4*z, -370 = -4*i + b*z. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*h - 9 = 0, -27 = -3*f + 5*h - 0. Suppose -4*j + f*j = -25. Let v = j - -9. Solve 0 = -2*w + v*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 + 0*l**2 - 2*l**2)*(4*l**2 - 6*l**2 + l**2) - 1 - l**4 + 1 + (5178 - 10775 + 10276)*(2*l**4 - l + l).\nAnswer: 9355*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzyyy. What is prob of sequence zzyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccb when three letters picked without replacement from {j: 3, d: 1, c: 2, b: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98416108 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q - v - 126 = 0, 3*q - v = 372. Suppose -q = 8*x - 11*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.574 + 11.574. Let k = -15 - -9. Let g = k + 4. What is the biggest value in -0.1, 2\/7, g, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2 - 3*x + 4. Suppose 8*g - 5*g - 3 = 2*p, -5*g - 4*p + 27 = 0. What is c(g)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472110671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 5*h**6\/6 - 5*h**2\/2 + 6. Find the second derivative of s(k) wrt k.\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 1, e: 1, g: 1, l: 1}. Give prob of sequence lg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 13*j**2 + 12*j**2 - 8*j**2.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 9. Which is bigger: -2\/7 or f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 85 = 5*k, 4*k + 21*g - 31 = 16*g. Let r(y) = 4*y**2 - 5*y - 57. Let p be r(k). What is the highest common divisor of p and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -151*u + 43*u - 97*u + 1025 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/20 + 23*s**4\/12 + 11*s**3\/3 - 4*s**2 - 45*s. Calculate d(-22).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 11778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 24535*w + 147212. Give a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -6.38?\nAnswer: -1.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143991 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-5)*l*l*l**(-4\/5))\/(l*(l*l*l**(-2\/7)*l)\/l)**(-8) assuming l is positive.\nAnswer: l**(697\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1762*c - 1741*c + 3429*c + 0 in the form x*c + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*b - 29 + 99 = 0. Solve -f + 8 = 3*x + 3*f, 5*f + b = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k. Let x be b(-1). Suppose -5*i = -w - 45, -x*w + 0*w + 10 = 0. Suppose t - 10 = -t. Calculate the greatest common factor of t and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-1)\/(-14 + (-852)\/(-60))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 2, -46, -26 in increasing order.\nAnswer: -46, -26, -9, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-1))\/((q*q**(-1\/15))\/q))**(-2\/11) assuming q is positive.\nAnswer: q**(-92\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/42)\/((5\/10)\/((-623)\/(-267)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22749 + 173*p - 22749 + (-1 - 3 + 2)*(-4*p + 5*p - 2*p) - 2*p + p + 2*p to the form j*p + u and give j.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/4*h**2 - 27\/2*h + 1\/4*h**3 + 18.\nAnswer: (h - 3)*(h - 2)*(h + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 c when four letters picked without replacement from {o: 3, c: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -7. Let t = -2 + m. Let s be (-9840)\/((1 - t)\/(-125)). What is s rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/11)\/(((-481)\/39)\/(-37))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 14839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1 - 4*a + 1 + 2*a. Let l be p(-1). Let z(o) = 7*o + 3*o**2 - 4 + 10 - l*o**2. Calculate z(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, n: 3, d: 4}. Give prob of sequence dmm.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2. Let a(l) = 147029*l**2. Give o(a(h)).\nAnswer: -64852580523*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 510 - 503. Solve m*g + 18 = 13*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 1. Calculate o(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x. Let i(n) = -5*n. Let z(l) = -5*i(l) - 2*y(l). Let u(r) = 7*r + 6. Let k(t) = 6*t + 5. Let v(a) = -6*k(a) + 5*u(a). Give 11*v(c) + 2*z(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688 divided by -20?\nAnswer: 422\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 975*m + 6*m**2 - 480*m - 486*m in the form q*m + r + y*m**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243*l - 241*l - 8 = 0. Let r(t) be the first derivative of 3\/5*t**5 + 0*t + l + 0*t**3 + 0*t**4 + 2*t**2. What is the second derivative of r(w) wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*sqrt(190))\/sqrt(10) - (-1 + sqrt(171) + sqrt(209)\/sqrt(99)).\nAnswer: 1 + 14*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29967*p = -30036*p + 3174 for p.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1566 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20010.\nAnswer: 2, 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2361 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 5899842.\nAnswer: 1\/2949921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/7*(-2)\/(-4). Let p = -0.029 - -0.839. Let d = 0.9 - p. Which is bigger: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58 + 26 + 21 + s**2 + (1 - 6 + 10)*(-2*s**2 - s - 4*s + 2*s).\nAnswer: -9*s**2 - 15*s - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/3 (c) 0.044 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16247 + (-238)\/(-84) + (5\/(-1))\/(-30).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -3051.\nAnswer: -3050.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (6 + 5 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1621\/390 + -25\/6. Calculate the common denominator of -41\/10 and l.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and 0.19452.\nAnswer: -2.9178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -19*z**2 + 14*z - 14. Let d(p) = -18*p**2 + 12*p - 12. Let c(o) = -7*d(o) + 6*m(o). Let f(y) = 3*y**2. Calculate f(c(g)).\nAnswer: 432*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 750073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + i**2 + i + 1. Let z(n) = -5*n**3 - 3*n**2 - 2*n - 4. Determine -4*q(x) - z(x).\nAnswer: x**3 - x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 5\/3*s**4 + 0 + 21*s + 8\/3*s**3 - 2*s**2. Factor a(x).\nAnswer: 4*(x + 1)*(5*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 4*s - 3. Let m be v(5). Let g be ((m\/(-3))\/4)\/(2\/153). Calculate the greatest common factor of g and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132\/7 - 535\/28. Let x be 2 - ((-240)\/(-9) - 1). Let r = x + 24. Which is the third biggest value? (a) r (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 + -170.772. Let l = 3.228 - a. What is the biggest value in -1.1, l, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**5)**(1\/8)*r**(5\/4)*(r**(-1\/21)\/r)\/r assuming r is positive.\nAnswer: r**(-29\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**6*m**(-2\/9)*m)\/(m**(-2)\/m**(2\/11)))\/((m**4\/m)**(1\/5))**(-34) assuming m is positive.\nAnswer: m**(14533\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(7)*2)**2 + -5 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 - 23)*(t - 2*t - t).\nAnswer: 62*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 67 - 392a9?\nAnswer: -39242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 44327430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2699, 2720, 2755, 2810, 2891, 3004?\n\"Answer: r**3 + r**2 + 11*r + 2686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 197123239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -91, 310, 871, 1592, 2473, 3514?\nAnswer: 4715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = 42. Let l(f) = 3*f + 3. Let b be l(5). What is the highest common factor of i and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 127835*q**2\/2 + 116730*q - 1360 = 0. What is q?\nAnswer: -68\/37, 8\/691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3584 divided by -448?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 + 9*k**2 - 5*k + 56. What is r(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/50 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 12) to base 3.\nAnswer: 20110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*q**3 + 3*q**3 - 29*q + 46*q - q**3 to p*q**2 + n + l*q + v*q**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45226, -90446, -135658, -180856, -226034, -271186, -316306?\nAnswer: -361388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5930158, 5930051, 5929946, 5929843, 5929742?\n\"Answer: d**2 - 110*d + 5930267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 77142, 77118, 77100, 77094, 77106, 77142?\n\"Answer: p**3 - 3*p**2 - 22*p + 77166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-90) - (-25468)\/18 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t + 8. Let i be p(-7). Let g(o) = o**2 + 6*o - 3. Let f be g(i). Let u = f + 2. Is u at most as big as -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126075 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.0661246 milliseconds?\nAnswer: 66124.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**3 + 7*t**2 - t**2 - 5*t**2)*(-3*t**2 + 6*t**2 - 4*t**2).\nAnswer: -6*t**5 - t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -23 + 3 + (-1 - 3) + 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p. Let c be v(1). Let a = 178 - 176. Let h be (9 - 12)\/((-2)\/5 - -1). Sort c, h, a, 1.\nAnswer: h, 1, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1774033?\nAnswer: 97, 18289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/((-32)\/28))\/((-3)\/(-1644)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 51?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/11)*a\/((a**9\/a)\/a))\/(a**(-2\/7))**(41\/2))**(1\/62) assuming a is positive.\nAnswer: a**(26\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from tuddddut?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (-22 - (33 - 2 - 39))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - -1) + 62 + -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 - 8026*d**2 + 4690*d + 3 wrt d?\nAnswer: 12*d**2 - 16052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218, -229, -260, -323, -430, -593?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + 1*sqrt(2) + 1) - sqrt(22)\/(sqrt(11) - (sqrt(121)\/(-2*sqrt(11)) - sqrt(11)))*3)*4.\nAnswer: -64 + 56*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -3*i + 7, 2*i + 15 + 2 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 12*x**2 - 1. Let n(k) = 444 - 12*k**2 - 147 - 149 - 147. Give -6*f(m) - 4*n(m).\nAnswer: -24*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12013021110 + 3?\nAnswer: -12013021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-84)*(765\/2380)\/(30\/7)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126969 divided by -45.\nAnswer: 42323\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/9*(-21)\/(-28). Suppose 5*u = 2*n - 184, -4*u = 5*n - m*n - 253. What is the remainder when n is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1938089 and 12?\nAnswer: 1938101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t. Let b(p) be the third derivative of -29*p**2 - 11\/12*p**4 + 0*p + 0 + 0*p**3. Give y(b(w)).\nAnswer: -66*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -676, -649, -622, -595, -568?\n\"Answer: 27*i - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**5 - 14*a**4 + 124*a**2 - 183591*a wrt a.\nAnswer: 40*a**3 - 168*a**2 + 248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o = -31*o - q - 2601, -2*o + 5196 = -4*q. What is the greatest common divisor of o and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5 + 367*g**4\/7 + 285*g**3\/7 - 565*g**2 + 4582*g\/7 - 1272\/7 = 0 for g.\nAnswer: -4, 3\/7, 1, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5.3518, -12, 5\/4?\nAnswer: -5.3518","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - -1)\/(-5)*1. Let z(i) = -i**2 + 4*i - 3. Let v be z(4). What are the prime factors of (-260)\/(-12) + t\/v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/11 and -91\/1370?\nAnswer: 15070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-87 - -86) + 72\/(-10)*(-19)\/285*5\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - x - 14 = 10*g, 0 = 5*g + x - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 35*z**2 + 31*z - 102. Let a be t(35). Suppose 18*n = 19*n - a. Is n a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-3)\/sqrt(6) + 4.\nAnswer: -9*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*r = 16, 3*r = -5*u + 5*r + 26. Let z = 12 - u. Calculate the remainder when 22 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}