diff --git "a/data/dm_maths/full_data_1/2362_11255.jsonl" "b/data/dm_maths/full_data_1/2362_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2362_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let u = 6 + -13. Let p(w) = 3*w**3 - 7*w**2 - 8. Let v(q) = q**3 - 2*q**2 - 3. Let f(i) = u*v(i) + 2*p(i). What is the first derivative of f(h) wrt h?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22b - -257?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {o: 1, y: 19}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*((sqrt(325) - (sqrt(325) + -3)) + (-4 + sqrt(13)*-4 - sqrt(13))).\nAnswer: 6 + 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**9\/504 + s**5\/15 - 4*s**2 - 15. Let l(p) be the second derivative of x(p). What is the third derivative of l(t) wrt t?\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-670)\/25)\/((-4)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - p + 1. Let k(s) = -s**3 - 2*s**2 + 9*s - 5. Let a(q) = 3*q**3 + 5*q**2 - 17*q + 10. Let t(m) = -3*a(m) - 5*k(m). Calculate -5*b(d) - t(d).\nAnswer: -d**3 + 5*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.16 - -0.11. Let y = -18.05 - n. Let r = 17 + y. What is the closest to -0.2 in r, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 114 = 29*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -616, -25, 1610, 4811, 10100, 17999, 29030, 43715?\nAnswer: 62576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/6*0)\/2. Let c = 4\/925 - -1814\/8325. Is b > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from fssffssffsssfsfs?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by (-299)\/(-46) + (-3)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/13 (b) -0.5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5))**50*(p\/(p*p**2))**(3\/32))\/(p**(3\/2)\/(p\/(p**13*p)))**9 assuming p is positive.\nAnswer: p**(-2411\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 316347290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, a: 1, b: 1}. Give prob of sequence sss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51320 is divided by 11452.\nAnswer: 5512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12*z**3 - 4*z**2 + 2*z - 2. Let t(v) = v**3 - v**2 + v - 1. Let k(a) = c(a) - 3*t(a). Let x be k(1). Is 14 a factor of x*(4\/(-16) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 18*l**2 + 2*l - 1. Calculate z(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxuc when four letters picked without replacement from uncccnxclcccuccgnx?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 29313 + 1?\nAnswer: 29314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/3 + 2*c**3\/3 - 306*c**2 - 3726*c - 12636.\nAnswer: 2*(c - 26)*(c + 9)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to -0.387882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 334060776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-240)\/39 - (3 + -4 + -1 + -4). What is the third smallest value in -0.5, q, -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478562 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 15763*t**4 + 15731*t**4 + 2 - 2*t**2 in the form i*t**4 + n + a*t**2 + v*t**3 + x*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*i + 220459 = 180381 - 313382. Calculate the highest common factor of i and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i - 2. Let p = 17 + -26. Let g be (-6)\/(-1*p\/(-6)). Let j(s) = 1 - 6*s + 0*s - g. Give 5*h(u) - 4*j(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (265*p - 265*p + 6 - p**2)*(42 - 42 + 52*p**2) to the form b*p + m*p**4 + q*p**2 + i + w*p**3 and give q.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 30\/3871?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -193 + 207. Which is the biggest value? (a) -1\/31 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, 0, 1, -76, -16, -7, -2 in descending order.\nAnswer: 124, 1, 0, -2, -7, -16, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 419739 (base 10) to base 4\nAnswer: 1212132123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 9*z**4\/2 + 5*z**3\/3 - 3*z**2 + 3*z + 7. Suppose 5*s = 3*q + 13, 5*s - 4*q + 5 - 19 = 0. What are the prime factors of v(s)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15250\/19 + -1505912\/1881. Let h = 20\/9 - u. Which is the second biggest value? (a) -0.01 (b) h (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-24)\/(-18))\/2*-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 2349972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 7) to base 13\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1. Let i(s) = s + 2. Let a(c) = -5*h(c) + i(c). Let x be a(5). What is the highest common divisor of 22 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 335 + -321. Let f(b) = -b**3 + 6*b**2 + 6*b + 6. Let x be f(7). What is the remainder when 139 is divided by (x*o)\/((-28)\/70)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22\/765 - -4\/45. Let k = -3757 - -3754.909. Let u = k + 0.091. What is the smallest value in z, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hunhnhc. What is prob of picking 1 n and 1 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -10 (c) -10690\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 2*c**2 + 4. Let n be y(3). Let z = 40 + n. What is the greatest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -10, 2*g = 7*g + x - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - j**2 + 16. Let k(d) = -153*d + 2456. Let t be k(16). Let c(v) = v**3 + v**2 - 11. Calculate t*c(o) + 5*b(o).\nAnswer: -2*o**3 + 3*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -371 - 1903. Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (22 - 1)*210\/(-49). Is -92 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -22?\nAnswer: 1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 5. Let q be (-1)\/(495\/(-125) + 4). Let i be t(q). What is the greatest common divisor of 100 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -386.2890405 to the nearest 10.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 = 5*o + 138. Let s = -5 + o. Suppose m - 3*c = 15, 5*m + 0*c = c + s. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.49, 0.1, 13, 5, -4, 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, o: 14}. Give prob of sequence oy.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1285 + 1928. Let n = c - 438. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*t**3 + 335*t**3 + 347*t**3 - 8*t + 108*t**3 - 23*t.\nAnswer: 577*t**3 - 31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 7, r: 11}. Give prob of picking 2 a.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + (-38)\/(-6). Suppose -3*g + 3 = -r. Suppose 4*u + 3 = -3*x, 0*u + 3 = -2*u - g*x. Solve -3*a = -u*i + i + 11, -12 = -3*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 11, -3, 5 in increasing order.\nAnswer: -3, 5, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5802721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 17 - 343. Suppose 200 = 4*d - 0*d - 4*t, 0 = -d - t + z. Let f = d - 15. 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: 555104 divided by -608\nAnswer: -913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*l + 12. What is the second derivative of 3*q**2 + l*q**2 + 13*q + q wrt q?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.2. Let g = 4.95 - -0.05. Let j = 0.5 + -2.5. Which is the nearest to l? (a) -0.1 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124467060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 0)\/(6\/(-30)). Calculate the highest common divisor of 80 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 541429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 7. Suppose -b + 3*q = -2*q - 22, 3*b = -5*q + 6. Suppose b*d + 15 = -20. Give u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.4 - -48. Let b = 3.4 + x. Let k = -13.99 + b. Which is greater: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 142101225 - 2?\nAnswer: 142101223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 - -845. Let h = s + -802. What is the nearest to -1 in -10, h, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 10b?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 4:04 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 3, b: 1, o: 2, p: 9}. What is prob of sequence nc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348251 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*f**2*x**3 + 5*f**2*x - 77*f + 2*x**5 - 5*x**4 - 3*x wrt x?\nAnswer: 954*f**2*x + 40*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**(-21))*v*v**(1\/4)\/v*(v*v\/(v*v**1*v))**(-36) assuming v is positive.\nAnswer: v**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/3 - 1166*j**4\/3 - 10388*j**3\/3 - 32216*j**2\/3 - 41360*j\/3 - 18368\/3 = 0. What is j?\nAnswer: -574, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 3:28 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (9 - -3) + -14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 45*f - 2336. What is j(31)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33585851 (base 9) to base 6.\nAnswer: 1341133114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 280 = -13*z. Suppose -b + 142 - z = 0. What are the prime factors of (-10 + 12)\/(b\/260)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*h**3 - 298*h**3 - 277*h**3.\nAnswer: -644*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -21*z**3 - 238*z**2 - 17*z + 48. What is m(-11)?\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35250554 and 130220.\nAnswer: 352505540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20536 - 20447. Solve 94*r = t*r - 40 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42301*w**3 + 20698*w**3 + 21229*w**3.\nAnswer: -374*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -13*y. Let p be t(-1). Suppose 0 = 5*h + 2*j - 19, -2*h - j + p = -2*j. Let q = 6 - h. Calculate the greatest common divisor of q and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 2 - -5 - -5*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16\/9 + -77\/18. What is the third smallest value in 2, -5, 4, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 7*l**3\/2 + 31*l**2\/3 - 5*l\/6 - 1 = 0?\nAnswer: -3, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113539 - -113538.7. Let q be ((-6)\/(-4))\/(33\/4). What is the third biggest value in -3\/7, q, p?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*((1 - 1 - 1)*(-3*l + 7*l - 3*l) - 3 + 2*l + 3 + 491*l + 601*l - 319*l).\nAnswer: -1548*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191084475 + -199600541.9. Let o = p - -8516084.9000035. Let m = o + -18. What is m rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*n + 4, 2*n + 278*r - 273*r - 20 = 0. Which is bigger: 2\/3617 or n?\nAnswer: 2\/3617","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 81\/(-41) - (-6)\/3. Let u(i) = -3*i**3 - 3*i**2 + 2. Let b be u(-1). Let y be (b - 5)\/(-18 - -19). What is the biggest value in 3\/7, n, y, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -33. Let q be 5\/(-2)*t\/(-10). Suppose -4*z - 16 = -q*i, 4*i + 5*z + 7 = -0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, 5, 2\/429?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3044, -5845, -8646, -11447?\n\"Answer: -2801*j - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*n - 3*n = 7, 29 = 6*a + n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256715233*g**2 + 199922*g + 2071?\nAnswer: 513430466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 1 - 0\/3. Suppose q = 5*p + 22, -3*p = m*q - 4*p - 12. Differentiate 2 - 3 - 6 + 9*f - q wrt f.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*g - k + 26, 5*k + 30 = -5*g. Let s be g\/(-6) + (-5)\/(-3). Solve 7*y - s*y = -20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*j - 3. Suppose 192 = -j*c + 1365. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.4. Let b = -3 + 6. Suppose 1 + 5 = b*j. What is the biggest value in 4, j, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 2. Give f(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19243, 38554, 57939, 77398, 96931, 116538?\nAnswer: 136219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1045585 to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*f**2 + 310*f - 1 + 1 + 0 - 313*f - 145*f**2.\nAnswer: -86*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 + 11*j. Let i(f) = -f**2 - 3*f. Calculate 22*i(m) + 6*k(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)\/a*a\/(a\/(a\/(a\/(a*a**(-4\/7)*a)))*a)*(a\/a**(1\/3))**9)**(6\/13) assuming a is positive.\nAnswer: a**(270\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960938 is divided by 320?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 2\/11, 0.2 in ascending order.\nAnswer: 2\/11, 0.2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 4*t + 4*t - 3*t + 0*t - 2*t.\nAnswer: -t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/14 - (-4)\/14. Let v be r\/5 - 328\/(-20). Let m = v + -8. What is the smallest common multiple of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from bxkxaemmb?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-322)\/3)\/((-4)\/6)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29271\/5940 + (-4)\/(-18) and 87\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7041, 12270, 17497, 22722?\nAnswer: 27945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -13 - (-15 + 4 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 11:54 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - a**2 + 1. Let y(h) = -5*h**4 + 3*h**3 - 3*h**2 + 9*h + 3. Let o(t) = 3*m(t) - y(t). Find the second derivative of o(p) wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 490 - 226. Let m = 264.00089 - d. Round m to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1808\/1559 or -2?\nAnswer: -1808\/1559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 43, -1, -0.19, 1\/13, 2?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 288694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 7*v + 2. Let b be j(7). Suppose 2*i - b = -4*o, 0 = -4*i + 2*i - o - 7. Let f = 5 + i. Solve f = g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114671 is divided by 113?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 628427.4mm?\nAnswer: 628427400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581642194?\nAnswer: 2, 7, 1567, 26513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 0*d + 3*d - 40, 0 = i + 5*d + 10. Let c be (237\/i + (-4)\/(-20))*-2. Find the second derivative of -10*j + 47 - c - 11*j**5 wrt j.\nAnswer: -220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*w + 132 - 459, 0 = -5*s + 2*w + 552. Let q = 237 - 188. Let t = s - q. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 32280*l - 52099920.\nAnswer: -5*(l + 3228)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/10 (b) 7 (c) 3 (d) -1 (e) -0.5 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 1\/8*m**4 + 3*m**2 - 1\/360*m**6 + 0 + 0*m + 0*m**3 + 1\/30*m**5. Let b(n) be the second derivative of g(n). Determine b(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5796 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (0 + -2)*2. Let k be 225\/((-6)\/(-2)) - (w - 2). Suppose -15*d = -11*d - k. Is 18 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 76, -9, -5 in descending order.\nAnswer: 76, 3, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434437751?\nAnswer: 11, 31, 1274011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1010, 3, -6527 in decreasing order.\nAnswer: 1010, 3, -6527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -343, -782, -1397, -2188, -3155?\nAnswer: -4298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1139 or -5\/2?\nAnswer: -0.1139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqhqhhhhqhqhqww. Give prob of sequence wqqh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z**5\/5 + 93*z**4\/5 - 168*z**3\/5 - 652*z**2\/5 - 96*z\/5 = 0. Calculate z.\nAnswer: -8, -2, -2\/13, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:27 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52025164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7219 times 1.2?\nAnswer: 8662.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*r**4 - 44*a*r + 1010886*r**5 - 20*r**2 - 125839*r - 1 wrt r?\nAnswer: 24*a*r**2 + 20217720*r**3 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -116525 (base 12) to base 6.\nAnswer: -10003245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7858, 15672, 23486, 31300, 39114, 46928?\nAnswer: 54742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 17*o**2\/2 + 39*o + 81. Let d(j) = 14*j + 39. Let m(p) = -5*d(p) + 6*n(p). Differentiate m(s) with respect to s.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 8 - 2) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 26482*z - 9. Calculate w(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3 + -12*(-320)\/(-288).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 274 + -267. What is the remainder when 14 is divided by (-10)\/4*(280\/(-25))\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*v**3 + 5*v**3 - 22*v**3)*(-3 + 3 - 2)*(-597 + 597 + 10*v)*(-6 + 5 + 3 + (1 + 3 - 2)*(2 - 2 + 2)).\nAnswer: 360*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*u - 32 = 270*u. Solve 0 = -f - 3*f + u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + j + 2. Suppose -6*u + 4*u = -6. Let f be u\/(-6) + 21\/(-6). What are the prime factors of p(f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 13) to base 16\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/18*(-5 + 36\/8). Let n = 0.04 + 0.36. What is the third biggest value in r, n, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482791606?\nAnswer: 2, 11, 21945073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 0, 4*z - 2 = 2*p + 8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 81*t**2 - 2*t - 7. Let o(a) = 163*a**2 - 7*a - 15. Let v(f) = 13*b(f) - 6*o(f). Is v(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54222733667\/1560 + 34758165. Let v = g - 184\/39. Calculate the common denominator of v and 31\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5)*2 - sqrt(5)) + 2.\nAnswer: -3*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*i = 7, -4*p = -i + 5*i - 28. Calculate the common denominator of (2\/(-4))\/(4\/39) and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231907889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -11*o**3\/6 + 41*o**2\/2 - 65*o. Let w be q(3). Solve 0 = -a - 2*a - 5*h + 30, -h = a - w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2071 and -2303?\nAnswer: 476.9513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(136) - ((-1*sqrt(136) + sqrt(136))*-1 + sqrt(136)))\/(2*2*sqrt(8)))**2 + 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/(-15)*(-6400)\/15. Let w(z) = -461*z - 8. Let u be w(4). Let y = p + u. Calculate the common denominator of y and -37\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*((-12)\/(-8) + -2)\/1. Suppose -b*o = -5*w + 2152, -2*o - w - 3*w = 1398. What is o rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14729, -29486, -44209, -58898?\n\"Answer: 17*d**2 - 14808*d + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2371 = 5*v + c, -2*v + 3*v - 3*c = -487. Let u = v - -890. Suppose 5*j - 4*z = u, j + j - 3*z = 166. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -5*f**8\/336 + 27*f**7\/14 - 235*f**6\/24 + 25*f**5\/4 + 295*f**4\/6 - 130*f**3 - 839*f**2. Suppose o(b) = 0. What is b?\nAnswer: -1, 1, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 13 - 95 = 0. Let n = -1187 - -1258. Calculate the remainder when n is divided by h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*sqrt(63)*-1 - (sqrt(567) + sqrt(567) + sqrt(567) + -2*sqrt(567) - sqrt(567))\/sqrt(9))\/(sqrt(27)\/(sqrt(12)\/sqrt(4)*-5)).\nAnswer: 2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 632994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1002 + 662. Let z be (-17)\/s*10\/16. Is z at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*y - 480 = 139*y. Suppose -2*i - 2*x + 13 = -67, 4*i + x - y = 0. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -554376, -1108753, -1663130, -2217507, -2771884?\nAnswer: -3326261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -763 (base 16) in base 6?\nAnswer: -12431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 8*z - 5. What are the prime factors of x(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.72055 to 0 dps.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -2*h - 4*x, -3*h + 22 = -x + 5 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 5*x**2 + 7*x + 4. Let j be h(-3). Let d(f) = 1. Let l(k) be the second derivative of k**3\/6 + 3*k**2\/2 + 18*k. Determine j*l(m) - d(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b - 9. Let j be r(4). Suppose j*z = 20*z + 1. Is 10\/9 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89844 to the power of 1\/2, to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 8 + 2*v**3 - 1 + 7*v.\nAnswer: 2*v**3 + 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in -2\/5, 317, 1, -5\/4, -40\/9?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 94. Suppose -25 = z - 5*i, 3*z = -4*i + 13 + 7. What is the tens digit of q(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 5, 3\/7, -0.075, 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5 + 0 - 2 - p - 9*p**2 - 5. Let l be k(2). Let h = 42 + l. Calculate the remainder when 6 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-2)\/((-2)\/3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 523011161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r. Let t be g(2). Let v be t\/3 - 16\/168. Let c = -0.15 - 2.85. Sort v, 1\/4, c in decreasing order.\nAnswer: v, 1\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w - 17*w**3 + 1 + 19*w**3 + 18 - 2 + 5*w to the form h*w**3 + y*w + z*w**2 + v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, f: 1, p: 1, x: 3, j: 2, m: 5}. Give prob of sequence imx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 14*r + 166. Let y be x(-12). Suppose 10 = -4*n - 6. Put n, -5, 0, y in decreasing order.\nAnswer: 0, y, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 0*g**6 + 0*g**3 + 0*g + 1\/105*g**7 - 1\/30*g**5 + 4*g**2 + 0*g**4 + 0. Find the third derivative of l(n) wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)*2*-1)\/sqrt(12))\/(-1*sqrt(36)*6).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.54 (b) 2 (c) -5 (d) -1\/3 (e) -0.4 (f) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(((-1036)\/56)\/(-37)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250 + 258. Solve -y - 2*q - 12 = 2*y, 2*y = 4*q - m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 40?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/(-7))\/(-3)*13\/((-195)\/2).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.85 + 0.15. Let r = 9.15 + -0.15. What is the second smallest value in 0.3, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*t**3 - 363*t + 44*t**3 + 362*t to the form q + f*t + z*t**3 + i*t**2 and give z.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -24, 0, -2 in ascending order.\nAnswer: -24, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1300571\nAnswer: -1300573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -4, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-42))\/((-39)\/(-351))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (3878\/(-294) + 10\/30)\/(2\/(-56)) and 1020?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -12*r**2. Let j(f) = -f - 1. Let m(v) = 8 - 10 + 7 + 7*v. Let q(d) = 5*j(d) + m(d). What is t(q(g))?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671*t + 36368 = 9528 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111\/(-27) - (10 + -14).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzza when four letters picked without replacement from zzgaaaqa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6644\/31815 - 4\/707. Find the common denominator of 17\/60 and r.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -50*r + 271. Let w be b(5). Solve 0 = -w*c - 3*c - 48 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*d - 87 = 32*d. Suppose 3*a - 6 = 12. Calculate the remainder when d is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -37, 352, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 1. Suppose -k*l = -5*l - 67. Let p = 109 - l. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n + 3. Let x be s(3). Let y(a) = a**2 - a + 2. Let t be y(3). What is the units digit of 66\/9 - t\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2250 = 497*b - 122*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n + m = 273, -4*n - 4*m + 372 = 0. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1 - 8*r + 4 + 8*r**2 + 6 + 9*r + r**3. What are the prime factors of c(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3392533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153)*1))\/(sqrt(90)\/(sqrt(40)\/sqrt(4))).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*m + 40, l - 1 = -3*m + 2*m. What is the derivative of -x - m*x + 4 + 9*x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 5:36 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 269*y - 262*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26602196 to the power of 1\/2, to the nearest integer?\nAnswer: 5158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14412, 14416, 14420?\n\"Answer: 4*o + 14408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1120 and 4690?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 - 12. Let s = q + -14. Let p = 24.9946 - s. Round p to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -171204.19 to the nearest 100.\nAnswer: -171200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -523\/8 + 50747\/776. Let s(k) = -3*k - 3. Let h(l) = -7*l - 4. Let y(q) = -2*h(q) + 5*s(q). Let o be y(-7). Is o bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfevqhz. Give prob of sequence fv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 9 = 11*g + 528, -2*q + 4*g + 192 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**5\/20 - 7*l**4\/12 + 4*l**3\/3 - 12*l**2 + 197*l. Does 12 divide c(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 - 9*x. Let h(y) = 3*y**2 - 14*y. Let d = 38 - 46. Give d*u(f) + 5*h(f).\nAnswer: -f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -20. What is the tens digit of 2*s*(-25)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 23*h + 387. Let t be n(33). Solve -t = 5*a - 47 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 539*j**3 - 3*j**2 + 7*j - 3. Let m(k) = 543*k**3 - 2*k**2 + 6*k - 2. What is -3*m(f) + 2*y(f)?\nAnswer: -551*f**3 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -29. Let d be 1 + (-8)\/(h\/(-30)). Let l(s) = 2*s - 4. Let f be l(d). What is the highest common factor of f and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 3*i + i + 6*i**3.\nAnswer: 6*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1415, -1423, -1431?\n\"Answer: -8*m - 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-195)\/260 - (-5527)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309843, 309811, 309779, 309747, 309715?\nAnswer: 309683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.997 + 5.107. Let j = 10.89 + t. Let s = 0.3 - 0.1. Which is the closest to j? (a) s (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 5*t + 124 = 137, -3*t + 14 = -2*f. Suppose -5*y - 6 = -5*p + 4, -p + 2*y + 2 = 0. Let m = -1 - p. What is the nearest to f in m, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6527675 + 14?\nAnswer: 6527711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a - 9. Suppose 0 = 2*m + s + 2 - 9, -m - a*s + 1 = 0. What is the greatest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*90\/50*-36*(-130)\/(-78).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(735)*2)\/(sqrt(40)\/(1*sqrt(8)*-3))*-6*-5.\nAnswer: 2520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.223862103 to 4 dps.\nAnswer: -0.2239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*o**2 + 15 + 3567*o + 3570*o + 78*o**2 - 7139*o in the form v*o + g + d*o**2 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*m**4*y**3 + 19*m*y**3 + 1757*y**3 wrt m.\nAnswer: 28*m**3*y**3 + 19*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -90\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l**3 + 4*l**2 - 20*l + 4. Let m(k) = 8*k**3 - 5*k**2 + 21*k - 5. Calculate -4*m(g) - 5*u(g).\nAnswer: 3*g**3 + 16*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - ((-12)\/4 + 3). Solve 0 + 2 = 3*m - h, 2*m = o*h + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -819.2 rounded to the nearest ten?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.18 - 2.82. Which is smaller: g or 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -4. Let w(b) = -b**3 - 3*b. Let i(f) be the first derivative of f**4\/4 + f**2 - 13. Calculate a*w(p) - 4*i(p).\nAnswer: -p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rccn when four letters picked without replacement from {c: 6, r: 7, n: 1}?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 222.65 times -5\nAnswer: -1113.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 103965 and 4135895.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 115*l**3 - 105*l - 5. Let w(g) = 172*g**3 - 157*g - 7. Let v(b) = -7*s(b) + 5*w(b). Find the second derivative of v(z) wrt z.\nAnswer: 330*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 15) + -4 - (6 + -7 - 3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3950 and 61\/15800.\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 2*z - 2. What is the remainder when c(-3) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*k - 0*k. Suppose h + 2*d - 70 = -d, k*d = -20. Suppose 0*x = 2*x - h. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:17 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((-66)\/(-693)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2. Let c = -16 + 18. Let w(l) = 5*l**2 + 3*l - 3*l - 6*l**c. Calculate w(k(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(160)\/(sqrt(4)*4))\/(sqrt(40)\/(2*sqrt(5))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 12*c**2 + 15*c + 28. Let x be l(-13). Let d(t) = 5*t**3 - 4*t - 245*t**2 - 3*t**3 + 3 + 246*t**2. What is d(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 179*b**5\/20 + 1291*b**4\/24 - b**3\/6 - 3*b**2 - 23*b. Find the second derivative of h(t) wrt t.\nAnswer: 1074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.076 - 3.916. Let q = k + -1.16. Sort -3, q, -0.4 in descending order.\nAnswer: -0.4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70446.7 minutes to seconds.\nAnswer: 4226802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d*((d**1*d)\/d)\/d*d))\/(d*d**(-2\/15))*(d**0)**(-24))**(-6\/19))**(9\/8) assuming d is positive.\nAnswer: d**(387\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*y + 2 = -4, -5*u = 4*y - 11. Suppose 0 = -4*x + u*n + 27, -4*x - n + 22 = n. Is ((-4)\/x)\/(40\/(-108060)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*n = -4*g + 20, 10 = 2*g. Let i = -9\/5 + 7\/5. Is i greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - u + 3. Let v(y) = -5*y**2 + 6*y - 14. Let p(o) = -3*b(o) - v(o). Let s be p(2). Let d(j) = -j**3 + 8*j**2 - 4*j - 8. Determine d(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 744922 = 21*n - 829161 - 222446. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100818702 to the power of 1\/3, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44581 - 753594853.\nAnswer: -753550272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) 0.9 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179743.6 nanometers to meters.\nAnswer: 0.0001797436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loll when four letters picked without replacement from {l: 7, i: 1, o: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 + o**2 - 7*o - 1. Determine x(4).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*v - 285. Round v to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y**(1\/2)*y*y)**(-1\/22)*y\/(y\/y**(2\/11))*y**8 assuming y is positive.\nAnswer: y**(349\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 58*l**2. Let x be p(-58). Is x greater than or equal to -7\/312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g*j**4 + g*j**2 + 81*g*j - 412*g + 883*j**3 + 2*j wrt j?\nAnswer: -84*g*j**2 + 2*g + 5298*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -25. Let q = 69 + 84. Suppose -5*m - r = -248, 0 = w*m + 6*r - 4*r - q. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p. Let f = 25 - 23. Let z(h) = -f*h + 4*h - 3*h + 4*h. Give x(z(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -280.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62372663.\nAnswer: 167, 373489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1454323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-58 - -3) + (-1 - 1 - -5). Let q = 171 + p. Let m = q - 97. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16848 + -11593. What is the smallest common multiple of 40 and l?\nAnswer: 42040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.075 - -5.075. Which is the smallest value? (a) 2 (b) t (c) -18 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4743 + -4965.7. Let l = h - -224. Round l to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 6:11 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as -4\/129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 215.\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-64)\/(-24)*3\/4. Let h(q) = -2*q**2 - 2*q + 3. Let u(j) = j**2 + j - 2. Determine y*u(k) + 3*h(k).\nAnswer: -k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -1\/4, 58.8, 3, -2\/7, 2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/450 and -31\/24825?\nAnswer: 148950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 725*n**3 + 1583*n**2 + 81667*n + 146 wrt n?\nAnswer: 4350*n + 3166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)\/g**(-8))\/((g\/g**(-2\/11))\/g*g**(-3)))**27 assuming g is positive.\nAnswer: g**(1728\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7.03. Let y = -4.03 + n. Let p = y + 4. Which is the closest to p? (a) 5 (b) 2\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2782, 2781, 2780, 2779, 2778, 2777?\n\"Answer: -g + 2783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2310, 2312, 2314, 2316?\n\"Answer: 2*v + 2308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*w - 151*w = 75*w - 18*w + 834 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*2*((-12)\/26)\/(588\/27300*-25).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 359711809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 13375*b**2.\nAnswer: -13375*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1088486362*k**3 + 31*k + 4971038.\nAnswer: -6530918172*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 2718.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.1 (b) 0.4 (c) 0.8 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 44 + (-2 - -1). Calculate the greatest common factor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.1, -0.65, -1787?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64 + 8 - 13 - 29)*(-4*z**2 + 8*z**4 + 4*z**2 + (z + 3*z - 3*z)*(-259*z**2 + 13*z**3 + 259*z**2)) as v*z**3 + o + j*z + p*z**4 + f*z**2 and give p.\nAnswer: -2058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30*(144\/(-30) + 4)*(-24)\/9. What is the highest common divisor of 320 and b?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2484\/11*r - 2\/11*r**2 - 771282\/11.\nAnswer: -2*(r + 621)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/4 - (-13)\/52. Suppose -4*a = -y - 36, -f*a = -2*y + y - 26. Let v be ((-3)\/12)\/((-26)\/y). Which is greater: 11 or v?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -4*(-5 + -3 + sqrt(1008) + 2 - (sqrt(1008) + (2*sqrt(1008)*2 - sqrt(1008)) + sqrt(1008))*1))*4)**2.\nAnswer: 147456*sqrt(7) + 4137984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166739?\nAnswer: 166739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2806572445.\nAnswer: 5, 31, 2593, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 4, n: 15}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0156143 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 2*m**2 + 2. Let x = 9407 - 9399. What is the lowest common multiple of d(-2) and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2017, 2016, 2015, 2014, 2013?\n\"Answer: -y + 2018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/50*(-4)\/51.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2*1)\/(32 + -24). Which is the smallest value? (a) k (b) 0.3 (c) 316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-4)\/((-4)\/3). Suppose s + u = 8. Suppose -6*q - 40 = -s*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + 1111001010100000?\nAnswer: 1111001010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(45\/6)*((-48)\/(-8) + (-612)\/8).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*o - 344. Calculate the least common multiple of o and 1.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138994*x**5 + 148*x**2 - x - 10 wrt x.\nAnswer: -8339640*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, b: 7, k: 2}. What is prob of sequence bwb?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -2 + -2 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**1)\/f)\/((f*f*f*f**(-6\/17)\/f)\/f) assuming f is positive.\nAnswer: f**(-28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 + -126. Let p(k) be the second derivative of -3\/100*k**5 - 3\/5*k**l + 0 + 4*k + 1\/10*k**3 + 1\/10*k**4. Factor p(i).\nAnswer: -3*(i - 2)*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 1. Let b(o) = o. Let a(w) = -8*w - 1. Let n(r) = -a(r) - 6*b(r). Let q be n(-2). What is the units digit of m(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47145675 a multiple of 1077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g**3 - 8 + 8 + (3*g - 7*g + 2*g)*(0*g + 0*g + 2*g**2) + 2*g**3 - 11*g**3 - 4*g**3 to the form o*g**2 + n + r*g**3 + h*g and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/7)\/(n\/(n**(-11)*n))*n**(4\/15)*n\/(n*n**(3\/8)) assuming n is positive.\nAnswer: n**(-9211\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - 9. Let x = s - -20. Let n = x - 8.7. What is the closest to -0.2 in n, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 4*d + 8*b + 54, -3*b = -2*d - 47. Does 22 divide ((-1540)\/98 - d) + 710\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -2*u**3\/3 - 1. Let t(l) be the first derivative of -1 - l**2 - 1 - 2. Determine t(x(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4*(2 + -2). Let f = 939 + -731. Suppose -653 = -4*u - 5*d - 252, -2*u - 4*d + f = k. What is the remainder when u is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3111 and 26650839?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 19345*j + 200157525 - 200157525 as d + w*j and give w.\nAnswer: 19345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19160 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -4 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23830477.\nAnswer: 11, 2166407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 14) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**5\/10 + j**4\/8 + j**3\/2 - j**2\/4 - j + 4. Factor t(q).\nAnswer: -(q - 2)*(q - 1)*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/3)*w)*w\/(w**(-6)*w))**29*(w\/w**(-5))\/(w*w\/(w\/w**(-1)))*w**(3\/8)\/(w\/(w*w**(-3\/5)*w)) assuming w is positive.\nAnswer: w**(24013\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 9440.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3\/6 + 4487410*s**2 - 6041063527240*s + 72492546931360\/3.\nAnswer: -5*(s - 2692444)**2*(s - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 2, 13.\nAnswer: -3, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2701946195 + 2*t**2 + 2701946195.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 10:11 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -134*w**5 + 143*w**2 + 2*w. Let m(r) = r**5 - r. Let b(q) = -h(q) - 2*m(q). What is the third derivative of b(v) wrt v?\nAnswer: 7920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51583 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4048 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34322370 divided by 3.\nAnswer: 11440790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 0 + 2 + (7 - -2). Suppose -t + h = 2*t. Calculate the greatest common divisor of t and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 + 0.02. Let u = -0.96 + i. What is the nearest to u in -1, 5, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -285.549 + 285. Let l = 0.149 + t. Which is the second smallest value? (a) l (b) 1\/19 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**7*u)\/u**(2\/7))**48)**(1\/20))**18 assuming u is positive.\nAnswer: u**(11664\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.01 - -0.09. Let h = u - -2. Which is the closest to -1? (a) h (b) -1\/10 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12987.622765 to the nearest ten.\nAnswer: 12990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*l = -413*l + 22383. Let b = 212 - -28. Suppose o = 5*o - b. What is the lowest common multiple of o and l?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31020311 (base 4) to base 13.\nAnswer: 1b656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-22) + 20\/11. Let z be 1254\/x - (-6 + 9). What is the tens digit of z\/21 + (-4)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -14*f**2 + 88*f - 21. Let w be s(6). Solve -w*l + 9 = b, 44 = -2*b - 2*l + 46 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2364464 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 52, 0.2, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -9 (b) 3 (c) 0 (d) 1 (e) 0.3 (f) 7.4 (g) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-15))\/(1\/5). Let v be (-88)\/(-11) + -5 + 0. Put -2, 0, v, n in descending order.\nAnswer: v, n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-36)*(921 + -939).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and 76.967.\nAnswer: -17.70241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, k: 1, z: 6, w: 2, e: 3, g: 2}. What is prob of sequence wzel?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-273)\/504 + (-3)\/(-72))*1\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -239?\nAnswer: -95.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22197 or 22198?\nAnswer: 22198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 208234 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560 + -13 - 4*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 40 - 14 - 13 + 149*q in the form h + p*q and give p.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 91, 204, 363, 568, 819, 1116?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9559171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 29 = 4452*m - 4456*m, -4 = -4*a - 0*a + m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 242814546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2738 + -75?\nAnswer: -2824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*v**2 + 890*v**2 - 301*v**2 - 298*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10125, -8516, -6907, -5298?\n\"Answer: 1609*q - 11734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(4\/3)*z**(-15) assuming z is positive.\nAnswer: z**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91851 is divided by 158?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4147184 and 68.\nAnswer: 4147184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/2 (b) -0.5 (c) -2 (d) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 10. Suppose -18*d = -c*d - 7891. What are the prime factors of d?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(3\/5)*b*b*b**(-6)*b)\/(b**(-1)*b)**42 assuming b is positive.\nAnswer: b**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + n**2 - n + 2. Let d be z(-2). Suppose d*x = -4*x - 4. What is the tens digit of 1 + 2 + x - -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58951189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5273533 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 23*u + 136. Let a be y(-28). Let l(s) = -s**2 + s + 1. Calculate l(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from vuhqatht.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3169\/44 + 1601\/22. Let d = -1.5 + 0.5. Let f = d - 0. What is the closest to f in v, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 - 2*v**2 + 4*v - 3. Suppose -2*y - y + 45 = s, -2*y - 55 = -s. Calculate the remainder when s is divided by l(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21558.3 - -43?\nAnswer: 21601.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -166468855 or 2\/3?\nAnswer: -166468855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bd048 (base 14) in base 12?\nAnswer: 400574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (239 + 26*z - 239)*(-2*z + 3 - 4 + 0).\nAnswer: -52*z**2 - 26*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 33*u + 90. What is the tens digit of m(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12 + 98*q - 4 - 32*q. What are the prime factors of x(2)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -2\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 - 167. What is the remainder when 132 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-9 + -23 - -17).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + -34. Suppose -z = 2*s - 7*s. Solve -3*i + s*b + 33 = i, b + 1 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x - 5. Let o(y) = 2*y**2 - 17*y + 29. Let k be o(6). Let v be p(k). Solve -v*q - 22 = -12 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q - 36. Suppose a - 3*d - 8 = -6*d, 0 = 5*a + d - 138. Give s(a).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5 - 753*w**4 - 3831*w**3 - 2331*w**2 + 6912*w = 0. Calculate w.\nAnswer: -3, 0, 1, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**4 + 13*n**2 - 13*n**2 + (n**2 + 4*n**2 - 2*n**2)*(2 + 4*n**2 - 2).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(80)*-3 + -2 + sqrt(80) - (sqrt(80) + (sqrt(80) - (sqrt(80) + 2))**2 + -2)) + -1 + -5.\nAnswer: -12*sqrt(5) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2041 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*k = -22, 0 = -2*w - 4*k - 8 - 4. Suppose -6 = 4*l - w. Which is smaller: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -3b05?\nAnswer: -3b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40527323.\nAnswer: 19, 31, 83, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, o: 1, f: 2, v: 3, u: 4}. Give prob of picking 2 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:13 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 2*v**2 - 5*v + 1338. Does 43 divide g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -928\/3, 1, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - 2*u)*(2 - 4 + 4 + (1 + 0 + 2)*(0 + 0 - 2)) - 1 + 1 + 2*u + (4 + 0 - 3)*(-2*u + 2*u + u) + u + 3*u - 3*u - 2*u - u + u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22552 is divided by 11264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6382668.7000006 - -6382668. Let t = -15.3 + 16. Let n = t + r. What is n rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -10.8365, 2, 14\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10119929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412325?\nAnswer: 5, 16493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 2*t**2 - 3*t. Suppose -3*u + 5*i + 24 = 8*i, -3*i + 30 = 5*u. Give o(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 2*b**4 + 2*b**4)*(-5 + 5 - b) + 5*b**4 - 4*b**5 - 5*b**4 + 5*b**5 - 2*b**5 - 2*b**5 + 3*b**3 + 0*b**5 - 2*b**3 - 6*b**5.\nAnswer: -11*b**5 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 13. Let d = 5 + q. Solve -d*g + 15 = -4*i, -3*g + 15 = -5*i - 0*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 989*h**2. Let t(f) = -14*f**2. What is t(o(d))?\nAnswer: -13693694*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 1980306?\nAnswer: 1980306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 0*k**2 + 3*k**2)*(4 - 7 + 8).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (564\/40 - 14)\/(1\/(-2)). What is the smallest value in h, 1\/3, 1\/39?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29274 by 4879.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471049?\nAnswer: 41, 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - l + 4*x - 88, 112 = -3*l + x. Find the common denominator of 1016\/198 - l\/(-162) and -6\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 4069683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37549 - -48995. Is 60 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmuudweeu. Give prob of picking 1 d, 1 e, and 1 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -297 or -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(637))**2 + ((sqrt(1300) - (0 + sqrt(1300))) + sqrt(1300))**2.\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*g**2 + 104*g**2 + 23*g**3)*(-5 + 1 + 2).\nAnswer: -46*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 6*p**2 - p - 6. Suppose 48*c = 57*c - 90. Let y(v) = -v**2 + 10*v - 6. Let t be y(c). Give f(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = p - 18, 3*p + 2 + 16 = 3*u. Suppose 4*o - 3*i - u = 0, -4*o + 11*i - 9*i = -8. Suppose 0 = 3*t - 11 - 1. Solve o*d - t*d = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5168*l**4 - 318*l**2 + 23*l wrt l?\nAnswer: 124032*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**2 - 64*z + 17. Let h be g(21). Which is the fifth biggest value? (a) 1\/4 (b) 1.3 (c) -0.1 (d) -2 (e) h\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/3886 - -141845\/23316. Let a = -9564 - -191403\/20. Find the common denominator of r and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 88? (a) -1 (b) 0.07 (c) -0.1 (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from msmmssysms. What is prob of sequence mmym?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -12, -0.05, 2, 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, s: 9, q: 2, k: 1, e: 1}. Give prob of sequence sks.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - f - 494, -4*f + 2*f + 200 = 2*b. Suppose -5*r + 1 = 21. Let y be 46\/4 - (-2)\/r. What is the highest common factor of y and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22780.17 months to centuries.\nAnswer: 18.983475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81762.49 years in months?\nAnswer: 981149.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*p - 3721 = -265 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((6*-6*sqrt(304))**2 + -2 - (0 + (sqrt(475) - sqrt(475)*-2 - sqrt(475))**2)*-2).\nAnswer: 397779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -236, -364, -492?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 6144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 6)*(-7239 + 6*i**3 + 7239).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 5. Let w(c) = -28*c - 67. Let h(u) = -159*u - 400. Let i(m) = -6*h(m) + 34*w(m). What is j(i(g))?\nAnswer: -4*g**2 - 488*g - 14889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 + -19. Let o(p) = 30*p - 2. Suppose -140*b = -137*b - 9. Let h be o(b). What is the greatest common factor of h and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -321545 - m + 321545 + 3*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by 72?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v - 4*v**2 - 40*v + 0*v**2 + 97.\nAnswer: -4*v**2 - 3*v + 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-7))\/(480\/(-420))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 1\/2*w**2 - 7 + 3*w. Give l(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.5 + -7.2. Suppose -494 = -521*h + 27*h. Which is greater: v or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in -0.2, -18, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**5\/300 - g**4\/24 - 37*g**2 - 6*g. Let w(t) be the first derivative of n(t). Factor w(j).\nAnswer: -j*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, z: 4, n: 1, y: 3, b: 8}. What is prob of sequence zyzh?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3308.\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 69*o**3 + 7*o**2 - 10*o + 3. What is the units digit of x(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l + 0*l**3 + 2*l**3 + 3*l**2 + l. Let s(o) = -o**2 - o. Suppose q = -3 + 2. Let n be 126\/28*4\/(-6). Determine n*s(t) + q*c(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7b - -11?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*o = -1 - 4, -2*o - 9 = 5*h. Let g = -1\/13402 - 73701\/134020. Calculate the common denominator of 89\/43*h\/8 and g.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -89636.0566 - -89616. Let r = n + 20. What is r rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 12*j - 3. Determine v(7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 325*u + 3. Let b(v) = 1105*v + 1106*v - 3307*v + 1098*v. Give b(r(n)).\nAnswer: 650*n + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5919 + -5915. Solve -j = 18*g - 19*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -7*l**3\/3 - l**2 + 11*l + 1144. Let t(m) = m**2 + 1. What is 6*t(w) + z(w)?\nAnswer: -w**2 - 2*w + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llvwznwf. What is prob of picking 1 z, 1 n, and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 11 - 6*u)*(-9 - 2*u + 9 + (-2*u + 0*u - u)*(-2 - 3 + 6))*(4*u**2 + 5*u**2 + 0*u**2) to b*u**4 + k*u + d*u**3 + l*u**2 + a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from ccccdcccccdcccdccdc.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7448 is divided by 1479.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11293 - 11119. Calculate the greatest common factor of 638 and b.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 4. Suppose -5*t + 2*d = -d + 50, -3*d = -15. Let x = -2555 - -2597. What is the remainder when x is divided by q(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/1926 and 23\/12?\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4643362 is divided by 1547783?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 5 + d**3 + 96*d**4 - 2*d**2 - 100*d**4 + 2*d to the form j*d + w*d**4 + f + g*d**2 + c*d**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 378 at least 78927\/208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 7:05 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 1)\/(2\/(-1)). Let l(v) = -4*v - 2. Let f be l(-1). Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 87. Let w = s + -26. Let n = 29 + w. Which is the closest to n? (a) 0.4 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(704) + 3 - (sqrt(704) + 5*sqrt(704) + 4))*2 + 5)*-4)**2.\nAnswer: -7680*sqrt(11) + 1126544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-3 - -1)*1). Suppose -c = -5*l + l - 18, f = -c + 3*l + 14. Let z(g) = -5*g - 9. Let t(n) = -4*n - 8. Let b(m) = -7*t(m) + 6*z(m). Determine b(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-7 + 16))\/(-1). Solve -r = 2*a - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 6 - (-6 + 3 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -10 - 27*t - 1 - 5 + 11*t. Does 23 divide n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1426 and 496?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -657 - -656. Sort p, 2.26, 0.4 in increasing order.\nAnswer: p, 0.4, 2.26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.748*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*b + 1 = 9, -w = -3*b + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 1:56 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/17))**(-1\/51)\/(i**(-1\/17)\/(i**(-6)*i)))**39 assuming i is positive.\nAnswer: i**(-55718\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1699*h**3 - 2502*h + 33. Let z(d) = 340*d**3 - 500*d + 6. Let a(m) = 2*l(m) - 11*z(m). Find the second derivative of a(f) wrt f.\nAnswer: -2052*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 508*v**3\/3 + 166*v**2 - 2*v - 463. What is the second derivative of j(t) wrt t?\nAnswer: 1016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -605795 or -605796?\nAnswer: -605796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 24776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzzzwwwwzzwwwzzzzw. Give prob of picking 2 z and 2 w.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -38. Let f(x) = x**3 - 8*x**2 - 5*x + 24. Let n be f(9). Calculate the highest common factor of n and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -25140142?\nAnswer: 1\/12570071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/10867 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 17*d. Let o(n) = -1. Let y(a) = a + 5. Let s(m) = 5*o(m) + y(m). Let p(w) = 18*w. Let g(q) = -p(q) + 12*s(q). Give 11*g(x) + 4*h(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**5 + 384*c**4 - 752*c**3.\nAnswer: -4*c**3*(c - 94)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + -395b22?\nAnswer: -395b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/80*10\/(-30)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(0 + (2 - 1)). Suppose r = -2*q + q. Let i = 3\/7 - 19\/28. Which is the nearest to q? (a) -0.3 (b) -3\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**2 - 6*y + 12 + y**3 - 12 + 4*y**3 wrt y?\nAnswer: 30*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ookooooooookooooooo. What is prob of picking 1 k and 3 o?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 0 + 13\/30*p**6 + 0*p**5 + 19\/12*p**4 + 0*p**2 - 6*p + 0*p**3. Find the third derivative of a(z) wrt z.\nAnswer: 312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b. Let v(s) be the third derivative of s**4\/4 + 25*s**2. Give j(v(h)).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 33.092. Let q = b + -0.602. Let d = q - -0.51. Which is greater: -4\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 599276, 599411, 599546?\nAnswer: 599681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and (-13712)\/6*1335\/(-890)?\nAnswer: 3428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 23. Suppose 0 = -2*v + 98 - s. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11288*s**2 - 5790*s + 2. Let i(k) = -k**2 - 4*k - 1. Let a(v) = h(v) + 2*i(v). Find the second derivative of a(x) wrt x.\nAnswer: 22572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/340 - 336\/2856?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 3:52 PM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-7))\/((-72)\/14 - -5). Suppose 0*h - 4*h = 0. Suppose -n = 5*z - h*z. Sort z, -1, -0.2 in decreasing order.\nAnswer: -0.2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/103)\/h*h*h*h\/h**(-2\/7)*(h*h**23)**(-3) assuming h is positive.\nAnswer: h**(-50250\/721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 5)\/((-2)\/5 + (-3472)\/1120)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3639832)\/12*((-6)\/(-15) + (-931)\/490) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-42.115\nAnswer: 4.2115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/3 + 16*o**3\/3 - 308*o**2\/3 + 176*o\/3 + 1190 = 0. Calculate o.\nAnswer: -17, -3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (9 + -10 - -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1919 - 34*y**2 + y**3 - 1919.\nAnswer: y**3 - 34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.78 + -2. Let p = r + 9.22. Let q be ((-6)\/(-5))\/((-176)\/110). Which is the biggest value? (a) q (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - i - 2. Let p be t(2). Let s be (-4)\/(-10) - p\/5. Solve -4*x = l - 21, -2*x - l = -s - 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 91 + 89. Let g = 201 + h. Solve 4*t + g = q, 2*q - 22 = 4*t - 0*q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 143473 + 7902*m - 143473 in the form v*m + r and give v.\nAnswer: 7902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1394.22444 to 1 dp.\nAnswer: 1394.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -85, -2\/9, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.4 and -509.\nAnswer: 2239.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -1.8. Which is the smallest value? (a) w (b) 2\/9 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*p - 3*p + 8 = 0, 2*p = z - 1. Solve -3*k + z = -2*m, m = 5*m - k + 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -11.16. Let u = 0.09 + h. Let a = u - -0.07000028. Round a to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3612 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 11:15 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 10*s**2 + 7*s - 1. Suppose p + 45 = -5*n + 3*p, -n - 4*p - 9 = 0. Let h be a(n). Factor 3*c**2 - h + 25 - 11.\nAnswer: 3*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 51*s**3 - s**2 - s. Let b be i(1). Suppose -42*o + b*o = 48979. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywtyttyy. What is prob of picking 3 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/7, -0.148, -0.2, 5, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/68*60*(-46)\/(-2070)*2\/25\nAnswer: -4\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -4*f + 3*g, -g + 30 = 3*f - 2 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -1\/12*f**4 + 0 + 45*f - 1\/20*f**5 + 0*f**3 + 7\/2*f**2. Determine s(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41912100 rounded to the nearest one hundred thousand?\nAnswer: 41900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 - 21*v**2 + 86*v - 47. What is s(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Let q(c) = c**3 - c**2 - 5*c + 4. What is the smallest common multiple of q(3) and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/174 and 151\/126738.\nAnswer: 3675402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*i - 2366 - 642 = 1007*i for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-44)\/(-4))\/((-3)\/(-6)). Suppose 2*v = 5*f - 3*f + i, 0 = -4*f. What is the remainder when v is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - h = -3*u + 31, 5*h = -4*u + 19. Let t be 4*(-2 - (-15)\/u). Find the second derivative of 2*n**t - 3*n - 5*n + 4*n wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 25 = z. Suppose -16 - 54 = -z*p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n - 13*n - 5*n + (-n - n + 4*n)*(-2 + 2 - 1))*(-1 + 1 + 2*n**2).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3373709 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l - 1. Let y(f) = f - 1. Let v be ((-2)\/8)\/(5\/(-30)*21\/14). Determine v*r(b) + y(b).\nAnswer: 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4117 = -28*c + 3949 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12343 - 24748 = -1279*y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 39 = 66. Suppose -4*w + 5 - 1 = -4*u, -l = -3*w - 3*u. Calculate the remainder when 5 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 q when two letters picked without replacement from oouqupny?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -169c - -1c042?\nAnswer: 1a895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 174125 = c, -5*w = -3*w - 3*c - 87059. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 74*j - 3. Let v(m) = -1925*m + 77. Calculate 77*d(f) + 3*v(f).\nAnswer: -77*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 173492 * -1019\nAnswer: -176788348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 19.6 (b) 0.91 (c) 0.2 (d) -316 (e) 2 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 3:05 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989005?\nAnswer: 5, 223, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - w**3 + 3*w**3 + (5*w - 3*w - w)*(-2*w**2 + 10*w - 10*w) - w - w**3 + w.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/9 and -19\/15990.\nAnswer: 47970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*m + 12 = 0, v = -3*m - 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04095 from 9185.23.\nAnswer: 9185.27095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -0.12. What is the closest to d in 1, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 + -2 + -24 - (11 + -2 + -1)) + -47?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131\/45 - -28\/9. Which is the third smallest value? (a) s (b) -2.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -550539\nAnswer: 2\/550539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 0 - (-20 + 52)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.68197 + -150248.94.\nAnswer: -150256.62197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 214*d**2 - 2 - 4 - 5.\nAnswer: 214*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(18)*3 - (sqrt(18) + -3*sqrt(18))*-5)\/(-3*sqrt(36)\/sqrt(4) - 2*sqrt(81)).\nAnswer: 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385) + -3*sqrt(385))\/sqrt(11))\/sqrt(7) - (-3 + (sqrt(720) - (sqrt(720) + 1 + sqrt(720) + sqrt(720) - sqrt(720))))**2.\nAnswer: -736 - 98*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4 = -3*n, -6 = 4*n - 2*n + 5*d. Let g(i) = -4*i + 5*i + 7*i**n - i**2. Let x be g(-1). Solve x*w = 2*u - 0*u - 11, 2*u = -5*w - 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -36*v + 16. Let r(s) be the third derivative of -s**4\/2 + 5*s**3\/6 + 2*s**2 - 47. Give 16*r(a) - 5*x(a).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137185 + 137184. Let r(k) = k. Let m(n) = 5 - 5 - 3. Calculate j*m(d) + 4*r(d).\nAnswer: 4*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570174 = 128*o - 22*o. What are the prime factors of o?\nAnswer: 3, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -616899.\nAnswer: 2\/616899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 105158563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 7*h - 3. Let y(c) = c**3 + 7*c - 4. Suppose -115*v + 42 = -101*v. Give v*y(s) - 4*q(s).\nAnswer: -s**3 - 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11468 + 11313.54. Let l = m + 156. Round l to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 8 = -4*m, -4*g - 5*m = 48010. What is g rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39736 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4\/67 (b) -5 (c) 0 (d) 2 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -520, -30, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 10204?\nAnswer: -10204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 40*r = -29*r + 4500. Calculate the smallest common multiple of 88 and r.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 + (-4711)\/(-7) + 1 + -4 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 243*r**5\/70 + 9*r**4\/7 + 4*r**3\/21 + 35*r**2\/2 - 42*r. Let i(d) be the first derivative of x(d). Solve i(h) = 0 for h.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1428 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)*1*-3 - sqrt(6))\/sqrt(3) - (sqrt(2)*2 + 4 + (sqrt(2) - -1*sqrt(2)*-2)))**2 - (4 + ((sqrt(242)*1 + sqrt(242))*-4 + 5)**2).\nAnswer: -15451 + 920*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((50\/6)\/5)\/((-6)\/(-414)). Let h = -55 + v. Suppose -11*n + 72 + h = 0. What is the greatest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -23) + 8 + -2 - 15\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 9:02 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 5*q + 3 + 0 + 3. Let a be 1 - 2 - 9\/3. Let y be b(a). Solve -3 = -y*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 25. Suppose 4*q - p = 8. Suppose 78 = -q*a + 7*a. What is the remainder when a is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 26.0082 millilitres?\nAnswer: 0.0260082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211211211002021 - -2?\nAnswer: -1211211211002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**8\/112 + 11*b**5\/60 + 7*b**4\/6 + 3*b**2 - 16. What is the second derivative of g(h) wrt h?\nAnswer: 60*h**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x + 2. Let p be 2\/4 - (-6)\/4. Let m be s(p). Let g(z) = 21*z - 36. Let k(a) = -100*a + 171. Let i(o) = -19*g(o) - 4*k(o). What is i(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3)*13\/(39\/(-18)). Suppose g*h - 163 = 83. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77200439?\nAnswer: 19, 4063181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 2*j**2 - 4*j**2)*(-8 + 25*j - 3 - 26*j).\nAnswer: 8*j**3 + 88*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2)**(2\/17))**(1\/25)\/((n**(1\/4))**48)**(5\/2) assuming n is positive.\nAnswer: n**(-12746\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1147654 times 0.186\nAnswer: 213463.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/11))\/u**(-2))**(-2\/5) assuming u is positive.\nAnswer: u**(-68\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + k**4 + 3*k**2 + k**2 - k**2 - 2*k**4 + (-4*k**3 + 4*k**3 - 2*k**3)*(-2*k - 1 + 1) + 4*k**4 + 4*k**4 - 3*k**4.\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + 19 + -1 - (848 + -763).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4331590863?\nAnswer: 3, 1443863621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6394 = 2*q + u - 12792 + 6396, 0*u + 4*u - 15 = -5*q + 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88907633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30873, 61749, 92625, 123501, 154377, 185253?\n\"Answer: 30876*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 11*s**2 + s - 5. Give r(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*y**2 + y**3 - 62*y**2 - 6*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -6*k - 76. What is the units digit of k\/(13\/99 - 26\/117)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqgg when four letters picked without replacement from {g: 9, q: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*t + 27 = 0, 4*t = 11*r - 16*r + 34. Calculate the least common multiple of r and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6570687 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(1\/(-4)). Find f such that 5*f**2 - 5*f**c - 4*f**2 + f + 5*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(19 - 1725\/90).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/((-4)\/(-3)) + 1. Suppose 0 = z*q + 2 - 6. What is the tens digit of 1 - 9\/q*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6508 and 1367.\nAnswer: -8896436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**3 - 6*y**2 + 11*y + 3. Let r(u) = -7*u**3 + 13*u**2 - 21*u - 6. Suppose z + 1 = -2. Let n(h) = z*r(h) - 5*j(h). Let s be n(8). Is 3 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**2 - 9095*h + 875670 = 0.\nAnswer: 102, 1717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3192 = 5*q, q = -o + 1801 - 202. Which is smaller: 5\/4 or o?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*x - 12 = 3*b, -3 = x. Solve 0 = -3*u - b*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*s - 4*z, -2*z - 4 - 4 = -s. Suppose 4*h = s*h + 62. Is 31 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 111*t**2 - 24*t - 67. What is r(-3)?\nAnswer: 1004","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -189 divided by -974\nAnswer: 189\/974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 11:23 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, i: 7, f: 1, l: 6, s: 1}. Give prob of picking 1 s, 1 f, and 1 l.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-64) - 4020\/7200. Let n(x) be the third derivative of -6*x**2 + 200\/3*x**3 + 10\/3*x**4 + k*x**5 + 0*x + 0. Find z such that n(z) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(2\/(-1404))\/(((-182)\/(-14))\/(-39))?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 28. Suppose -29880012 = 3*b - 4*m, -5*b - 2*m = -z*b + 19919994. Round b to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -753.992 + 757. Let r = y + -3. What is r rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6132.\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 419*v**2 + 2461*v + 578. What is d(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.27 - 0.03. Let i = -4.4 + 4. Let m = -10301 + 10304. Put u, i, m in descending order.\nAnswer: m, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/390*12)\/(((-28)\/10)\/7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 155 - 45. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*h = -0*d + 7, -10 = 2*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34002 is divided by 133.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 48836477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*f - 11 = 106*f + 5*v, -4*f = 2*v + 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 191*i - 195*i + 2*h + 10, 2*i + 7 = -3*h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 80. Calculate the remainder when v is divided by (9 - 3) + 15 + (17 - 19).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -916\/11 or -82?\nAnswer: -916\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/406755?\nAnswer: -2\/406755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 5, 2 in descending order.\nAnswer: 5, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8998 is divided by 1005.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlcmmlplcmmmpm. What is prob of picking 2 m and 1 c?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (-16 - -2) - -51.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7981490 and 22?\nAnswer: 7981490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 130.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -420, -1055, -1954, -3123, -4568, -6295, -8310?\nAnswer: -10619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26668 and 1180?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*h**3 - 213500*h**2 + 442232*h - 32160 = 0. What is h?\nAnswer: 4\/53, 2, 1005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**6\/120 + 5*l**4\/24 + 3*l**2. What is the second derivative of v(w) wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2296470*h**4 + 3858271*h**2 wrt h.\nAnswer: -55115280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + -19 + 16 - 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2)*(z - z - z) - z + 6*z - z + (-2*z + 3*z + 0*z)*(-1 - 2 + 2) - 3*z + 2*z + 0*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**6\/30 - g**5\/2 - 29*g**4\/12 - 4*g**3\/3 + 24*g**2 - 1755*g. Factor m(w).\nAnswer: -(w - 1)*(w + 3)*(w + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.234 rounded to one dp?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 5*o**2 - o - 3. Let f be j(-5). Let x(a) = 3*a - 4. Let r be x(3). Suppose -f*t = -r*t + 42. What is the remainder when 40 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i = 4*k + 52, 0 = 3*k - 2*i + 64. Let n be 2\/(-12) + (1 - 75\/k). Suppose n*w = -w. Solve -o = -w + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*((-5*(sqrt(147) - (sqrt(147) - 1*sqrt(147)*3) - sqrt(147)) + 0)*3)**2.\nAnswer: 3307500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/5 - 1084*k + 163200 = 0. Calculate k.\nAnswer: 160, 2550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1321844 divided by -330461\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7\/5))**2 assuming i is positive.\nAnswer: i**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -726 or -728?\nAnswer: -728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42175 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 384 and 2928.\nAnswer: 23424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2 + sqrt(475))*-5)**2.\nAnswer: 500*sqrt(19) + 11975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/(j*j\/((j\/j**(1\/5)*j)\/j)*j))**8*j**(-5)\/(j**(-4)*j)*(j**0*j)**(-2) assuming j is positive.\nAnswer: j**(-188\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 - 45424*y**2 + 131420756*y - 13911976760.\nAnswer: 4*(y - 5623)**2*(y - 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 98.71036um?\nAnswer: 0.00009871036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 30*c**2 - 2*c - 326. Let f(b) = 66*b**2 - 4*b - 654. What is -4*f(h) + 9*p(h)?\nAnswer: 6*h**2 - 2*h - 318","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, 5, 22, 8\/3 in increasing order.\nAnswer: -0.3, 1, 8\/3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 2, o: 2, g: 1, e: 6, j: 5}. Give prob of picking 1 o and 1 j.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*30\/(-27))\/(((-16)\/6)\/((-160)\/20)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.11 (b) 0.1 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**5\/60 + 2*s**3\/3 + 3. Let r(h) be the third derivative of v(h). Let b(d) = -5*d. Determine b(r(y)).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/226 and 25\/15594.\nAnswer: 15594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159296 divided by 39824.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2655312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122705067?\nAnswer: 3, 40901689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1250 and 87500?\nAnswer: 87500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 514.41 + -512.41. Let r = 2.94 - -0.06. What is the nearest to -1 in r, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013460497.\nAnswer: 3, 24857537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 5) to base 9\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10111101?\nAnswer: 11000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36.684 - -36.68375457. What is o rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 - 0.23. Let n = 666\/7 + -95. Which is the smallest value? (a) n (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*l - 1904308 + 1902481 = 0 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(300)*-2)**2 + sqrt(300) + (sqrt(300)*-2 + 2)**2.\nAnswer: -270*sqrt(3) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9152379019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:01 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*i**3 + 6*i**2 - 68*i**3 + 104*i**2)*(-1 + 1 - 1).\nAnswer: i**3 - 110*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/((v\/(((v\/v**(-8))\/v)\/v))\/v))**33 assuming v is positive.\nAnswer: v**363","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-333)\/(-6) + (-4)\/(-72)*9. Calculate the highest common factor of 119 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -4\/420963681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.0088.\nAnswer: -0.0176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 276 - 277. What is the closest to 2\/3 in 1, -1\/5, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-11 + (-1)\/(-134*(-9)\/(-13230)))\nAnswer: -6\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 16*z**2 + 13*z + 26. Let o be d(15). Let u be (3\/o)\/((-23)\/184). Solve 6*q - u = -3*g + q, 4*g - 8 = -4*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50170224 to the power of 1\/2, to the nearest integer?\nAnswer: 7083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.40068 + -0.00068. What is the closest to 0.2 in 3, -20, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - 5)\/(2*2\/8). Suppose 304 = j + x, w*j - 419 - 185 = 2*x. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 61 = 208. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -560631278*n. Let o(w) = -2*w. Give o(g(q)).\nAnswer: 1121262556*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 149105 * 2.9.\nAnswer: 432404.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*l**2 - 33 - 45 + 89 - 3*l**2 + 0*l**2 + l**2 + (-4 + 4 + 2)*(2*l - l**2 - 2*l).\nAnswer: 19*l**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (56\/420 - 1453\/(-15)) + 3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*h)*(h**3 + 2 - 2) - 7*h**4 - 4*h**2 + h**2 + 4*h**2 - h**4 - 2*h**4 + h**4.\nAnswer: -11*h**4 + h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 1:36 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 590*j - 5160. What is the units digit of u(78)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 - 4 = -2*f, -16 = -4*f. Suppose 3*i = k*j + 25, 2*i + i - 3*j - 30 = 0. Solve -z - 4*s = 15, i*z - s + 3*s = 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 minus 106730759?\nAnswer: -106730801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 14*g**7\/15 + g**6\/120 + g**4\/8 + 4067*g**3\/6 - 78*g**2 + 24. Find the first derivative of h(b) wrt b.\nAnswer: 784*b**3 + 3*b**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*f - 28, -19*k + 17*k - 4*f - 8 = 0. Suppose 16 = -5*x - k, 3*s - 3*x = 312. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10743, 21242, 31741?\n\"Answer: 10499*i + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122 >= 1999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 5*j + 2*j)*(-2*j**3 + j**3 - j**3) - j**3 + j**3 - j**4 + j**4 + 8*j**4 - j**4 as a*j + k*j**4 + b + n*j**3 + d*j**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27.56 and 0.924?\nAnswer: -25.46544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1512*c = -1503*c - 22986. List the prime factors of c.\nAnswer: 2, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**7\/105 + 77*y**5\/60 + 11*y**4\/8 + y**3\/3 - 36*y**2 + 2*y. Find the second derivative of x(a) wrt a.\nAnswer: 24*a**2 + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-224)\/24) - 524\/(-14). What is the first derivative of 14*g + 2*g**3 + 5*g**3 + k + 2*g**3 - 17*g wrt g?\nAnswer: 27*g**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -98098 divided by 16953.\nAnswer: -98098\/16953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znllzlbzlzb. What is prob of picking 1 z and 2 b?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) -4 (c) 5\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30113 - -12?\nAnswer: 30125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 + 5*f - 2. Let c be w(3). Let h = 0.09 + -2.09. What is the second smallest value in -2\/19, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/14 (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30679\/3 or -89\/5?\nAnswer: 30679\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j - 28. Let n(x) = -10*x + 27. Let a(h) = 5*n(h) + 4*z(h). Let k be a(4). Let b = 114 + -54. What is the highest common divisor of b and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -755*k**4 - 1568 wrt k?\nAnswer: -3020*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 5*m - 5*m + (3 - 3 - 2)*(2*m - m - 2*m))*(8 + 16 - 4).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - ((-6 - -4) + -2). Suppose w = -33*n - 40*n - 8614. Is n less than -591\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/15)\/(2\/(-15*(-4)\/(-6)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 6*k + 810. Suppose 4*c = -2*c + k. Calculate the remainder when 3 + c\/(-2 - -3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 1910 = 3*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 6. Let b = 32 + -15. What are the prime factors of g(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 4*i + 3. Let k be s(2). Let g be k - (-1)\/2*0. Let n be g\/2*(-5 - 1). Let m(o) = -o**3 + 2*o**2 + 5*o - 3. Calculate m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 c, and 1 s when three letters picked without replacement from {v: 1, s: 1, c: 1, n: 2, o: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weww when four letters picked without replacement from {z: 3, w: 3, e: 6, t: 6, x: 2}.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, c: 2, s: 1, q: 2, r: 1, l: 1}. What is prob of sequence qq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -38228\/13 at most -2942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2. Let m(y) = -973*y - 994. What is m(k(q))?\nAnswer: -1946*q**2 - 994","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7))**(9\/2)*((i**(-2\/11)*i*i)\/i)**(-7\/4) assuming i is positive.\nAnswer: i**(-639\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3468764271 take away 2.8263?\nAnswer: -3468764273.8263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6437 + 4?\nAnswer: 6442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/9*8\/60*345\/46.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6969089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276764300?\nAnswer: 2, 5, 2767643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 2. Let n(q) = -1. Let u be 87\/29*2\/(-1). Determine u*f(p) + 14*n(p).\nAnswer: 6*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128 and -0.142653.\nAnswer: -18.259584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*k**3*u*w**2 - 27*k**3*u*w + 2*u*w**3 - 8*u*w**2 - 45*u*w - 2*u wrt w.\nAnswer: -40*k**3*u + 12*u*w - 16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:43 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315?\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.07 - 19.179. Let f = 1 - s. Is 1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d - d)*(3*d + d - 2*d) + 41*d**2 + 14*d**2 + 0*d**2 + (-4*d + 4*d - 2*d**2)*(-2 - 2 + 3) + 2*d**2 + 4 - 4 + 0*d**2 - 3*d**2 + d**2.\nAnswer: 55*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -523, -515, -499, -469, -419, -343, -235?\n\"Answer: c**3 - 2*c**2 + 7*c - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 3) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -74290 divided by 7429\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 106*i**2 + 94*i + 1388. Calculate u(107).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in six fifths of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 33762 and 33759 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42, 40, 36, 30?\n\"Answer: -c**2 + c + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -42227295?\nAnswer: 4222729.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 7*o - 10. Let x(u) = 19*u**3 + 2*u**2 - 3*u + 3. Let a be x(1). Let z be 1*6\/21 - (-162)\/a. Give d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -496211.712895 + 855554.232978. Let u = 359343 - o. Let d = -0.48 + u. Round d to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 - 61 = -17*q - 169 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 10*q**2 + 9*q - 5. Let h be p(4). Let m = h - -119. Do m and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2232 - 2232 - 24*b**3.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 42*m. Let d(f) = -7 + 43*f - 34 + 35 + 6. Give 7*d(h) - 6*r(h).\nAnswer: 49*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155275 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(36\/8 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -23\/5 (c) 3 (d) 2 (e) -12.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*((-75)\/10)\/5. What is the hundreds digit of 6\/r*(0 + -2 + 239)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.8 - -12.2. Let s = -0.772 - -0.772. Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741343169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, h: 3}. Give prob of picking 1 h and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 126962 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 96 = -47*i. Let d = -0.69 + 4.69. What is the nearest to d in 0.2, 4\/9, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -185\/4. Are -39 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 17 = 5*q, 0*z = -2*z - 4*q - 10. Let g be 9\/(-2) - z\/(-6). Let k be (-1758)\/(-10) - g\/20. Calculate the highest common factor of 16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.2, -37, 1\/38, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -21*d + 117. Let i(r) = r - 2. Let j(f) = 18*i(f) + y(f). What is the remainder when 2\/(-6)*-1*141 is divided by j(23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (289 - 277)*5\/8\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-232)\/(-261)*(-9)\/(-4))\/((-24)\/(-2)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 o when three letters picked without replacement from obogboooboboibio?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/8*(-8 + -2 + 6). Solve o - 24 = 5*p, -4*o = 10*p - q*p - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**5 - 42*q**4 + 90*q**3 - 46*q**2.\nAnswer: -2*q**2*(q - 1)**2*(q + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 390376?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8134 divided by -49\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 7. Let g be (6\/33 - 424\/(-88)) + -1. Solve 2*b + 4*c = -12, -b - g*c = -s*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 9. Let p = 53 - 63. Let y be (-25)\/(-105)*4\/p. What is the third smallest value in 0.07, y, 2\/7, u?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1098984 divided by 12.\nAnswer: 91582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/9 - -1\/36. Let y = 189 + -186. Solve s*j**y + 0*j + 0 + 1\/4*j**2 = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.48025648 rounded to three decimal places?\nAnswer: -41.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69521452 and 216601?\nAnswer: 7469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 4, 3, 0 in decreasing order.\nAnswer: 4, 3, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -23*i - 111. Give f(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330998 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12901?\nAnswer: 7, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200\/919 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.088754574 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74547.26 * 6.\nAnswer: -447283.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4870469 is divided by 90192.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1292 and 22?\nAnswer: 14212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 258342889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t + 82*t + 135*t - 29488417. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/1903 and 79\/15051?\nAnswer: 165561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzx when three letters picked without replacement from yyzyyxyyzyyyx.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.59 - 1.7. What is j rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 10:04 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.08684 - 0.08684. Let r = -25 + 33. Put 3\/4, a, r in increasing order.\nAnswer: 3\/4, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 660 (b) -1\/545 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 837804?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -82, -126, -170, -214?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1395 - -1373. Let a = -0.6 + -25.4. Let i = b - a. What is the third biggest value in 3\/4, i, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -124302?\nAnswer: -124255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5735602373 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.8 + 14.8.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 2. Let r be x(5). Solve 2*w + 2*w = -4*q + 4, r = 3*q - 5*w for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (-2 + sqrt(7)))*-2 + sqrt(28)*-3 + 3)**2.\nAnswer: 12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 275.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 minus 0.8?\nAnswer: -71.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -219509400 rounded to the nearest one hundred thousand?\nAnswer: -219500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 + -149 - (1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - -10. What is the highest common divisor of 51 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwswlwwslllwlll. What is prob of picking 3 w and 1 l?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -538\/217 - -68\/31. Which is the fourth smallest value? (a) -355\/2 (b) i (c) -0.4 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 87787 and -0.1.\nAnswer: 87786.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 19*z = -17*z - 29246, -5*i - z = -36550. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432951?\nAnswer: 13, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10882, -21758, -32632, -43504, -54374?\nAnswer: -65242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -23*j + 18*j. Suppose j*s = 69 + 1. Suppose -l - 4 + s = 0. What is the smallest common multiple of 16 and l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/24)\/(((-16)\/60)\/(-2))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.610843 or -2\/7?\nAnswer: -1.610843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 187.767 to zero decimal places.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 188a415a?\nAnswer: 188a415c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107227139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.618343 rounded to 2 dps?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - v - 12, -p - 3*v + 0*v = 10. What is the first derivative of 0*j**2 - 2 + j**3 + 0*j**p wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/14)\/((-210)\/4662). Let r = -25\/7 - z. What is the fourth smallest value in r, 14, 4, 0.1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 7:34 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*v - 20, -2*v - 8 = -4*i + 3*i. Let s(c) = c**2 - c - 6. Let q be s(v). Calculate the greatest common factor of 168 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -692?\nAnswer: -69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2692 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from kmkmmkmkwkpkk.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9510687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.5 (c) 2\/5 (d) -5 (e) 66658\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2524423883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, v: 9}. Give prob of picking 2 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2862, 2945, 3090, 3303, 3590, 3957, 4410, 4955?\nAnswer: 5598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78321\/4 + 4\/64*-4?\nAnswer: 2, 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s - 2. Let q(d) = 14*d - 3. Let a(i) = 18*i - 4. Let l(v) = -4*a(v) + 5*q(v). Let g(h) = 2*l(h) + y(h). Let k(n) = 64*n**2. Determine k(g(c)).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1615316 - 3*a - 3236246 + 1620930.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1456*d - 18924. What is x(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/1140 and 73\/2736.\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11\/(484\/(-99)))\/((-3)\/660) is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -19*y**3 - y**2 - 3. Let m(f) = -39*f**3 - f**2 - 5. Calculate -3*m(b) + 5*p(b).\nAnswer: 22*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130619232?\nAnswer: 2, 35331851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 6*l**3 - 71*l**2\/15 - 4*l\/5 - 558. Let u(n) = 0. What is n?\nAnswer: -2\/27, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3854 + -3849. Solve -3*i + 13 = -c*h - 18, i - 2 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqdudvq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**4 + 2811*w**2 + 6428*w wrt w.\nAnswer: 36*w**2 + 5622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 46617, 0, -11, 11 in increasing order.\nAnswer: -11, -3, 0, 11, 46617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 152\/(-11875)*((-1)\/14*-5)\/((-1822)\/6377)?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - ((-17124)\/1449 - -7)) + (-10)\/(-105).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 9*p**2 + 98*p + 112. What is n(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**5\/15 - 96*j**3 + 3*j**2 - 697. Factor g(a).\nAnswer: 4*(a - 12)*(a + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 9.93. Let k = 0.07 + x. Let w = -1319 + 1325. Which is the nearest to 2? (a) w (b) 3\/8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.41949 and -2313332.\nAnswer: -2313331.58051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + 5*k**3 + k - k**3. What is the least common multiple of l(1) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 5. Let g(p) = 3*p**2 + 6. Let a(f) = -5*g(f) + 6*v(f). Let s(x) = -7*x. Calculate s(a(j)).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -51. Let t = 0.2 + -0.1. Let k = -0.2 + t. Which is the nearest to k? (a) 2 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*j**4*x**3 - 29*j**4*x - 2*j**2*x**3 - 738*j**2*x wrt j?\nAnswer: -552*j*x**3 - 696*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 105905 = -5*h, 0 = 3*c + 4*h + 35316 - 98901. What are the prime factors of c?\nAnswer: 21187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, 4, -7.\nAnswer: -177, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 + 4*o + 4. Let s be p(-4). Suppose -s*b - 19 + 7 = 0. Is (b\/4)\/((-1)\/16) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.7 + 10. Let f = 15 + -18.3. Let y = k + f. What is the second smallest value in 2\/3, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*0.3\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -2\/7, 213\/4, -2 in increasing order.\nAnswer: -2, -2\/7, 45, 213\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*w - 122, h + 3*w + 2*w + 65 = 0. Suppose -3*l = -3*m - 2*m + 160, 0 = -m - 4. Let a = h - l. Solve a = -2*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71 - ((-1161)\/(-1032))\/(3\/(-72))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 11:14 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-1027)\/1185*3\/(-4)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2931\/68390)\/((-6)\/80).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - sqrt(102)*2*6 - sqrt(102))\/sqrt(6).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44585377.\nAnswer: 457, 97561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 98*h**2\/3 - 19013232*h + 2766604523616 = 0?\nAnswer: 2037132\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-1))\/(-2))\/((700\/(-11550))\/(24\/(-22)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123763*n - 8349.\nAnswer: -123763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -143*a + 107*a. Solve -24 = -i - 10*w + 6*w, 0 = -3*i - a*w + 37 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18\/11 - 39\/44. Let b = 1068.09 - 1071. Let x = b + 4.91. What is the third smallest value in 10, a, x?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58\/39? (a) -2\/13 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q. Let n = 3 + q. Suppose 5*b = -2*r + 2*b + 632, 0 = -r + n*b + 325. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 5*j + 30, 1004*q + 2*j = 1005*q + 1 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 235*a**2 + 2*a - 4. Let z(l) = -234*l**2 - 3*l + 6. What is 3*b(i) + 2*z(i)?\nAnswer: 237*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -0.021933?\nAnswer: -4.978067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5)\/k)**(-12)*((k\/(k*k**2*k))\/k*k)**40)\/((k*k\/k**(-1\/4))**29*(k**0*k*k)\/k**8) assuming k is positive.\nAnswer: k**(-3249\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14172*p**2*w*y**2 - 8*p**2*y**3 - 3*p**2*y**2 - p**2 + 640*p*w*y**3 - 12*p*y - 50 wrt w?\nAnswer: 14172*p**2*y**2 + 640*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 54. Calculate the lowest common multiple of v and 72\/3 - 1 - 1.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -31. Let g be (0 - (-5 - 5))*(-2)\/x. Solve -g*s**3 - 32\/3*s + 8*s**2 + 0 = 0 for s.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225 - 225. Solve l = -g - 2*v - 13, -4*g = -2*g + 2*v + 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 72*j - 5 - 141*j + 2*j**3 + 6*j**2 + j**3 + 7 + 75*j. Let q(f) = 6*f**3 + 13*f**2 + 13*f + 5. Calculate -6*q(d) + 13*s(d).\nAnswer: 3*d**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 23.6. Let s = -80\/123 + -2\/123. Let l = 212\/327 - -2\/109. Which is the closest to s? (a) o (b) l (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 37*n**2 + 25*n - 778. Calculate k(-38).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**2 + 5*d**2 - d**3 + (-3*d**2 - 4*d**2 + 6*d**2)*(-2*d + 1 - 1) - d**3 + 2*d**3 + 8*d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*s - 7*s + 3*d, 5 = 4*s - d. Let u = -14.24 - -0.24. Let z = u - -13.5. Which is the smallest value? (a) z (b) -1\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 922936.9 microseconds in seconds?\nAnswer: 0.9229369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((-2)\/(-3)) + 2. Let s = 7 + -3. Suppose z*y = 10, -18999990 = s*n + n + 5*y. Round n to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 2*p + 27200000. Let k be t(0). Round k to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -z + 3*z. Suppose -r + 3*r = 3*f + 88, 0 = -r - 2*f + 30. Suppose 4*v - z = 5*s, 0 = -2*v - s + r - 1. Solve 5*i + 3 = v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 28, -1\/10, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - -75 - (1 - -24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5877*b + 11750*b - 5873*b + b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*d + 10*d - 28 + 12*d - 34*d - 90 to the form y*d + m and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25721599 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a*i**3 + 17*a*i**2 + 8180*a*i - 75072*i**3 - i**2 wrt i.\nAnswer: -78*a - 450432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38 + 38 + 3*b)*(-5 + 5 + 1)*(-68*b**2 + 77*b - 77*b) - 2*b**3 - 3*b**3 + 3*b**3 to the form x*b + u*b**2 + k + w*b**3 and give w.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15*v**2 + 2*v. Let a be c(-2). Let z = -916 + 951. What is the greatest common factor of a and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 6*w + 3. Determine d(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -517 - -515. Calculate the common denominator of (-170)\/(-4743)*6\/k and 61\/30.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -467*w**2. Let j(d) = -2569*d**2. Calculate -5*j(f) + 28*o(f).\nAnswer: -231*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 - 3*s. Let b(n) = 9*n**2 - 15*n - 5. Let m be b(5). Let c(t) = 72*t + 71*t - m*t. Give k(c(f)).\nAnswer: 12*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyywywyyyddgyeeyye. What is prob of sequence dw?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:52 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10020 is divided by 4861?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 40. Let u = i + -19. Let w = u + 16. Calculate the lowest common multiple of 14 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1272537.1069467 - -0.1069467. Let h = 1272536.139943 + u. Let y = h + 0.86. What is y rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 43587\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*x + 149*x + 13756 = 0 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e930a (base 16) to base 5.\nAnswer: -1003104342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9) + sqrt(144)) - -5*((sqrt(19) + -1 + sqrt(19))*-6)**2.\nAnswer: -3599*sqrt(19)\/5 + 13860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12334, -24673, -37012, -49351?\nAnswer: -61690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 9*i**2 - i - 11. Let j be r(-9). Let o(q) = -q**2. Let c(h) = -6*h**2. Calculate j*c(x) + 11*o(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 254 + -86. Calculate the remainder when r is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/4655*-35 - (-346)\/112. Solve -3\/8*k**2 - 21\/4 + z*k = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 16.9999957. What is b rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 - 42*g**3 + 180*g**2 - 246*g + 105.\nAnswer: 3*(g - 7)*(g - 5)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009965922 rounded to six decimal places?\nAnswer: -0.009966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2172*v + 122 = -21598 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, 15, 41, 67?\n\"Answer: 26*g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2731 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3 - -2) - (-1 - 0). Calculate the remainder when 13 is divided by -10*1*(15\/(-6) + d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/6)\/((-4)\/(-9)))\/((-6)\/(-40))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4452 and 96?\nAnswer: 35616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012 minus -24?\nAnswer: 23.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**2*r**2 + 92*j**2 - 5*j + 1378*r wrt r.\nAnswer: 4*j**2*r + 1378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 212 + -210. Suppose 5*b + 17220 = w*d, 3*d - 4*b - 8845 = 16971. Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/10 - ((-32)\/(-20))\/4. Suppose 3*o + 2*o + 5*r = 0, s = 3*o - 2*r - 20. Solve -o + 1 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 - 19) - (-1 - -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 684378.2 tonnes?\nAnswer: 684378200000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886922 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*s + 3*u - 19586, 7842 = 2*s + 5*u. What are the prime factors of s?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 4 + (-78 - (-197 - -132))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -0.44?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3.2. Let z = -1.15 - -3.15. Which is the nearest to -1? (a) i (b) z (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 4. Let u = -0.32 + 0.4. Let w = u - 0.18. Which is the second biggest value? (a) w (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -6. Suppose -3*m = 4*w - 15, -f*m = -4*w - 19 - 6. Suppose -4*g + 49 + 27 = w. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328116 - -328271.883. Let b = -156 + c. Round b to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*q - 422, -4*q - 5*h + 131 = -294. Is 35 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -382617840 from -0.5.\nAnswer: 382617839.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/9 - (-4)\/(-2) and 41078\/(-50008) + (-4)\/21?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.29 - 5.71. Let d = -0.8 - 3.2. Let a = d - p. What is the third smallest value in -2, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzmgkhkgimkhhg. Give prob of sequence hgm.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 127?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 41*v - 45*v. What is the remainder when (0 - v)\/(87\/(-43) - -2) is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from abyahba.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Let p(i) = i**2 + 0*i + d*i + 0*i**2 + i. What is p(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-81)\/18)\/(1\/2). Let f(h) be the third derivative of h**5\/60 - h**4\/24 - 7*h**3\/6 + 2*h**2. Is f(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166.911 - -167. Let c = 8 - 7.88. Let z = m - c. What is z rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 1) + (-3 - (1 + -7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 1:19 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 + (30 - -22) - -39.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) -0.5 (c) -0.1 (d) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1626, -13, 53?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 993465, 993471, 993481, 993495?\nAnswer: 993513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 6. Let i(t) = -t**3 - 12*t**2 - t - 5. Let c be i(-12). Let h be q(c). Let p(r) = r + 6. Let b be p(-4). Put b, 4, h in ascending order.\nAnswer: h, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195133726 and 1549.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from rbrrnnnnnrannbbnnnnn.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2663 - 0.7337. What is the closest to 3\/5 in f, -2, 0.04, -0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y - 1. Give n(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529633 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 6*u + 4. Let r be t(-6). Suppose r*c - 56 = -0*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 - -123. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((3 - -1)\/(-4)). Suppose 0*v + p*v - 15 = 0. Find the second derivative of -6*z**3 + 2*z**3 - 2*z**v + z - 5*z wrt z.\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*t = -47505, 3*i - 3*t - 6493 = 21974. What is the thousands digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/q**(-17))))**(1\/3))**(-4\/27) assuming q is positive.\nAnswer: q**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1052, -4246, -9570, -17024, -26608, -38322, -52166?\nAnswer: -68140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-8))\/((-1)\/(-2)). Which is the closest to l? (a) 2 (b) 1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 527*d + 1072. Calculate o(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12143235 (base 6) to base 5.\nAnswer: 44340301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84899 is divided by 255.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 11 + 8 + -15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1690497 divided by 99441\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(140\/15)*(-8)\/6.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3\/1482760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 26*h + 12 + h - 5*h + 9*h + (-5 - 2 + 0)*(1 + h - 1).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182*j**3*z**3 - 98*j**3*z - 28*j**2*z**2 + 140*z**3 + 3*z**2 wrt z.\nAnswer: 1092*j**3 + 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1490, 967, 446, -73, -590, -1105?\n\"Answer: d**2 - 526*d + 2015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -28\/5423?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29781059?\nAnswer: 7, 11, 17, 22751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 6 (c) -5 (d) 5 (e) 179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 145. Let f = -55 - h. Suppose 4*q = -5*y + 594, f*y - q = -y + 589. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 123 = 9*t - 3*c, 4*c = 3*t + 176. Let b = t - -56. Let h = 3.5 - 3. What is the smallest value in h, b, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -20*r**4 + 6*r**3 + 35. Let x(l) = 21*l**4 - 7*l**3 - 36. Suppose -5*o = -19 - 11. Let d(h) = o*x(h) + 7*a(h). Differentiate d(i) with respect to i.\nAnswer: -56*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y**2 + 0*y - y - 4 + 11*y**3 - 10*y**3 + 8*y. What is c(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 6. Suppose 0 = -3*j + 22 + 8. Determine b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1 + sqrt(63) + 3)**2 - (sqrt(7) - (2*sqrt(112))**2)*5).\nAnswer: -2319 - 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 3:09 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 11. Suppose -k + 6*k = 80. Let n = 12 + -10. Let g(w) = 2*w - w + 23 - k - n*w. Give 8*g(x) - 5*y(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10000831.\nAnswer: 10000831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i, 3*h + h = -5*i + 28. Suppose -3 = -h*r + 4. Let k(y) = 3*y**2 + 4*y + 1. Let a(g) = -g**2 - g. Give r*k(q) + 4*a(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 16) in base 8?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -457.87.\nAnswer: 458.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -199 + 211. Suppose -3*l + 390 = 4*k + 86, 4*l = -3*k + 417. What is the highest common divisor of c and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23707611 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1380801 and 21?\nAnswer: 9665607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -98\/202725 and -8\/1935.\nAnswer: 8717175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 2*z**2 - 844 + 845 + 4*z**3 + 5*z**4 to v*z**3 + m*z**2 + y + q*z + r*z**4 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4 - 90*f**3 + 328*f**2 = 0 for f.\nAnswer: 0, 4, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l - 6 + 4*l**2 + 17*l - 3*l. Let q(n) = -n**3 - 8*n**2 - 6*n + 10. Let w be q(-7). What are the prime factors of t(w)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/7254 and 161\/702?\nAnswer: 21762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183 - 179. Suppose 1321 = 4*a - 2*v - 3*v, -5*v + 1311 = x*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 5*x - 4. Let y(g) = -71*g**2 - 14*g - 10. Determine -3*a(c) + y(c).\nAnswer: -68*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*s = 9, -7*q + 2*q + 12 = 4*s. Calculate the lowest common multiple of (-6)\/(-9) + (q - (-31)\/3) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d + 2*d)*(3*d - 5*d + 7*d)*(-1 - 2*d**2 + 1).\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17872.55 and -56394245.\nAnswer: -56376372.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3007 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 31*k - 388. Give d(13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - -5 - (16 - -53).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + sqrt(2736) + -1 + 1*(0 + sqrt(2736)))*1*5)**2.\nAnswer: 32400*sqrt(19) + 2464425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -o - 16, n - 4 = 12*o - 17*o. Solve 30 = -7*w + o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -4. Let h = -8.9996 + g. Round h to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 1 - 1)*(q**3 + 2*q**3 - q**3) + 2*q**4 + q**4 - 9*q**4.\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 24\/5, 6, -5 in increasing order.\nAnswer: -5, 24\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**4\/((m\/((m*m**(-1)*m)\/m*m)*m)\/(m\/((m\/m**(-1))\/m))) assuming m is positive.\nAnswer: 1\/m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (239 - 239 + 3*a**3)*(-80*a + 38*a - 23*a)*(1 + 12 + 13) to x*a + w*a**2 + v*a**3 + i + k*a**4 and give k.\nAnswer: -5070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cce when three letters picked without replacement from {u: 9, e: 1, d: 1, c: 3, g: 4}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, 3, 0.011 in decreasing order.\nAnswer: 3, 0.011, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.281 + 1.29246. Round j to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1381 divided by 73.\nAnswer: 1381\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/30)\/((-6)\/(-5)). Let g = -87.1 + 87. Put g, -2, -5, d in descending order.\nAnswer: g, d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -450 by -5.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - m**3 + 2*m**3 + 6*m**3 - m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6909648 and 39360.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*x**2 - 2*x**2 + 51*x**2 - 312 - x**3.\nAnswer: -x**3 + 101*x**2 - 312","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s**2 - 12*s - 3. Let w(y) = -3*y**2 + 6*y + 2. Let d(m) = 2*p(m) + 5*w(m). Let u be d(6). What is the units digit of 219\/4 - (-1)\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8648 + 9624. What is the highest common factor of w and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (2 - 1)*-2. Let v be (51\/(-6))\/(z\/2). Solve 0 = 2*g - r - 14, -2*g + 3*r = -g - v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 - (-12 - -23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 6 (c) 0 (d) 3 (e) -0.2 (f) 1870 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8208 = 293*b + 7119 + 5318 + 1623 for b.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, a: 1, n: 1, q: 3, s: 4, f: 7}. What is prob of picking 2 q?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqoayblo. Give prob of sequence aol.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 8. Let b be i(11). Suppose -12 = b*v - y, -2*v - y = 3*v + 12. Let c(r) = -2 - r**2 + 1 - r**2 - 4*r. Give c(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25944733.\nAnswer: 37, 701209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 - 25 + 109 - t**2 + 21*t**4 - t - 42 as l + b*t**3 + u*t**4 + x*t + d*t**2 and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 67*c**2 - 124*c - 317. What is the thousands digit of w(-57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2444 = 2*k - 2*s, 0*s - 2438 = 2*k - 5*s. Let n be ((-20)\/k)\/((-5)\/10). Let z = 47\/6120 + n. Which is greater: -0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = -5*a - 100, -5*a + 53 = 4*m. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2898097 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-150)\/(-4)) + -14 + 1712\/120. Sort 4, 0.1, b, 5 in decreasing order.\nAnswer: 5, 4, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -182, -370, -558, -746, -934?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 1. Let u(l) = 2*l + 1. Calculate -4*g(f) - 5*u(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:31 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -3*j**4\/8 + j**3\/6 - j**2. Is d(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.034524\nAnswer: -0.0138096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(77))\/sqrt(7) - sqrt(110)\/(sqrt(30)\/sqrt(3)))*4)**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171984 and 16704?\nAnswer: 59850432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*2 + 3 - sqrt(13) - (-1 + sqrt(13))*3.\nAnswer: -2*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -53844*a - 347. Is y(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(-13\/3) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296675315?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 6:44 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -18.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22 - 0.11. Let j = 4.11 - v. Let n = -4 + j. Which is the third smallest value? (a) -2\/19 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*27*26\/((-2574)\/33)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -16 - 24) + 61?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 30*t - 178. What is x(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 - -476. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1833)\/65*(7 - 2). Is u at least -142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viviivvivvivvvvviv. Give prob of sequence ivv.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2002323 + 2021?\nAnswer: -2000302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-944)\/295*5\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 37500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15277\/2 - -8127373\/1064. Find the common denominator of r and -125\/168.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27002964 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 15 - m - 100 - 27*m**4 + 28*m**4 - 11*m**2 + 3*m in the form o*m**4 + b*m**3 + q*m + y + x*m**2 and give y.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -781, -1558, -2357, -3178, -4021, -4886?\nAnswer: -5773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -5 (c) 1\/5 (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 11*g**4\/4 + 14*g + 14. Differentiate v(t) with respect to t.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -280?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 11 + 7 = 0. Let r be (-3)\/2*(-6)\/1. What is the highest common factor of b and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360f8b (base 16) to base 14.\nAnswer: 68321d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2961735 and 2415.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**5\/30 - 4*f**2 - 7. Let x(i) be the second derivative of n(i). Let k(r) = 0 + 0 - 2*r. Give k(x(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3920, -15552, -34904, -61982, -96792, -139340, -189632, -247674?\nAnswer: -313472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3882 - 3876. What is the greatest common divisor of l and 166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2246476.5 months in centuries?\nAnswer: 1872.06375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1389*w**3 - 5271*w**2 - 2512*w + 4632.\nAnswer: 8334*w - 10542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3 + 152418*k**2 + 3*k - 152418 = 0. What is k?\nAnswer: -1, 1, 50806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -21*r + 2. Let m be w(-2). Suppose 2*a - m = 6*a. Let b = a - -19. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -17028 and -170289\/10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 2*o + 3. Let s be v(2). Solve 1 = -k - s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78930 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 35*z**2 + 314*z - 13. Let n be o(-9). What is the nearest to -1 in 3, 0.5, 1\/8, n?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1253, 55, -1.\nAnswer: -1253, -1, 55","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1752902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -7*h**3 + 4*h**2 + 71*h - 73. Let l be m(1). Sort 1, l, -2, 12, 3 in decreasing order.\nAnswer: 12, 3, 1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*n + 10. Let v = 13 + -29. Let k = n - v. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/4)\/3 - 0. Let z = 2 + -7. Let x = -2 - z. Which is the second smallest value? (a) x (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 * -3.6.\nAnswer: 356.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**2 - 26*j**2 - 21*j**2 + 91*j**2 - 32*j**2.\nAnswer: -13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 2, j: 2}. Give prob of sequence jjm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 10051*i + 10025. Calculate o(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-18))\/((-1)\/57) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 + 925614*x**3 - 92576400*x**2 + 2314535000*x.\nAnswer: 2*x*(x - 50)**2*(x + 462907)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 858649, 3434651, 7728013, 13738741, 21466841, 30912319, 42075181?\nAnswer: 54955433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44, -79, -138, -221, -328, -459?\n\"Answer: -12*d**2 + d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(((-536)\/(-156))\/(-67))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795*k = -800*k + 5. Let t = -26 + 8. What are the prime factors of (k - -11)\/(-1*1\/t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -196*k**2 + 8996*k - 7940. Calculate r(45).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35507343, -35507341, -35507339, -35507337, -35507335?\n\"Answer: 2*k - 35507345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.81111 millennia to centuries.\nAnswer: 488.1111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1985.759607 rounded to the nearest ten?\nAnswer: -1990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 10*x + 13. Determine j(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*b - 164*b**2 + 17*b**5 + 165*b**2 - 242*b**3 - 4*b**4 + 242*b**3 wrt b?\nAnswer: 1020*b**2 - 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.184 - 2437\nAnswer: -2420.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4353*j**5 - 107*j**2 - 3*j wrt j.\nAnswer: -261180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, w: 1, r: 1, v: 3, b: 5}. What is prob of picking 1 i and 1 w?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7714 - 5351. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85170*h - 42560*h + 14160 = 42964*h for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 7:24 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 483 divide 39174647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*p - 675, 5*n - 800 = -p + 305. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -297909349*u + 227063101 wrt u?\nAnswer: -297909349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 4969 + 687 + 3033 to the form t + b*u and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23665?\nAnswer: 5, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 4*w**2 + 3. Let q be g(-4). Let o(t) be the first derivative of 0*t - 1 + 1\/8*t**2 + 5\/12*t**q + 1\/4*t**4. Determine s so that o(s) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16179729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/11*(-33)\/44.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*r - 5, 0 = -3*m + 3*r - 0 + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*m + 4, 3*m = 259*a - 260*a - 4. Calculate the remainder when 661 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d - 6*d + 30*d)*(5*d - d + 2*d)*(-2 - 2 + 5).\nAnswer: 114*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2337, -7, -0.3 in ascending order.\nAnswer: -7, -0.3, -0.2337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(168)*2)\/sqrt(12) + sqrt(168)\/(sqrt(24)\/sqrt(2)) + -2*sqrt(224))\/(2*(sqrt(242) + sqrt(242)*2)*4*6).\nAnswer: -sqrt(7)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*j + 988 = -74*j + 8564 + 3083 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -0.13, -5, 0.5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-15))\/((4554\/110)\/23)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497580 is divided by 311.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 12, 1, -10, -21, -32?\n\"Answer: -11*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/50765 + -5650529\/101530. Let m be (-222)\/(-9)*(-18)\/8. Let y = k - m. Which is the third smallest value? (a) -2 (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -45, -84, -149, -246?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.08, 4\/5, 6\/5, -17?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**2 + 8*z - 4. Let i be 2 + 44\/(-20) - 29\/5. Let y(u) = -5*u**2 - 7*u + 3. Let a(n) = i*y(n) - 5*s(n). Give a(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/7 (b) 25.1 (c) 10 (d) 2\/13 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-327)\/27*(-12)\/(-16) and (-1048)\/(-18)*(309\/1030 + 294\/(-880))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l = -7*g - 126, 0 = 3*g - 3*l - 643 + 637 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -90. Calculate the greatest common factor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 14*x**2 + 3*x - 17. Let r be v(-14). Let f = -63 - r. Let u = -7 - f. Which is the fourth smallest value? (a) 1\/5 (b) u (c) 0.5 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13461 is divided by 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 4.6. Let n = j - -0.7. Let m = 63.4 - 63. Put n, 1, m in ascending order.\nAnswer: m, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 15. Let p = -25 + 26. Suppose -a - 5 + p = 0. Sort u, -6, a in ascending order.\nAnswer: -6, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 - 95. Let c(y) = -y**2 + 10*y + 14. Calculate the remainder when c(z) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 h when three letters picked without replacement from cfhhfcchhhcc?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2 - 5*v**3 - 3*v**2 - 362*v + 0*v**3 + 178*v + 178*v. Let g(y) = y**2 + y. Determine -3*g(d) - i(d).\nAnswer: 5*d**3 + 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -129*p + 69*p + 945. Which is bigger: 8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v - v)*(-294945 - 2823*v - 1232*v + 294946).\nAnswer: 4055*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, -89, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 72604*r + 871364. Calculate j(-12).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.135286145 and -62.01?\nAnswer: 62.145286145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (-20 + 35) - 3 - 18?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 6 = -4. Which is the fourth smallest value? (a) u (b) -2 (c) -2\/5 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.2. Let a = m - 4. Let o = a - -1. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 3*y**2 + 5*y - 5. Let f(a) = a**3 + 2*a**2 + 6*a - 6. Give 5*f(g) - 6*l(g).\nAnswer: -g**3 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202728 divided by -6?\nAnswer: 601364\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-2)*2\/3*139346\/(-22002))\/(-5)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 27*c + 4. What are the prime factors of p(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/11, -1.1, 645594 in ascending order.\nAnswer: -1.1, -0.4, -2\/11, 645594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40700\/37*(3 + -1). Suppose -14*y + o = -3*y. What is the remainder when y is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13847, -26932, -40003, -53054, -66079, -79072?\nAnswer: -92027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 518.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28869?\nAnswer: 3, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - 17*t**2 - 8*t - 5. Let w = 1 - -3. Suppose -3*i - q - 1 = -4, 12 = -w*q. Calculate the smallest common multiple of i and u(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*g = 9, 2 = 4*a - 8*g + 3*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3379255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -25\/11366?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2006125 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 148 or 138?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6 - 13\/3. Let b = -0.2 - 0.1. Let t = 27.5 + -27. What is the smallest value in y, b, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90.24 - 89.7819. Round i to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53440596.\nAnswer: 2, 3, 11, 134951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4743627 and 73563.\nAnswer: 2373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 10*z**2 - 2*z - 17. Let d be t(-10). Let s be 3 - d\/((-21)\/(-49)). Let a(r) = r**3 + 3*r**2 - 2*r - 5. What is a(s)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98*j**2*k*m**3 - 6*j**2*k*m**2 + j**2*k*m - 2*j**2*m**2 + 43*j*k*m**4 - 2*j*m - 226*k*m**2 + k*m wrt m.\nAnswer: 588*j**2*k + 1032*j*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11692800 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 7737*k**2 + 7737*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.094 and 4?\nAnswer: -4.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 18. Let k be i\/28 + 164708\/7. Suppose -4*g + k = -f + 8334, 0 = -4*g - f + 15204. What is g rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 68 - 138 + 69. Let h(f) = f. Determine -2*h(p) + q(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 0.3 (c) 12\/79 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 11:26 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -4\/5 (b) -21 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9168 is divided by 340.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l - 31*l + 119646 = -38*l. What are the prime factors of l?\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855224 to the power of 1\/2, to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130314 divided by 6.\nAnswer: -21719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.49 + 1.87. Let y = -1.474 - k. Let m = y - -3.854. What is the nearest to 2\/5 in -2, -3, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 = 3*m + 4*b + 293, b - 1 = 0. Solve -17*c + m*c = 75 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47469, -94964, -142459, -189954?\nAnswer: -237449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782057271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -15 + 6 + 51.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/718 and -33\/16?\nAnswer: 5744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 plus -0.519?\nAnswer: -1.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*y, 0 = -5*x - 5*y - 5340 - 1405. Let i = -1342 - x. Find t such that 10\/3*t + 2*t**2 + 4\/3 - 2\/3*t**i - 2\/3*t**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b**(-1\/33))\/b)**38)**(-10) assuming b is positive.\nAnswer: b**(-12160\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 135\/(-81)*(-15 + 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exe when three letters picked without replacement from {e: 10, x: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*q = -4*q + 18760000, -3*v = -3*q - 56280000. Suppose -14*t = -21*t - v. Round t to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 4*s**2 - 4*s + 3. Let o be p(2). Suppose -v + 5*v = 24. Let m be (-16)\/v*6\/(-4). Solve -m*r + o = -5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.038, 4\/3, 15, -3, 20, -4 in increasing order.\nAnswer: -4, -3, -0.038, 4\/3, 15, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/28 + 95\/364. Let z be -2 + 9\/(-6) + 3. Let i = 13 + -12.9. Put z, i, y in decreasing order.\nAnswer: y, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 58923 (b) 1\/2 (c) 7.8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7.49, -1\/3, -10869, 1\/2 in descending order.\nAnswer: 7.49, 1\/2, -1\/3, -2, -10869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**3\/3 + k**2 - 8*k + 15. Let s be b(-6). Let o be (-1)\/(-4) - 18884\/s. What is o rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-15))\/((-77)\/33 + 3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.5 (c) -2\/3 (d) 1973\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n + n**2 + 7*n + 5*n + 6*n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11365 + -6965. What is j rounded to the nearest one hundred?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, l: 12}. What is prob of sequence rrlr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224.608 - -227. Let r = -0.402 + u. What is r rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/191533 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, o: 5, e: 1, k: 4}. What is prob of sequence kokk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78, 164, 244, 312, 362, 388?\n\"Answer: -p**3 + 3*p**2 + 84*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/(-297)*(-6)\/4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 5*b = 4 - 7, -4*b + 1 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 238*k**2 + 2*k - 2617?\nAnswer: 476*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y - y + y**2)*(-1 + 1 - 4*y).\nAnswer: -4*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 652.43 and -12.24.\nAnswer: -7985.7432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (5 - (-15 + 10 + 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1646784 divided by 51462\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 81753930 to the power of 1\/2, to the nearest integer?\nAnswer: 9042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -y + 2*n + 10, 3*y + 5*n + 3 = 0. Suppose 4*h = y*k + k - 6, k + 2 = 0. Is 1\/((h + 6)\/652) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521314147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 13*t**6\/15 - 66*t**5\/5 + 7*t**4\/6 + 44*t**3 - 20*t**2 + 836*t. Determine a, given that i(a) = 0.\nAnswer: -1, 2\/13, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -3. Let d = 18 - s. Let j = d - -9.84. What is j rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4) + (4 - 14) + (18 - 12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*l = 184*l - 3816. Let h(a) = -a**2 + 5*a + 7. Let x be h(5). Suppose x - 57 = -5*p. Calculate the lowest common multiple of l and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.6 + 6. Let y = 1.1 + x. Which is the nearest to -1? (a) 0 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -0.2 (c) -2\/9 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(17) - (-2 + (sqrt(17)*-2)**2)) + -2 - -5*((sqrt(68)\/sqrt(4))**2 + 0 + 1).\nAnswer: sqrt(17) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 584*p - 46027. Calculate u(-490).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -57*u - 195. Let v be l(23). Let s = v + 236443\/157. Which is greater: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/((a\/(a**(-1\/3)*a))\/a))\/a)**(8\/9))**46\/(a**(-1\/2)\/a**(-4)*(a*a**(-2\/3))**(3\/11)) assuming a is positive.\nAnswer: a**(62635\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1*sqrt(540) - sqrt(540))\/sqrt(9))\/sqrt(12).\nAnswer: -2*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n*t**6 + 2*n*t**4 - 30*n*t**2 - 160*t**3 - 8*t**2 wrt t.\nAnswer: 120*n*t**3 + 48*n*t - 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) -40 (c) 5 (d) -2\/9 (e) -1744 (f) -2 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + g - 3*g + 200*g**2 - 187*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + ((sqrt(57) - (sqrt(57) + (3*-1*sqrt(57) - sqrt(57))))\/sqrt(3))**2)*-6.\nAnswer: -1794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + 0.45. Let n = -0.5 + i. Let g = 6 - 3. What is the closest to n in -0.4, 1\/2, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183847*u - 11*u**3 + 367695*u - 183848*u.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -22, -24, -12, 20, 78?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 - 6. Let b(r) = 3*r + 3. Determine t(b(y)).\nAnswer: -27*y**2 - 54*y - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 12. Let n(s) = -2*s - 2 + m*s - s - 2*s. Determine n(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -337394, -1349583, -3036566, -5398343, -8434914, -12146279, -16532438?\n\"Answer: -337397*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 1\/6*a**4 - 13 - 6*a**2 - 5*a**3 + 1\/30*a**5 + 0*a. Factor k(g).\nAnswer: 2*(g - 3)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine fifths of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28759277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-406))\/((-14)\/(-98)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -7*u + 348. What is the common denominator of -97\/40 and (78\/30 - 2) + u\/(-40)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.9 - -0.33121\nAnswer: -17.56879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*(-180)\/(-810)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221 (base 3) in base 5?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -63*r**3 - 189*r**2 - 3*r - 13. Determine f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 24 = -4*g. Let u(d) = 91*d - 10. Let b be u(g). Let i = b - 199. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 23831*f + 23830*f + 51, 9 = t - f for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + s**3 + 0*s**2 + (8 - 8 - 4*s**2)*(-61*s + 33*s + 30*s + 2).\nAnswer: -7*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g. Let m be 2 + (2 + -2 - 0). Suppose 5*c - 4*z = 14, m*c - 5*c + 5*z - 2 = 0. Let a(k) = k + 3*k - c*k. What is a(u(v))?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 434\/89 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 785726 + 5580228. Let l = -3765954 + r. What is l rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 147 = r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*n**4 - 56023*n**3 - 309494*n + 7 wrt n?\nAnswer: -132*n**2 - 336138*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78.9 + 53.2. Let j = 26.009 - 0.009. Let v = r + j. What is the closest to 1 in -0.7, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(((m**1\/m)\/m)\/m)*m*m*m*m*m))**(-3\/8)*(m\/(m**(2\/3)\/m))**(-6\/19)*(m**(-9)*m\/m**(1\/17))**23 assuming m is positive.\nAnswer: m**(-473257\/2584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + h**3 - h + (10*h**2 - 28*h**2 - 22*h**2)*(-6*h + 35*h + h).\nAnswer: -1199*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556 a factor of 151906975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91.2 - 92.2. Which is smaller: -799 or w?\nAnswer: -799","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 19 = 2*j. Let n be -2*(-2)\/12 + (-245)\/525. Sort n, 0, j.\nAnswer: j, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 990687917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -14. Suppose -5*r + 3*r + a = 0. Let u = r - -27. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6102, 6104, 6106, 6108, 6110, 6112?\n\"Answer: 2*u + 6100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 191 - -2*(-3 - -4). What is the hundreds digit of d + -1 - (35\/(-7) + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbbbbyywbwyyybbwy. What is prob of sequence wyb?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/11))**(-13\/8)\/(m**(-7))**(6\/11) assuming m is positive.\nAnswer: m**(323\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1161 - -3?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 5, a: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -5\/3, -2\/3, -1, 2\/5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/11))**(-3\/23)*z**20*z\/(z**(2\/5)\/z)*z assuming z is positive.\nAnswer: z**(28559\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 27338636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122.7 + -123. Let y = -56\/3 + 386\/21. Which is the closest to 0.1? (a) i (b) -4\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1308515 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 13. Suppose -4*l + 8 = -s - 6, -5*s - 2*l = 4. Let a = 5 + s. Calculate the greatest common divisor of h and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 143. Let q(w) = -310*w + 20. Let c(l) = 15*l - 1. Let v(t) = 20*c(t) + q(t). Determine v(m(o)).\nAnswer: 10*o + 1430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -74, 145, 368, 595, 826, 1061, 1300?\n\"Answer: 2*m**2 + 213*m - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 + 1.2. Put h, 0, 2 in decreasing order.\nAnswer: 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwwwpwwfcfmww. Give prob of sequence cwfw.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3825, -3, -0.1, 0.29?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -702 + 706. Solve 3*w - 11 = -j*i - 0, 4 = 4*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/2 and ((-2)\/3414)\/((-122)\/(-17751)).\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 3\/4. Let v(c) = 3*c - 39. Let d be v(13). Let d + j*x**3 + 0*x - 1\/4*x**2 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101 - -115) + (-3 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1589 is divided by 330?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in -0.5, -24, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001696978358 to six dps.\nAnswer: 0.001697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-1 + -27))\/((-1)\/6 + 1991\/(-132))?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37d1 (base 16) to base 6.\nAnswer: 150053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4668846 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 4, 1, -1\/30106, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27693*c*k**4 - 24593*c with respect to k.\nAnswer: 110772*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2066414 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*y - 35 + 5*y**2 + 43*y + 34*y.\nAnswer: 5*(y - 1)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**5\/20 + 313*v**4\/4 + 2*v**2 - 359. Factor m(n).\nAnswer: -3*n*(n - 626)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000078126232 to 7 dps.\nAnswer: 0.0000781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**3 + 2*l**2 + 4*l + 6. Let s(v) = -v**2 - v - 1. Calculate q(o) + 4*s(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 1061177?\nAnswer: -10\/1061177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-44)\/(-6) - 1\/(-3). Let a(v) = 3*v**2 + 26*v - 12. Let y be a(j). Sort -5, -2, y, 4.\nAnswer: -5, y, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(221702\/36959 + -6)?\nAnswer: 2, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*g = -4, -3 = 5*a - 4*g - 7. Suppose a*s + 3*s - 39 = 0. Let m = 18 - 11. Calculate the remainder when s is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 5\/14 (c) 0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-40) + 1\/5. Which is the nearest to 2? (a) -2 (b) -23 (c) w (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.14 - -1.8. Let h = 0.14 + z. Let k = -28.97 - -29.11. What is the closest to -2\/7 in h, k, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*v**3\/3 - 701912*v**2\/9 - 1466344304*v\/9 - 139645472\/9.\nAnswer: -4*(v + 4178)**2*(21*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*s - 3932, 13*h - 1566 = 11*h + 5*s. Calculate the lowest common multiple of 1 and h.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -406.\nAnswer: 40.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwmfffmnzzmgwm. Give prob of picking 2 m and 1 f.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**2 + 3823*n - 510.\nAnswer: (n + 255)*(15*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t**3 - 179*t**2 - 72*t + 18 wrt t?\nAnswer: 24*t - 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 7, 7, 11, 19?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4*v = 1920352, -5*o - 4*v = -5*v - 2400464. Let i = -1630092 + o. What is i rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -12*z**2 - 2\/15*z**5 - 1\/6*z**3 + 0*z - 1\/360*z**6 - 8\/3*z**4 + 0. Let d(t) be the first derivative of r(t). Factor d(s).\nAnswer: -(s + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stnbknee. Give prob of sequence tkes.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-533)\/((-563381)\/(-906))*224\/(-3)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -7. Suppose -h - 3*m + 12 = -0*m, -2*h = 4*m - 26. Let b be ((-5)\/h)\/(15\/(-9)). Sort -1\/5, b, d in descending order.\nAnswer: b, -1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 32 = -n. Let k be n\/(-12)*(-3)\/(-2). Is (-2 - k) + 37 + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (-31)\/(341\/(-1221)). Which is bigger: -150 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 + 2*a**2 + a. Let m be o(-1). Suppose -l = -2 - 1. Let z(s) = -5*s - 1. Let r(q) = q + 1. Let t(u) = l*r(u) + z(u). Determine t(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4557 and 3293192.\nAnswer: 9879576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (195\/156)\/(2\/32). Suppose 176 = 2*d - 184. Calculate the greatest common factor of z and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -298449701 divided by 19?\nAnswer: -15707879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = w + 4*o - 57, w - 2*o = 19. Let s = 3075 - 3004. What is the remainder when s is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 217866 in ascending order.\nAnswer: 4, 7, 217866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/144 + f**5\/6 - f**2 - 29*f. Determine t so that y(t) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*f + 74*f = 8558 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:46 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 w when four letters picked without replacement from {b: 4, n: 1, u: 1, w: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -13*d - 12. Give q(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1 = -3*f, 5*a + 4 = 4*f + a. Let x = f - -17. Suppose i + 5*r - 12 + 5 = 0, 0 = -4*i + 3*r + 51. What is the smallest common multiple of i and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-28)\/((w\/(w\/(((w\/(w\/w**(-32)))\/w)\/w)))\/w) assuming w is positive.\nAnswer: w**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 - 3*v**2 + 1. Let b(y) = y**2 + y + 1. Let f be b(-1). Let o(r) be the first derivative of r**4\/4 + r**3\/3 + r + 5179. What is f*o(x) + l(x)?\nAnswer: -x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.03, -0.1, -205, -1\/4.\nAnswer: -205, -1\/4, -0.1, 1.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l + 279*l**3 + 268*l**3 - 551*l**3 + 148*l.\nAnswer: -4*l**3 + 132*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18040976801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7956 + -7956.01786. What is m rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 2\/3 (b) -0.02 (c) -1 (d) -1597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 2*a**2 - 7*a + 4*a in the form k*a + q + f*a**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 44*r**2. Determine j(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 3, -2, 1.5, -2\/2935, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 9*t**2 - 10*t - 10. Let c be z(8). Let k(a) = a**3 + 25*a**2 - 28*a - 14. What is the remainder when 302 is divided by k(c)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 j when four letters picked without replacement from cjjcljcjcjc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*b**3*g**3 + 5*b**3*x + 7*b**2*g**2*x - 10*b*g*x + 2*g**3*x wrt b?\nAnswer: 54*g**3 + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b + 15 = 3*s, 43 = 5*b - s. Suppose -3*k = -b*k. Suppose -2*u - 3*u + 45 = k. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 + -6. Suppose -y + o = -0*y. What is the remainder when y is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12215 - -12209. Which is the nearest to 0? (a) 2\/7 (b) q (c) -87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.5 (b) -3\/4 (c) -1 (d) -1.2 (e) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m + 2*m - 19 + 2*m + 3*m. What is the smallest common multiple of j(14) and 11?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -0.1329.\nAnswer: -0.7974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6139505.\nAnswer: 5, 23, 197, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13423020 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 27*q**2 - 15. Let l(n) = 31*n**2 - 4*n + 16. Let d(o) = -8*o**2 + o - 4. Let h(k) = -4*d(k) - l(k). What is h(j(u))?\nAnswer: 729*u**4 - 810*u**2 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33540 or -33538?\nAnswer: -33538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/117 + 2204\/1131?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m. Let d be v(-2). Suppose 0 = -4*u + d + 32. Factor 0*b**4 + 20*b**2 - 2*b**3 + 2*b**4 - u*b**2 - 13*b**2.\nAnswer: 2*b**2*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4, 2*d - 3*d = m + 3. Is m less than or equal to 1\/1730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -605.\nAnswer: 13\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a + 7*a**4 + 7*a - 2*a**2 - 6*a**4 - 36*a**3 + 0*a**3 to the form d*a + w*a**2 + s*a**3 + h*a**4 + k and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + (-27 - (-20 - 34)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 159960 = -2*g, 635*g - 159985 = -5*s + 638*g. What are the prime factors of s?\nAnswer: 2, 17, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**3 - 7*i**3 + 17*i**3 + 7*i**3 - 8*i**3 + 9.\nAnswer: 4*i**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f + f + 2*f + 9 - 3. Is c(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -u + 29, -2*v + 51 = 2*u + 11. Let t = u + -17. Let d(r) = r**2 - 5*r + 3. Calculate d(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/4, 4, -1.2, -96.9 in increasing order.\nAnswer: -96.9, -1.2, -0.1, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + t**2 + 11*t - 51. Let k be u(4). Let n be k\/3 + 13\/(273\/(-28)). Solve n*x - 1 = 22*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 5*m = 0, -1623 = 3*i - 28*m - 1582 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2176000 = -2*x. Round x to the nearest ten thousand.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 10\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiijjcicigicc. What is prob of sequence jjg?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011632041 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6309*c**2 + 7753*c?\nAnswer: 12618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + w = -0*w - 2, -3*w - 6 = 0. Let c be 3 - (-3)\/(-12)*4. Which is smaller: c or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -53.2.\nAnswer: -53.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.3, -149411, -5?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**6\/120 - u**5\/20 - u**4\/8 + 5*u**3\/3 - 13*u. Let f(q) be the second derivative of a(q). Find z, given that f(z) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*j - 3852 = 0, 5*j - 1601 = -5*u + 17629. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/91*63\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1749706341 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a. Let i(k) be the first derivative of 5*k**3\/3 - 3*k**2\/2 + 5. What is the lowest common multiple of z(2) and i(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.01538 - 0.01538. Let j = 154 - 773\/5. What is the nearest to 0 in -6, 0.4, o, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-5)*15\/6*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 225020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -10. Suppose -49 = -o*l - 4*n - 7, n - 69 = -5*l. What is the greatest common divisor of l and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 - 33995228*z\/11 + 101985666\/11.\nAnswer: 2*(z - 16997611)*(z - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9475.986 nanometers in micrometers?\nAnswer: 9.475986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007392 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 94531, 94548, 94567, 94588, 94611?\n\"Answer: s**2 + 14*s + 94516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96400 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*b - 9*b = -19*b. Which is greater: b or -51?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**3 + 18*m**2 - 25*m + 111. Give d(-8).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1893826 is divided by 89.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10222021121 (base 3) in base 16?\nAnswer: -13180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2072 rounded to 1 decimal place?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*v + 6 = 197*v. Let y = 0.6 + -1. Sort v, 4, y in descending order.\nAnswer: 4, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d**2*f*p**2 + 4*d**2*f + 2*d**2*p**2 + 28*d**2 - 9*d*f*p - 14*p**2 wrt f?\nAnswer: -5*d**2*p**2 + 4*d**2 - 9*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18955 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + (1*sqrt(567) - sqrt(567)) + sqrt(567))*6 + sqrt(567) + sqrt(567))**2.\nAnswer: 111132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 6:34 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + x - 21 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127452 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -2*u - 2, -271*u + 266*u + 50 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.2, 1, 2.13, -5, 0.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 6*d + 4. Suppose 3*m = 2*q + d, -2*q - 11 - 1 = -5*m. Solve i + q = -1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 16*o**2 - 30*o + 63. Let v be u(14). Let w = 12 + 16. What is the highest common divisor of v and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 124*p + 1029. What is r(-8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 60*s - 20. Suppose -18*i = -20*i + 8. What are the prime factors of x(i)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 340.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1600 = 32*h - 2976. What is the least common multiple of 338 and h?\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/302 + -609\/1510. What is the second biggest value in -1, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 16544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2210\/7 + 316. What is the nearest to -8 in d, -4\/5, -0.2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 733513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 42\/19835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {p: 1, h: 2, s: 2, m: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r**3 - 10 + 10.\nAnswer: -26*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -5450, -8 in decreasing order.\nAnswer: 0, -4, -8, -5450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80784 and 616?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.56 and 4.1771?\nAnswer: 2.339176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u - 133*u + 10*u - 2218 = 442 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 6*l + 2. Let n(c) = 2*c**2 - 6*c + 2. Let p(m) = 2*n(m) - 3*x(m). Suppose 6*w = -14*w - 100. Determine p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27321749 greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-17)\/i)\/i*i**(-1\/15)*i)\/(i**(-5\/7)\/(i\/((i\/i**(-1\/3))\/i))) assuming i is positive.\nAnswer: i**(-584\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.88\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30059 + 30060. Which is the smallest value? (a) m (b) -1 (c) -36 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4251\/7085)\/((-2)\/(-100))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/6 + 308515*y\/3 + 617029\/6 = 0. Calculate y.\nAnswer: -617029, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171106.8 millennia to decades.\nAnswer: 17110680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -30864000 to the nearest 100000.\nAnswer: -30900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2621*h + 209712. Give m(80).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1777 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 0 + 0)*(27 - 3688 + 837 - 1466 - 1622)*(-9*q**4 + 6*q**4 + 0*q**4).\nAnswer: -35472*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 19 + 9. Let u = -12 - d. Let g(j) = 2*j + 2. Give g(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 4\/(-6)*53. Is 39 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74567571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 29. Let g = 25 - 23. Suppose 4 + j = g*t. What is the remainder when t is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -1377.05979.\nAnswer: -1376.75979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 4 + (-2 + 2 + 2)*(-4 - 2 + 4))*(1103*n - 322*n - 5062*n) in the form d*n + l and give d.\nAnswer: 25686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -176230*(-24)\/90 - (-5)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -675, -1551, -2787, -4389?\nAnswer: -6363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 323 + -321.8. Let i = -2.8 - h. What is the biggest value in -1, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h\/((h**(2\/7)\/h)\/h))\/h))\/h*h*(((h**0*h)\/h)\/h)\/h*h\/(((h**4\/h)\/h)\/h)*h*h**2*((h\/(h**(-1\/3)\/h))**21)**(2\/35) assuming h is positive.\nAnswer: h**(73\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27314 (base 9) in base 4?\nAnswer: 10200301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 106\/4 + -7*16\/224?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21321 * 0.24\nAnswer: 5117.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -837*l**4\/2 - 2595*l + 4480. What is the derivative of f(s) wrt s?\nAnswer: -5022*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8158294 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -31123 (base 5) to base 9\nAnswer: -2714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18079 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 - -a7?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from jrrorrwju.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/30 and 49\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2\/3)\/i))\/(i**(-3\/4)\/i*i) assuming i is positive.\nAnswer: i**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141\/28 - 81\/14. What is the nearest to -2\/7 in -0.5, b, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 2. Let u = 599 + -607. Let j(l) = -9*l + 6. Calculate u*b(q) + 3*j(q).\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + 0. Let u = -0.3 + 0.3. What is the nearest to o in 2, -2\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*k + 20, -2*v = -0*v - 3*k - 43. Let j = v - 27. Put j, 8, -2 in ascending order.\nAnswer: -2, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54890, 114804, 174718, 234632, 294546, 354460?\nAnswer: 414374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -23. Put -4, z, 0 in descending order.\nAnswer: 0, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 12) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -99 and -11.949.\nAnswer: -110.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**4\/2 - t**3\/6 + t**2\/2 + t - 15. Determine d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 979, 4027, 9107, 16219, 25363?\n\"Answer: 1016*q**2 - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1*-1)\/((-24)\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033783 divided by -16?\nAnswer: -2033783\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. What is the biggest value in -4, d, 1, -0.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.8, -1\/4, -4\/5, 1, -245?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29645\/1769 + 476\/29. Find the common denominator of (7\/(-3))\/(-10 - (-1520)\/150) and a.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 34 - 7 = 0. Let h be 2\/4 - y\/6. What is the second derivative of -9*g**h - 2*g - 5*g - 5*g**4 + 9*g**2 wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*y = 751*y - 9438 - 6168 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10 + -9)*(-760)\/4. What is the hundreds digit of 20\/p + 9882\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*r + 299 = 1119. Let j(m) = -m**2 + 9*m + 17. Calculate j(r).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3296 and 0.5.\nAnswer: -1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 15 = -9*l. Solve -5*b + l*p - 13 = 9, 0 = b - 5*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -123*s**3 + 10455*s**2 + 2*s - 248. Calculate t(85).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(6 + -2) + 39 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3733 - -2241. Is 29 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**3*t**4 - 191*k**3*t**2 + 8*k**3 - 9*k**2*t - 2*k*t wrt t?\nAnswer: 12*k**3*t**2 - 382*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/27? (a) 2 (b) -168.03 (c) -1\/6 (d) -2 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -47\/2. Let r be ((-423)\/36 + 12)\/(15\/36). Sort h, -3, r in ascending order.\nAnswer: -3, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1994301 and 54510894?\nAnswer: 163532682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -30. Let v = 43 + m. Solve v*z - 2*z + 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4727 divided by -6?\nAnswer: 4727\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*n - 60 = 0, 2 = q + 2*n - 19. What is the second derivative of q*y**2 - 12*y + 2*y**4 - 5*y**2 - 8*y**2 wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/426200 and -111\/42620?\nAnswer: 426200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (82\/(-6))\/(4 + (-55)\/15). Let n = s - -42. Put -4, n, -9, -2 in decreasing order.\nAnswer: n, -2, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 4*d - 8. Suppose 0 = -d*m + 4 - 0. Solve -2*w - m = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*p + p + 1150, 1454 = 5*u - 3*p. Let h = u - 286. Solve 4*a = -4*m, -4*m - h*a = -2*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4360*y + 4436*y - 4 + 3.\nAnswer: 76*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 1:07 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 52. Let s be 1\/(-2)*4 + -11 + x. Let y be (5\/(-2))\/(-2*(-3)\/s). Let a(f) = -f**3 + 5*f**2 - f - 3. Calculate a(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + w - 2. Let j(s) = -3*s**2 + 3*s - 7. Let c(r) = -2*j(r) + 7*t(r). Give c(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*j, 0*n + 4*n = 3*j + 1716. Suppose -6*v = -0*v - n. Suppose -40 = -2*q + v. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-48)\/4)\/((-2325)\/(-775))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015124 to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -2. Let d = f - 42. Which is the biggest value? (a) -0.3 (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26864648 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -467, -455, -435, -407?\n\"Answer: 4*m**2 - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12448151*n**5 + 106058*n**2 - 108.\nAnswer: -746889060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 1\/10*k**5 + 0*k**3 + 0*k + 0 + 0*k**4 + 22*k**2. Let z(b) be the third derivative of b**5\/20 + 2*b**2. Calculate z(f(d)).\nAnswer: 108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -6905839 > -6905741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 362 and 9774?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -11863*o + 4. Let b(r) = -r**2 + 6. Let x be b(0). Let u be s(x). Let y = u + 12174. What is y rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3*t - 10, 2*t = 4*i + 5*t - 10. Let n(v) = 2*v**2 + 2 - 2 - i*v**2. Let r(b) = 2*b. Give n(r(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -22*a**3\/3 + 85*a**2 + 122. Find the second derivative of u(b) wrt b.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226653 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 7:53 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**4 - 2*k**5 + k**2 + 4*k**4 + (-5*k + 0*k + 7*k)*(-k**4 + k**4 + 2*k**4) + 4*k**5 + 2*k**5 - k**5.\nAnswer: 7*k**5 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 14*k - 22. Let y be r(-13). Let m(p) = -15*p + 10. What are the prime factors of m(y)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -7. Suppose 24 = 10*g - 16. Let r be g\/(-6)*(-1 - 34\/(-4)). What is the biggest value in y, -2\/5, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 484, 521, 564, 613, 668, 729?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1065*d - 407*d + 689*d - 1348*d - 130*d to y + p*d and give p.\nAnswer: -2261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t**3 - 1. Suppose 4 = -2*o, 2*m - 3 = 5*o + 5. Let s be n(m). Let l be -3 - s*(-21)\/(-102). Which is the smallest value? (a) 0.3 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*g + 2035, -3*g - 7*s + 5*s - 3055 = 0. Let n = -1013 - g. Suppose 3*k - 78 + 6 = 0. Calculate the least common multiple of k and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 580*r - 580*r - r**2 - 27*r**5 wrt r?\nAnswer: -1620*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -225.097746 and -135709?\nAnswer: 135483.902254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 12*g**2 - g - 10. Let d be k(-12). Solve -1\/5*f**3 + 0 + 2\/5*f**d - 1\/5*f = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16*q. Let g(c) = -87*c + 25*c - 77*c - 4 + 281*c. What is p(g(a))?\nAnswer: 2272*a - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 636 = 2*n + 3*f - 181, -4*f = 4*n - 1624. What are the prime factors of n?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -587, -1868, -4315, -8318, -14267, -22552, -33563?\nAnswer: -47690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-78)\/(-8) - (3\/4 - 0). Suppose -2*v = 10, 4*b - 3*v = -2*v + 57. What is the remainder when b is divided by ((-8)\/3)\/(42\/z + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36297 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*m + 60 = 252*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 4 - 1)*(-201*x - 475*x - 34*x) to the form w*x + n and give w.\nAnswer: -5680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -6. Let a(r) = -k*r**2 + r**2 + 0*r**2. Let f(h) = -h. Determine f(a(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*((-3 + 3 + 1)*(7 - 7 + d) + 4 + 2*d - 4 + 14*d + 2*d - 12*d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -232 + 9?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288192 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 55*a**2 + 5*a + 55.\nAnswer: -5*(a - 1)*(a + 1)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-38 + 50 + -47).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0041215 rounded to four decimal places?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -61.31?\nAnswer: 61.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 2, z: 4, n: 2, q: 2, y: 6}. What is prob of sequence ynn?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 231*c**3 - 40200*c**2 + 1749483*c - 45414.\nAnswer: 3*(c - 87)**2*(77*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 3*x + 2. Let u be (-24)\/32 - (-23)\/4. Suppose -8*c + u*c + 6 = 0. What is y(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-3))\/((-2)\/(-2)))\/2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b - 18789 = 21948. Suppose 42334 = 35*g - b. What is the greatest common divisor of 73 and g?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n, v - n + 3*n - 3 = 0. Find the second derivative of -27*q**3 - 3*q - 2*q**4 + 27*q**v wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 1, 0.01, 5, -2.1, -0.05 in descending order.\nAnswer: 37, 5, 1, 0.01, -0.05, -2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkk. Give prob of sequence kk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 24*p - 183. What is r(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from {s: 7, r: 2, m: 9, z: 1}?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 + 20299*v\/2 - 7555971.\nAnswer: (v - 719)*(v + 21018)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-8))\/((-38125)\/24400)*5\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 98*h**2 - 3. Let s(c) = -147*c**2 + 5. Let z(v) = 5*s(v) + 8*u(v). Let l be z(-1). What is the greatest common divisor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.020749939*-2.\nAnswer: 0.041499878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4)*(-11928)\/(-10934)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-26 - -25) - (3 + 0 + 5)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -92*u - 8. Suppose -3*p + 10 = 25. Let v be i(p). Suppose -98 = -10*o + v. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 9*n - 6*n - 3, 4*n - 2*x = 2. Sort -3, -1, 4, n in descending order.\nAnswer: 4, n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by -47.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 77, -174, -691, -1606, -3051, -5158, -8059?\n\"Answer: -22*u**3 - u**2 - 94*u + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5\/4, 6\/11, -0.4, 1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11532.5 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2624571229?\nAnswer: 7, 1997, 187751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3229879 times -10?\nAnswer: 13.229879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {o: 10, y: 3, g: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*u + 44 = -3*u, -5*u = 2*x + 4. Let o = -3 + x. Let b = 40 + 0. What is the highest common factor of b and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17\/33 + 2\/11. Put o, -2\/13, -5 in decreasing order.\nAnswer: -2\/13, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122210201020 - -21?\nAnswer: 122210201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 12:43 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -21. Solve -b + 1 - 2 = t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/((-8)\/10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 231*k**2 + 0*k + 0 + 5\/54*k**4 - 8\/9*k**3 + 1\/270*k**5. Suppose f(x) = 0. Calculate x.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 403690.8 weeks?\nAnswer: 244152195840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49720078 and -2.\nAnswer: 99440156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11459 = 20*r - 2*r - 11351 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.51.\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 13) to base 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.37 + -0.3. Let x = l - 0.1. Let m = x + -0.47. What is the biggest value in -2, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cikcfdcfc. Give prob of sequence fk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24938000 rounded to the nearest one hundred thousand?\nAnswer: 24900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (1 - (-14 + 13)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 21014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 370.9 + -370.6. What is the third biggest value in q, -0.5, 0.028, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 5*q**3 - q**3 - 2*q**3 - 2*q**3 + 2*q**3 + (0 + 0 + 2*q)*(-q**2 + q**2 + 2*q**2) - 3*q**3 + q**3 + 4*q**3 + (-1 + 1 + 2*q**2)*(12 - 12 - 7*q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a day?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*g - 4*g + 84, 3*g = -y + 112. Calculate the lowest common multiple of g and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.01 (b) 5 (c) -0.1 (d) 0.16 (e) -1\/3 (f) 7\/9 (g) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.385, 6\/11, 9 in descending order.\nAnswer: 9, 6\/11, -0.385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 8, y: 3, q: 2, d: 2}. Give prob of picking 2 p and 1 a.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15124 is divided by 47?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 952213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*q**2 + 833688*b**2*q - 4*b**2 + 1804*b*q**2 + 2*b*q - 13*b + 8*q**2 + 4*q - 2 wrt b.\nAnswer: -2*q**2 + 1667376*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nicfdcdnnnkdfif. What is prob of picking 1 f and 1 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 4, 1382 in increasing order.\nAnswer: 1\/2, 4, 1382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 125\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.93 - -12. Let k = w + 1.93. Let y = -0.5 - 0. Which is the second biggest value? (a) k (b) -2\/17 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 4 - -33 - 2. Let q = d - 40. What is the smallest value in 1, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.019*0.85\nAnswer: 0.01615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -3 in increasing order.\nAnswer: -8, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7917 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/u*u**(3\/2))\/(u\/(u\/(u*((u\/u**(4\/15)*u)\/u)\/u))*(u**(-4)*u)\/u) assuming u is positive.\nAnswer: u**(323\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p**1\/p)\/p)\/p)**(-3\/20)*(p**1\/p)\/(p\/(p*p\/(p**(-6)*p*p))) assuming p is positive.\nAnswer: p**(103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11322.\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -x**7\/35 + 2*x**3\/3 + x**2 - 4*x. Let v(q) be the first derivative of w(q). Find the first derivative of v(n) wrt n.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in -1, 4\/5, 5, 0, 60?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 336.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 176949 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20949 + -20881. Suppose -z = 4*l - 8*l - 81, -l + 342 = 5*z. Which is greater: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -17. Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 + 3)*(1 + 2*f**2 - 1) - 2*f**2 + 3*f**2 - 3*f**2 + 3*f - 2*f**2 - 3*f)*((-6*f + 0*f + f)*(2 + 0 + 0) + (4 - 4 - 2*f)*(2 + 1 - 1)).\nAnswer: -84*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 + p**2 + 3. Let k = 145 + -124. Let s(a) = 9*a**3 - 22 - 8*a**3 + k. Determine o(l) + 4*s(l).\nAnswer: l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16807, -33570, -50333, -67096, -83859?\nAnswer: -100622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -19460.48214?\nAnswer: 19465.48214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 109, 402, 877, 1528, 2349, 3334, 4477, 5772?\n\"Answer: -b**3 + 97*b**2 + 9*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 6*y - 105. Calculate the highest common divisor of 105 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -36*t - 396. Give g(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63327 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131438833*c**2 - 145415695*c wrt c?\nAnswer: 262877666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108485\/6 - 18080. Sort 0.4, 2.1, 0.17, -1\/3, v in descending order.\nAnswer: 2.1, v, 0.4, 0.17, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10597\/6 - 1742. What is the common denominator of k and -62\/65?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (2 - -2) - -6. Let h(z) = -z**2 + 34*z - 89. Let v be h(29). Calculate the greatest common factor of v and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 227115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -20 + 34. Suppose -k - 3*p = 16, p = 5*k - 3*k + 4. What is the nearest to m in k, -3, -0.168?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26676312 by -171002.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13958907 by -138207.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n + 60. Suppose 4*d - 20 = -0. Solve 0 = -c - 2*c - 5*h - 2, -5*h + n = -d*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*2\/(-16)*-39*4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 112192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4.41066 times 0.1\nAnswer: -0.441066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18050534, 18050530, 18050526, 18050522?\n\"Answer: -4*i + 18050538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10) - 56\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44\/(-16) - -4 - 1. Let x(u) be the second derivative of 0 - 1\/10*u**5 - 1\/10*u**6 + 3*u + 0*u**2 + 1\/3*u**3 + d*u**4. Determine i so that x(i) = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((sqrt(228) - 2*sqrt(228)*-2) + sqrt(228))\/(-1*sqrt(12)*2).\nAnswer: -9*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76\/5919 - -10548\/1973. Determine p so that 14\/3*p**5 + 44\/3*p**3 + 0 - 278\/9*p**4 - s*p + 152\/9*p**2 = 0.\nAnswer: -2\/3, 0, 2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/((n\/n**(-8\/7))\/n))*n**(-5))\/(n**(2\/41)\/n**(-3\/7)) assuming n is positive.\nAnswer: n**(-1244\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 2. Let k(n) = -n - 1. Let r be ((-2)\/3)\/((-26)\/(-507)). Let x(h) = -h**3 - 13*h**2 + 2*h + 23. Let b be x(r). What is b*t(y) + 5*k(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 4*q**3 - 3*q**3 - 1 + (-20 + 2 - 7)*(3*q - 3*q - 2*q**3))*(1 - 1 + q).\nAnswer: 52*q**4 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6850767688?\nAnswer: 2, 67, 2741, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**2\/2 - 495*k\/2 = 0.\nAnswer: -165, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*g, -3*c - g - 353579 = -2009577. Suppose 19*n = -0*n + 19. Let u be c\/4 - n\/(-2). Round u to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 2, b: 2, s: 2, u: 5, n: 1}. What is prob of sequence lb?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -275.966 rounded to the nearest integer?\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 18*t**2 + 289*t + 25. What is the hundreds digit of h(21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 12*p**3 + 4*p**2 - 4. Let u(x) be the first derivative of 3*x**4 + 5*x**3\/3 - 5*x - 169. What is 4*u(b) - 5*z(b)?\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/(-30) + (-9 - 1)\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 3:05 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epwefdwfzzzefzd. What is prob of picking 1 p, 1 z, and 1 e?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/17))\/((z*z**(3\/4)\/z*z)\/z)*z**(2\/3)*z*z**(-1) assuming z is positive.\nAnswer: z**(211\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.9 < 575.8566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81988\/15 - -27326\/5. Which is the nearest to 2? (a) -1\/4 (b) 0.5 (c) 5\/4 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 3*i**4\/4 - 2*i**3\/3 - 3*i**2\/2 + 2*i + 2. Let l be a(2). Calculate the highest common divisor of l and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*x**5 + 21*n*x**4 - 2*n*x + 135*x**2 + 2 wrt x?\nAnswer: 60*n*x**2 + 504*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1408*w**2 + 842 + 0*w - 842 + 0*w.\nAnswer: -1408*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x. Let j(b) be the first derivative of -b**2 - 1. Determine j(v(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 5*s**2 + 7*s + 1. Let y be w(6). Suppose 0 = 2*o - y*o + 20. Let d(u) = 9*u - 2. Is 11 a factor of d(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 8*d**4 + 2*d**3\/3 + 15*d - 62. Find the third derivative of b(a) wrt a.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.199*993\nAnswer: -197.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 7 = -2*u - 29, 3*u = -3. Let v(h) = 15*h**2 - 2*h - 8*h**2 - 6*h**2. Determine v(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b - 33. Let a be n(-9). Let g(l) be the third derivative of 0*l + 0 + a*l**2 + 0*l**3 - 1\/24*l**4. Let f(d) = 9*d. Give f(g(j)).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + -6*3*sqrt(2299) + (sqrt(2299)*3)**2 + -4 + -4 + 3*sqrt(2299)*2*2.\nAnswer: -55*sqrt(19) + 20683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 5*l**2 + 5*l + 6. Let k be i(6). Suppose v + k*v = 1. Let u be (-1*v)\/(-4) + 21\/(-84). Which is the closest to u? (a) -5 (b) -4\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0725 - -0.046. Let i = p + 6.2465. Round i to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13441 - -13441. Let l be 4*1*(-3)\/174. Which is the closest to 1? (a) k (b) 1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u + 288 + 251 = 0 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 278 = -2*w + 302 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) 3.8 (c) 0.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36032.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-191 + 191 - 19*q)*(2 - 1 - 2) + 4*q + 2*q - 4*q)*(3 - q**2 - 3) to g + k*q**2 + b*q + p*q**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2761a - -17?\nAnswer: 27636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 10*b + 2770 = 5*f, -5*b + 2774 = 4*f. What are the prime factors of b?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4998930, 4998914, 4998900, 4998888?\n\"Answer: z**2 - 19*z + 4998948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987221787.\nAnswer: 227, 8754281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-7 + 8 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312155600 by 39019450.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 23*o**3 + 65*o**2 + 2*o - 7. Let q(k) = 75*k**3 + 196*k**2 + 7*k - 23. What is -13*b(m) + 4*q(m)?\nAnswer: m**3 - 61*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-84) + 12\/36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69935 is divided by 752.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00859201965 to five dps.\nAnswer: -0.00859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11087894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 175.954123 and -0.7.\nAnswer: 175.254123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -x - 4*x + 1460, -1460 = -5*x - 3*p. Let o = 508 - x. Does 36 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.134 plus -0.0253?\nAnswer: 1.1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, a: 12, v: 5, j: 1}. Give prob of picking 4 v.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/17 - 11166*w\/17 - 7604932\/17.\nAnswer: -2*(w + 794)*(w + 4789)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 28059*f**2 + 14*f - 5. Let z(p) = -14026*p**2 - 8*p + 3. What is -4*a(u) - 7*z(u)?\nAnswer: -14054*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 25*s - 274. Calculate n(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*6\/(-12))\/(4\/(-10))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 7:14 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*k = 24, 0 = 7*m - 2*m - 3*k + 47. Which is the smallest value? (a) m (b) -0.22 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43602 is divided by 10459?\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(5) + -3)**2 - (sqrt(5) + -2*sqrt(5)*-6).\nAnswer: -23*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5467, 10915, 16433, 22057, 27823, 33767, 39925?\n\"Answer: 6*j**3 - j**2 + 5409*j + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/48924 and -5\/85428.\nAnswer: 38698884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29.6 - 30. Which is the second smallest value? (a) -0.05 (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 - -1) + -9*62\/(-93))*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*s - 3648100 = -3648700 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 + 125. Let c(p) = 13*p**2 + 12*p**2 - 38*p**y + 0*p**2. Let m(l) = -8*l. Calculate c(m(u)).\nAnswer: -832*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -17, -9, 3, 19, 39, 63?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1022*b - 9*b + 102697 = -110*b + 24412 for b.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x + q + 9691 = 0, 3*q = 12. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-1 - (-5 + 1) - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 453*q - 12232. What is d(27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 + 3 = 0. Let w = n - 1. What is the third derivative of -4*l - 2*l**2 + l**w + 4*l wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a81 (base 14) in base 16?\nAnswer: -5321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123374.\nAnswer: 2, 11, 96517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 78*b + 79924 = 79*b, 2*b = -3*l + 59938. List the prime factors of l.\nAnswer: 2, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 + 0*v**2 - 9 + 3*v**2.\nAnswer: -3*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 585721*u - 585721*u - 19371*u**3.\nAnswer: -19371*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 1350*f**5 + 146520*f**4 - 69504*f**3 - 90788*f**2 + 12858*f - 436 = 0. Calculate f.\nAnswer: -109, -2\/3, 1\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.3 + -27. Which is the smallest value? (a) v (b) 1.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -20*w**3 - 99*w**2 + 176*w - 11. Let i(f) = -7*f**3 - 33*f**2 + 63*f - 4. Determine -11*i(v) + 4*k(v).\nAnswer: -3*v**3 - 33*v**2 + 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 613*w**2 - w - 1. Let f be o(1). Suppose 0 = -g + 4 - 0, g = 5*u - f. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7770535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9373661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**6\/54 + 17*m**5\/135 - 8*m**4\/27 + 8*m**3\/27 + m**2 - 29. What is h in w(h) = 0?\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 3:11 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 7*t + 5*l = 0, 3*t = 2*t - t - 5*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 1*(-1)\/2)*-4. Suppose -12*x = -f*x - 20. Find the third derivative of -p**2 - 7*p**2 + 21*p**4 + 9*p**x + 8*p**2 wrt p.\nAnswer: 504*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q*q*q)\/q**(2\/27) assuming q is positive.\nAnswer: q**(-29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 36 = -31 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4\/3 (b) 29 (c) -0.3 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 4216007401.\nAnswer: 4216007400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(-345)*5)\/((-8195)\/87945 - 2\/(-26)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176024891.9999107 - 176024874. Let o = -18 + b. What is o rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 - 30*g**2 - 2*g - 28. Let p be r(-15). What is the third derivative of 8 + 7*l**4 - 8*l**5 + 4*l**5 - 7*l**2 + 5*l**p + l**4 wrt l?\nAnswer: -240*l**2 + 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 2*m**2 + 3*m + 134. What is the tens digit of a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12002 (base 5) to base 2\nAnswer: 1101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 + 6*x**2 - 4*x**2 + (-3 + 3 + 2)*(2 - 2 + 2*x**2) + 3*x**2 - 82*x - 623 + 5*x**2 + 622.\nAnswer: 13*x**2 - 82*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10408 is divided by 10380?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/60 + l**4\/24 + 2*l**3\/3 + 5*l**2. Let c be t(0). Suppose -9*r + 530 = -c*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/35 + -97\/2170. Let f = -179\/434 + i. Is f greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.148 + 1.748. Which is smaller: -2\/3 or u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/9756 and -101\/144172?\nAnswer: 1297548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116044 is divided by 38101?\nAnswer: 1741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**2 + 40*y - 86. Let o = -106 + 41. Let v(m) = 55*m**2 - 440*m + 945. Let u(h) = o*q(h) - 6*v(h). Suppose u(z) = 0. Calculate z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 4. Let g(k) = 51*k - 3. Let i(x) = 195*x - 12. Let a(v) = -23*g(v) + 6*i(v). Calculate -3*a(y) + 4*t(y).\nAnswer: y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 + 137. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2. Let i(d) = d**3 + 5*d**2 - 8*d - 11. Let h be i(-6). Let p(j) = j - 1. Let u(q) = -27*q + 9. Let m(o) = h*u(o) + 9*p(o). Determine n(m(w)).\nAnswer: -324*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/4)\/(17\/(-68)). Which is the fourth smallest value? (a) 2\/3 (b) -5 (c) 7\/4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.620205 decades?\nAnswer: 0.4620205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329 - 11 = -85*x + 75*x for x.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30207048 is divided by 1549?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(91))\/sqrt(7) + (sqrt(52)\/sqrt(4))**2*2 + 1 + -1*((sqrt(13) + 4*sqrt(468))**2 + 0 + sqrt(13) + -1).\nAnswer: -8097 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-54)*3)\/((-1)\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*k + 0*k + 902 = 0, -5*k - 1356 = -3*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 124*p - 2949. Let s be j(32). Which is the closest to 14? (a) -21 (b) s (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57997 + 149918. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 2*p = 93, 298 = -3*k - 2*p + 275 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -3*s - 11*m + 40, 0 = -5*s - 3*m + 72. Solve -9 = 2*h + 3*b, 2*h - 6*h + 5*b + s = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18383 + 329*k**2 + 18383 as r*k**2 + q*k + n and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/100 + (-8)\/(-45)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8 = m. Suppose -3*k - 1 = -u, m*u = 5*k + 4 - 2. Let n be 2*(-1)\/(-2) + k. Is 3 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Let l(j) = -4*j - 2 - 2*j + j**m + 3 + 5*j. Let r be l(4). What is the highest common divisor of 26 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 170932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:14 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*l + (0 + 1 + 1)*(-222*l - 1484 + 1484))*(0 - 2 + 7) to the form v*l + t and give v.\nAnswer: -2210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 - 6*r**2 - 4*r - 16. Let a be w(4). What is the nearest to a in 1\/7, -0.1, 8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2129072*d**3*z**4 - 55*d**3*z**2 - 7647*d**3 wrt z.\nAnswer: 51097728*d**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (9 - (2 + (2 - -2))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 751 + -751. Solve t = 4*r - 4*d + 12, 5*r = d + 2 - 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396, 2488, 8036, 18726, 36244, 62276?\nAnswer: 98508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 448 - 139. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74684462.\nAnswer: 2, 149, 250619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -777.46 to the nearest ten.\nAnswer: -780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -8\/192614727?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11862*j**2 - 162 - 23 + 11883*j**2 + 5.\nAnswer: 21*j**2 - 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 24*n**2. Let r(m) = 6*m - 3. Give g(r(x)).\nAnswer: 864*x**2 - 864*x + 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**7\/17640 - 13*k**6\/5040 - k**5\/70 + k**4\/12 + 5*k**3 - 9*k. Let q(l) be the third derivative of r(l). Factor q(g).\nAnswer: -(g + 1)*(g + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 119946?\nAnswer: -119942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) -5 (c) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = -571 + 475 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1117, 2235, 3353, 4471, 5589, 6707?\nAnswer: 7825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6356, 12741, 19130, 25523?\nAnswer: 31920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 171370.65 months?\nAnswer: 1428.08875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) - (sqrt(450) + (-5*sqrt(450)*2 - sqrt(450))))\/sqrt(10))\/((sqrt(1089) + sqrt(1089)*-3)*-5).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 1580067684.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2420*v - 61. Let w be t(10). Suppose -w = -4*g - 567. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + (2*(sqrt(1000) + sqrt(40)))\/(sqrt(288)*-3 + sqrt(288) + sqrt(288))))**2.\nAnswer: 128*sqrt(5) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11451 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -29.\nAnswer: -36\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, o: 14}. What is prob of sequence zo?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {b: 9, f: 1, p: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*j + 2\/7*j**5 - 2\/7*j**3 + 2\/7*j**4 - 2\/7*j**2.\nAnswer: 2*j**2*(j - 1)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:50 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**3 - k**3 - 3*k**3 + (0 - 5 + 3)*(-3*k**2 + 3*k**2 + k**3) + k - k + 4*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**5\/90 - 7*n**4\/54 + 16*n**3\/27 - 4*n**2\/3 + 13*n + 4. What is z in g(z) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182191 is divided by 70?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 10*b + 12. Determine z(-7).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78783 is divided by 244?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129346 is divided by 32304?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Suppose -4*f - 4 = -p. What is the smallest value in 4, -0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 1 + 29. Find the common denominator of -32\/7 and 18\/((-2)\/(16\/t)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1715) + sqrt(1715)*-2) - sqrt(1715) - (sqrt(1715) - ((sqrt(1715) - 2*sqrt(1715)) + sqrt(1715))*6))\/(2*sqrt(175)*-1*5).\nAnswer: -21*sqrt(5)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*i**2*q**2 + i**2*q*z**2 - i**2*z - 4*i*z**2 + 2*o*q**2*z**2 - 29*o*z + 20*q**2*z**2 wrt q?\nAnswer: -80*i**2 + 4*o*z**2 + 40*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -64. Let u = 3.2 + -5. Let m = -1.5 - u. What is the third smallest value in m, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 490222177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 1. Let o(m) = 2*m + 30. Let q(k) = -4*n(k) + o(k). What is the units digit of q(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 770 - 775. What is the smallest value in m, -99\/10, -2\/3?\nAnswer: -99\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412.59 times -12035\nAnswer: 4965520.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**3 + 1. Let h(r) = 128*r**3 + 2*r + 193. Let s(v) = h(v) - 2*l(v). Differentiate s(b) wrt b.\nAnswer: 426*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34224032 (base 5) in base 3?\nAnswer: 120111020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 457, -1638, -7741, -19988, -40515, -71458?\nAnswer: -114953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**5 - 354*f**4 - 101*f**2 - 15 wrt f.\nAnswer: 120*f**2 - 8496*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-52)\/8)\/((12654\/(-148))\/(-171))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 w when four letters picked without replacement from {r: 9, e: 3, z: 1, y: 1, w: 4}?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2*(sqrt(252) - (sqrt(252) - (sqrt(252) + sqrt(252) + 2))) - sqrt(252)*2*6))**2.\nAnswer: -9600*sqrt(7) + 403600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z**2 - 11*z + 3. Let l(s) = 23*s**2 - 33*s + 9. Let b(o) = -17*j(o) + 6*l(o). Suppose q - 11*q + 80 = 0. Is b(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -43, -4 in descending order.\nAnswer: -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/311004 (b) 56 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -15*z**4 + 1915*z**3 + 19320*z**2 - 18780*z - 54800 = 0.\nAnswer: -10, -4\/3, 2, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6857 + 6859. Solve 6 = p*m - 3*n, -5*m + 1 = -2*n - 2*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 2*v + 4. Let t(w) = w**2 - 9*w - 25. Let y be t(11). What is j(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00032005 rounded to 6 decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -308, -496, -796, -1214, -1756, -2428, -3236, -4186?\n\"Answer: -p**3 - 50*p**2 - 31*p - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*(-2)\/8*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59555689, -59555670, -59555651, -59555632, -59555613?\nAnswer: -59555594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 43*q - 14 - 63*q - 48*q - 58*q.\nAnswer: -212*q - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16057799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0, 74, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3126859 is divided by 932?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 - (-27 + -54)) + 40?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 99881, 99873, 99853, 99815, 99753, 99661, 99533?\n\"Answer: -s**3 - s + 99883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 357*z**2 - 14*z + 22267 wrt z.\nAnswer: 714*z - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -19*x**2. Let g(l) = 250*l**2 - 4*l + 16. Let p(y) = 1998*y**2 - 33*y + 132. Let m(w) = -33*g(w) + 4*p(w). Give h(m(s)).\nAnswer: -1264716*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-5*k**3 + 4*k**3 + 4*k**3) - 10*k**3 + 3*k**3 - 21*k + 18*k.\nAnswer: -k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33428453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -40*a + 36. Let q(n) = n - 1. Let t(c) = 4*l(c) + 144*q(c). Let b(x) = -8*x**2. Give b(t(d)).\nAnswer: -2048*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 17*z**2 + 19. Suppose 0 = -d + 4*d - 51. Let i be r(d). Suppose 4*j + 1 + i = 0. Which is the smallest value? (a) 1\/4 (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 146287*h**3 - 218455*h wrt h?\nAnswer: 877722*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2816*s + 3. Let g(k) = -29230075*k - 31141. Give -6*g(a) - 62282*t(a).\nAnswer: -5662*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**6\/120 + 7*z**5\/60 + 7*z**4\/24 + z**3\/6 - 7*z**2 + 12. Let c(b) be the second derivative of w(b). Give c(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 - 1)*(-4*s + s + 0*s)*(-s + 1 + 4*s + 0*s)*(-4 + 1 + 1).\nAnswer: -108*s**2 - 36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2973832 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**3 + 39*d**2 - 11736*d + 58585. What is q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1383*b + 10*b - 1071 + 203*b + 482*b - 1572*b wrt b.\nAnswer: -2260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 60*f**2 - 7*f - 2. Suppose -4*t = 3 + 21. Let l be n(t). Round l to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**3\/3 + 9*u**2\/2 - 18*u + 9. Let j be c(6). What is the units digit of 7 - ((-10)\/5 - j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -318 and 268546.04.\nAnswer: 268228.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1540\/(-9911) + (-168)\/(-4452)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*t\/((t*t\/t**(3\/7))\/t)))**(-30)*t**12*t**(1\/54) assuming t is positive.\nAnswer: t**(-1937\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/5 - 1872512*r\/5 + 876575297536\/5 = 0.\nAnswer: 936256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4975*k + 204. Let x(y) = -3731*y + 157. Give -10*n(m) + 13*x(m).\nAnswer: 1247*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o + 6. Let h = 245 - 251. Determine c(h).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 4:53 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 71*u + 16 - 33*u - 19*u. Let b(f) be the first derivative of 9*f**2 + 16*f - 3. Let i(c) = 2*b(c) - 3*g(c). Differentiate i(a) with respect to a.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let u = p - 1. Let s = u - 0.1. Which is the nearest to s? (a) -3 (b) 0.3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1104 and 966.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 4*z**2 + z + 6. Let u be c(-4). Solve -3*o = h + 8 + 2, u*h - o - 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 709 + f + 19*f + 4*f - 15*f in the form p + v*f and give p.\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288390 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 887, 5602, 17975, 41834, 81007?\n\"Answer: 638*a**3 + a**2 + 246*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-9)*(1 - 172). Let b = d - -42. Is (b\/16)\/((-2)\/(-8)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(3) + sqrt(3)*-2 + 5 + 4 + sqrt(3)*-2)**2.\nAnswer: -216*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g**2 + 9*g + 9. Let b be 0 + (-2 - 0)*-1. Let m(v) be the third derivative of v**4\/24 + v**3\/6 - 264*v**2. Determine b*i(d) - 18*m(d).\nAnswer: -2*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -1 + 6)\/(4 - 968\/240).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-21))\/4*14455\/210 + -10)*152?\nAnswer: -76\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 24*t**2 - 63*t - 5. Give h(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -21. Let m = i + -8. Factor -5*g**2 + 2*g**4 + m*g**2 - 7*g**2 + g**5 - g.\nAnswer: g*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 449, 648, 825, 974, 1089, 1164, 1193?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + m + h + 16, 48 = 2*m + 2*h. Suppose -19*y + 5*y = -154. What is the remainder when m is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -2, -1315, -1.\nAnswer: -1315, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 41*d**2 - 379*d + 758. What is c(2)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**5\/60 + 56*i**2. Let g(h) = 28*h. Give d(g(b)).\nAnswer: 784*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ftaa when four letters picked without replacement from {t: 2, a: 2, v: 1, h: 1, c: 5, f: 2}.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q + 12. Suppose 19 = 5*o - 16. Let k be w(o). Let y = k + -48. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 91. Let t(g) = 3. Let k(s) = -s + 7. Give l*k(z) + 7*t(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 17 + 69 + 0*c**2 - 84 - c**2. Let z(m) = -2*m**2 + 7. Give -7*a(d) + 2*z(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - 17776656?\nAnswer: -17776666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 82*z + 346. Suppose 5*o = -4*d + 11, 11 = d - o + 6. Let c be a(d). Put 0, -5, c, 5 in ascending order.\nAnswer: -5, 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 = 4*c, -2*i + 4 = 2*c - 6*i. Suppose -d + c*d = -3*u + 69, -3*u = 3*d - 219. Round d to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 157, -6\/7, 0.3, 5\/3?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-18)*(-2)\/28*-8.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -5*x + 92. Let w = x + -20. Suppose -3*i - w = -43. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + o - 14. Let n be w(10). Let q = n - 482\/5. What is the closest to q in 0.4, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 19*s**4\/12 + 2*s. Let m(u) = 2*u**2 - 3*u. Let o be m(3). Let h(i) = -9*i**2. Let r = 304 + -300. What is o*h(c) + r*k(c)?\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 92 = -f, -102 = -2*f - 4*a + 74. Let m = f - 57. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 4:34 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 3*v + 17812 = x, -4*x = v + 14244. What is x rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f + 4. Let d(m) = 15*m - 4. Let c(t) = -6*b(t) - 5*d(t). Let k(x) = 1. Calculate -c(h) - 6*k(h).\nAnswer: -3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/6 + (-2)\/(-3). Let w = 41 + -57. Let y = 16 + w. What is the nearest to y in 0.3, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2610 + -2614. What is the nearest to -13 in p, -3, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-36)\/x**(-33))**(11\/4) assuming x is positive.\nAnswer: x**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 50097*a + 916. Let l be g(72). What is l rounded to the nearest one hundred thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-13)*i*(i*i**(16\/7))\/i)\/((i*i\/i**(-15))\/i*i*i*i*i**(-1)) assuming i is positive.\nAnswer: i**(-187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -2\/21, 765?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkdkqqkqqiyqqqqkq. Give prob of sequence qky.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2431598 is divided by 21326?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*b + 7244 = 21279 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252*q - 251*q = 247. List the prime factors of q.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 - 13*o + 13*o + (0*o + 0*o - o**3)*(-47*o + 18*o + 14*o)*(4 + 0 - 3).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*s = 853 - 5885 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 7:16 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -11, 1\/2, -1, -0.007?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 69 + 29 = -21*u - 22*u, 0 = 4*u - 2*w + 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = -5*s + 3*s + 39, -4*t + 4*s = -12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.3 (b) -0.4 (c) 0.01 (d) -1\/9 (e) 335 (f) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/3)*p**(-1))**38*(p**0*p\/(p**(-3)*p)*p)\/(p*p\/(p*p*p**(-1))*p*p)**(-2\/25) assuming p is positive.\nAnswer: p**(2218\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**3 + 2 - 13*q - 9*q**3 + 3*q**3)*((0 - 3 + 2)*(-4 + 4 + 2) - 6 + 4 + 1 + 2 - 4 + 4).\nAnswer: 2*q**3 + 13*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-9)\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1390*n - 18075. Calculate b(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 + (-52)\/(-16). Suppose -4 = -r*i + 5. Suppose -i*f = 2*f. Solve -4*n = -f*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k - 4*k + 4*k)*(-k**3 + 2 - 2) - k**4 - k**4 + 0*k**4 + 124 - 124 + 7*k**4)*(-4*k + 2*k + 3*k + 2)*(1 + 0 - 5).\nAnswer: -24*k**5 - 48*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 4*w + 0*w)*((3*w + 4 - 4)*(-5 - 10 + 12) - 45*w - 10*w - 16*w) to n + u*w**2 + s*w and give u.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2982901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/6 and -87\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*u + 37, 3*g - g = -4*u + 26. Suppose -2*t = -2*q + 102, q + 2*q - 145 = -g*t. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17571.849 + 17579. Let r = v + 0.149. What is r rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 19 + 159*u + 66*u - 95*u to the form b + q*u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/3824391 - 123911543189\/30595128. Let m = -4055 - y. What is the common denominator of m and 65\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -601 - -750. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37 - 4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9137230, -9137232, -9137238, -9137248, -9137262, -9137280, -9137302?\nAnswer: -9137328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -137, 708, 2059, 3916, 6279, 9148?\n\"Answer: 253*f**2 + 86*f - 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkkhwku. Give prob of sequence hkkq.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-150)\/5*(-2)\/(-9). Calculate the common denominator of (-1024)\/480*2\/(-3)*-5 and (-4)\/q + -2*268\/70.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 67*q = 62*q - 880, -5*b + 1288 = 14*q. What is the remainder when b is divided by 98?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u - 6. Let z be (-3)\/(-4)*((-7 - -2) + u). Let s = 40 + z. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - 3882741?\nAnswer: -3882755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721 = -4*w + 171. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -136, -223, -310, -397, -484?\n\"Answer: -87*w - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + n - 3. Let g be z(-2). Suppose 374 = g*v + 8. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -3\/485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, -6, -9, 25 in decreasing order.\nAnswer: 25, 2, 0.5, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w - 6. Let q be t(-8). Suppose 2 = -y + q*y. What is the first derivative of y - l**2 - l**2 + 3*l**2 wrt l?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3087)*-1 - sqrt(3087) - (sqrt(1575)*2 + sqrt(63)))\/(6*(sqrt(36) + -4*sqrt(36))).\nAnswer: 25*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9027\/(-693) - (5 - 18). Which is smaller: w or -3.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.535 + -12.88. Let n = l - 1.055. Let y = -2 + 1.94. Which is the nearest to y? (a) 0 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10020012 (base 3) to base 16.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/60 + 3*y**4\/4 + 29*y**3\/6 + 13*y**2. Let c be l(-16). Let x(b) = -24*b + 3. Does 11 divide x(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30531 - 12284. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-one halves of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/10 + ((-5096)\/105)\/(-52)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -104 + 345. Suppose 5*q - g = -66. What is the remainder when q is divided by -2*(-6 + -1) - 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/19 - 2570*k\/19.\nAnswer: -2*k*(k + 1285)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9159998 rounded to the nearest 10000?\nAnswer: 9160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10297 or -10264?\nAnswer: -10264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2268322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 455.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -79*l**4\/4 - 80*l**3 + 2907*l**2\/4 + 827*l + 40 = 0.\nAnswer: -8, -1, -4\/79, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44044011 (base 5) in base 4?\nAnswer: 1130102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.11866mg to kilograms.\nAnswer: 0.00009811866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1200117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 11) in base 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.157261417 rounded to five dps?\nAnswer: -0.15726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2092096?\nAnswer: 2, 97, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*h - 6. Calculate the smallest common multiple of h and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 269*j**3 - 270*j**3 - j**2 + 5*j**2 - 9. Let k be f(3). Solve 4*d - 24 = 4*x, -14 = -k*x + x - 5*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**6\/48 + r**5\/5 - 5*r**4\/8 + 2*r**3\/3 - 720. Let b(o) = 0. What is o?\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5696*m**2 + 19*m + 13*m + 11539*m**2 - 30*m - 5740*m**2.\nAnswer: 103*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181 - -188.1. Which is the closest to -2\/7? (a) o (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 6:23 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 716 - -74. Round c to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24773996, 24773990, 24773984, 24773978, 24773972?\nAnswer: 24773966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 + 0*4\/(-20). Suppose 5*c = l + z, 5*l + 25*c = 26*c + 60. Solve l*q = 10*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 194463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -5) + 87 + 5. Calculate the highest common divisor of 24 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -60. Suppose 63 = -f + 5*k + 207, m*f - 3*k - 288 = 0. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 - 40*m + 896. Calculate l(-25).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-228)*(-336)\/(-630).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2 - 55\/(-30)). Let z be (-8)\/h - 26\/(-24). Factor -1\/4 + q**3 + z*q**2 + 1\/2*q.\nAnswer: (q + 1)**2*(4*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.2831 to zero decimal places.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -3*d + 70. Let l = 20 - d. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 11791983.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 7:03 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j - 41. Let l be g(-11). What is the first derivative of -5*n**4 + 158 - n**4 + 9*n**3 - 17*n**4 - 7*n**l wrt n?\nAnswer: -92*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201 and 6231?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (0 - (-5 - -7)) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 7:59 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 296467049 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 - 2*i**4 + 0*i**4)*(-1 - 117 - 1 + (-1 - 1 + 1)*(-4 + 2 + 6)).\nAnswer: 123*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2)*z)\/(z\/z**(-8)))\/(((z\/(z*z**(-1)))\/z)\/z)**40)\/(((z**(-2)*z)\/z*z)**27\/((z\/(z**(-2\/3)*z))\/z**(-1\/6))) assuming z is positive.\nAnswer: z**(347\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {h: 10, l: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 1414?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + -3 + sqrt(832) + 3)*5)**2.\nAnswer: 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.26 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/7, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 696014 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 15*y + 7. Let w be (-39)\/9 + (-2)\/(-6). Put 6, w, y in decreasing order.\nAnswer: 6, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -10\/11, 0, -0.4, -2 in decreasing order.\nAnswer: 0, -0.3, -0.4, -10\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.68556 micrometers in millimeters?\nAnswer: 0.09868556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 21 = -4*r, 13*r - 102 = 5*l - 137 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 y when four letters picked without replacement from zzzyzzzyzzzzzzyz.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h + h - 58 + 12*h**2 - 9*h**2 + 15*h - 6*h. Let y be k(4). Calculate the greatest common factor of 243 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 1. Let w = -1646\/11 - -15760\/99. Let m = w + -928\/99. Sort k, m, 0.5 in descending order.\nAnswer: k, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y - 2*y - 2*y)*(35*y - 110*y - 21*y).\nAnswer: -96*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -799 divided by -104\nAnswer: 799\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3477 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 4. Let q be r(-5). Suppose 7*g - 4*g = -f + 14, 0 = 2*g + 4*f - 6. Let h = 9 - g. Solve -3*z = -h*s + 13, -6 = 2*z - s + q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -180 + 186. Sort 0.5, -5, 3, f in descending order.\nAnswer: f, 3, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 7*x**4\/8 - 13*x**2. Let d(i) = -11*i + 42. Let h(v) = -6*v + 24. Let w(j) = -4*d(j) + 7*h(j). Calculate g(w(r)).\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -9\/10 (b) 0 (c) -2\/5 (d) 2300\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o\/(((((o**(4\/5)\/o)\/o)\/o*o)\/o)\/o))*o)*o*o\/(o*o**(2\/13)*o))\/((o\/o**(-3\/5))\/(o*o\/(o\/o**6))) assuming o is positive.\nAnswer: o**(484\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2194 - 1063. Is j a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*w**2 - 26 - 14*w**4 + 27 + 16*w**4 + 2*w**3 in the form c*w**3 + s + i*w + y*w**4 + j*w**2 and give j.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3564421*w**3 + 714210*w**2 - 2*w wrt w?\nAnswer: 21386526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16071.9978873 - 16072. Round w to 5 dps.\nAnswer: -0.00211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -305710, -611418, -917126?\n\"Answer: -305708*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24198054 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b - 6. Let g be a(4). Suppose -2*f - 14 = -y - y, -2*y + 5*f = -g. Let m be (2 - y\/(-3)) + 1. Let w(s) = -s**2 + 2*s + 4. What is w(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/((-460)\/450 + 1). Calculate the highest common divisor of o and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(18)) + sqrt(18)*4 + 3 + sqrt(32))**2.\nAnswer: -44*sqrt(2) + 969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(153) + -4 + (-3*(-3 + sqrt(153)) - sqrt(153)) - (sqrt(153) - (sqrt(153) + -4*sqrt(153)*-3) - (-2 + sqrt(153)*1 + sqrt(153)))) + 0)**2.\nAnswer: 252*sqrt(17) + 29997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.9 + -4.4. Which is the biggest value? (a) s (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 421 (base 5) to base 6\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 10. Let f be (-2)\/p - 24\/45. What is the second smallest value in f, -2\/11, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/2)*l*l\/l**(-9))\/(l*l**(2\/9)\/l)**31 assuming l is positive.\nAnswer: l**(101\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 111595?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = -0*j - d, -5*d - 28 = -4*j. Suppose -206 = -j*n + 2*l, 2*l + 3*l - 309 = -3*n. What are the prime factors of n?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808.6491 litres in millilitres?\nAnswer: 808649.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v + 47. Let c be n(5). Solve j = -3*k - 0*k - 11, 3*j - c = -2*k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26371 - 25644. Calculate the remainder when i is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 434?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 l, and 1 d when three letters picked without replacement from {s: 9, e: 2, d: 1, h: 3, l: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 1. Let t(l) = -l**3 + 7*l**2 + 7*l + 10. Let y be t(8). Suppose -v - y + 7 = 5*a, -v = -4*a + 4. Let c(h) = 2 + 0 - a - 4. What is c(f) - 2*o(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -7*i**3 - 7*i**2 + 7*i - 5. Let t(o) = -6*o**3 - 5*o**2 + 6*o - 6. Let h(r) = 5*m(r) - 6*t(r). Determine h(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/2090*5\/(-4).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmqj when four letters picked without replacement from qjqjmjtqtqmjmjjjjj.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 38 = -9. Let n = a + 52. Calculate the least common multiple of n and 5\/2 - 1\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-5)*d))**(-8\/3)*d**12\/(d*d**10))**(2\/49) assuming d is positive.\nAnswer: d**(34\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 11*x + 9*x**2 - 2*x**2 + 5*x**2 - 4*x**2. Suppose 0 = 5*c - 3 + 58. Let m(g) = 4*g**2 - 6*g. Give c*m(a) + 6*r(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 + 2*k - 2. Let t be h(-2). Suppose 12*y - t*y = 10. What is the remainder when 22 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*o**2 - 93*o**2 - 105*o**2 - 90*o**2 - 89*o**2 - 98*o**2.\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(22)\/sqrt(2) - (sqrt(396) + -2)*1) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*r**3 + 92*r**3 - r**2 + 149*r + 177 - 178 in the form l*r + f*r**2 + b + k*r**3 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8405, -16750, -25095, -33440, -41785?\nAnswer: -50130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*w - 8*w**3 - 8*w**3 + 146*w + w**3 wrt w.\nAnswer: -90*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**7\/v)*v\/(v\/(((v*v**(-3))\/v)\/v))*v**(-4)*v**5\/v*((v\/(v*((((v*v*v**2)\/v)\/v)\/v)\/v*v))**(-2\/7))**(-28) assuming v is positive.\nAnswer: v**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, a: 5, n: 1, p: 2}. Give prob of sequence aana.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -22269781198?\nAnswer: 22269781197.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 890 and 1157.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -128 or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r + 2*r)*(-2*r + r + 4*r) + (-3 - r + 3)*(-2 + 5*r + 2).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 minutes after 7:38 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 17*x + 4. Let h(k) = 8*k + 2. Suppose -26*y + 25*y + 4 = 0. Calculate y*q(o) - 9*h(o).\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 389742*g**5 - 5*g**2 - 42231 wrt g.\nAnswer: 23384520*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.083 + 0.0830142. Round c to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*p - 57*p = 54 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a week in minutes?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-372))\/((-424)\/(-12)). Let h = 67347\/13144 - c. Calculate the common denominator of h and 10\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217241029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13603.\nAnswer: 61, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 685 + -682. Which is smaller: 130\/77 or o?\nAnswer: 130\/77","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 18.3. Let v be (-21)\/132 - (-2)\/8. Sort 0.2, u, 2, v in descending order.\nAnswer: 2, 0.2, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1.423 (c) -1\/5 (d) -7 (e) 0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6009.6 - 6010. What is the nearest to 0.1 in -1\/3, 0, -0.04, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a - 9. Let v(g) = -9*g - 17. Let x(z) = -11*d(z) + 6*v(z). Let b(r) = 88*r - 1062. Let i be b(12). Give x(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/312398 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006179241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*t + 64*t - 106*t - 7220 - 102*t + 7218.\nAnswer: -216*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -770 divided by 6?\nAnswer: -385\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2248 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 10*i**2 + 7*i + 16. Let m(a) = -28*a**2 + 2*a + 8. Let z be m(-3). Let q = 260 + z. Calculate the least common multiple of q and g(-11).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23.3 and 1.28853.\nAnswer: 30.022749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -117, -104, -71, -12, 79?\n\"Answer: b**3 + 4*b**2 - 6*b - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (62 - (60 - -24))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 616*o + 31865. Determine c(-57).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30 - (-3 + 2))\/1. Let h(a) = -7*a - 120. Let q be h(-23). Let w = b + q. Calculate the remainder when w is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992.69 kilometers in nanometers?\nAnswer: 992690000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -50 - 45. Calculate the greatest common divisor of k and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 12*k**3 + k + 1. Let v(f) = f**3 - f**2 - 459*f + 2. Let s(j) = 2*p(j) - v(j). Find the second derivative of s(y) wrt y.\nAnswer: 138*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 7*n**2 + 5*n + 2. Is 9 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49\/3 - -16. Let w = 1451\/9 - 161. Which is the closest to h? (a) w (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/6166053 and -67\/7497?\nAnswer: 302136597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724 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 t(l) = 357*l - 5707. Let v be t(16). Solve o = -4*o + 3*c + 2, 4*o + v*c = 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 11 + 22 - 11.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*y - 17452 + 7573 = -29*y - 13*y for y.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.3 - -1.7. Which is the nearest to 0.05? (a) w (b) 0.2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 + 0*v**2 - 2*v**2 + (3*v + 2*v - 6*v)*(2*v + v - v) + 53*v**2 - 264*v**2 + 1195*v**2 + (0*v + 2*v - 3*v)*(-v + v + v).\nAnswer: 982*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/120*5)\/(4\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.9. Let t be (-9)\/20 + (-60)\/(-240). Which is the biggest value? (a) -2\/9 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12*o - 33. Let q be x(10). Let m = q - -461\/3. Which is the closest to -2\/5? (a) -2\/3 (b) -2 (c) 2 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45813, 185024, 417629, 743628, 1163021, 1675808?\nAnswer: 2281989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/11*p**3 - 8\/11*p + 0*p**2.\nAnswer: 2*p*(p - 2)*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -3.4056\nAnswer: -1.02168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -424*c - 76*c**3 + 420*c + 24*c**3.\nAnswer: -52*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + 3. What is the smallest common multiple of 42 and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -20, -1, 17, 21 in descending order.\nAnswer: 21, 17, 2, -1, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -23, 42, 938, 4, -4 in decreasing order.\nAnswer: 938, 42, 4, -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(175\/(-10))*56\/12. What is the closest to -0.08 in 0.4, n, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 11 = -0*n - n, 3*n - 247*i - 33 = -252*i for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116530 is divided by 135?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2. Let x be (-2)\/(2 + -4) + 3. Let b(v) = 2*v - 10*v + x*v + 3*v. Determine w(b(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -32*p + 17. Let h be u(0). Let v be h\/7 - (-189)\/(-63). Let z = -1 - 1. Which is the nearest to z? (a) 0.3 (b) -3\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8711 is divided by 249?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 28.452, 59?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c**3 - 2*c**2 + 22*c + 23. Give a(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211738757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(176) + 1*sqrt(176) + 2 + 3 + -1*sqrt(176) + -3 + sqrt(176)*2 + 1 + 2)**2)*4.\nAnswer: 480*sqrt(11) + 6448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -38*l**2. Let h(p) = -p**2. Determine h(i(j)).\nAnswer: -1444*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1401.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*t - 8. Is (2 - 0) + (23 - t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by -39\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**5\/60 + g**4\/2 - 11*g**3\/3 - 6*g**2. Let u be r(10). Let o = u - -17. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 691*t + 119576. Determine y(-143).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54334031?\nAnswer: 54334031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 2\/75, 2, 0.5, -0.2, 3?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvqqqqqqqqqq. What is prob of picking 2 v?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260 + -176. What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 288*t**2 + 3*t - 512*t**2 - 3*t as a + s*t**2 + l*t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -24. Let d(l) = l**3 + l - 4*l - l**2 - 2*l + 2. Let k be d(r). Let s(q) = -q + 11. Give s(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55483 or -55532?\nAnswer: -55483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*h + 252*h + 294 = 452*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 7.4, 2\/7, 2\/13, -171, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 < -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1, -0.8, -3, 2\/207?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34.71 + 22.64. Let d = n - 0.35. Let h = d - 57.062. Round h to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiiii. Give prob of picking 2 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 295*p**2 + 4. Let r(w) = -158412*w**2 - 2149. What is -2149*j(g) - 4*r(g)?\nAnswer: -307*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 163315*h - 163315*h - 1 + 6125*h**2 - 2 in the form p + s*h + i*h**2 and give i.\nAnswer: 6125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5 = 20. Let u(v) = v**2 - v + 4. What is the remainder when u(c) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3 = -h - h, 4*h = 4. Let t be ((3 - 3) + 0)\/(z + 0). Solve -u - 6 + 3 = t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - 330\/(-720). Which is the smallest value? (a) 4 (b) 0.2 (c) -5\/3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*t**3 + 3*t**2 - 742*t wrt t.\nAnswer: -186*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2004*r - 12025. Give x(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 241 + -239. Let r = -2\/53 - -222\/265. Which is the closest to 0? (a) r (b) s (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 14420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2331\/74)\/((-833)\/(-68))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 556 (base 7) to base 2\nAnswer: 100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1066 + -3.8934. Sort -11, 2, p, -0.1 in ascending order.\nAnswer: -11, p, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 7*p + 4. Let n be u(-8). Suppose -4 = 4*b - n. Solve y + 3 = -b*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 a factor of 1566292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 631590158 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.69 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.7, 2, 129.\nAnswer: 2, 6.7, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 3826?\nAnswer: -3824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -5*v + 282. What is the lowest common multiple of 27 and v?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 - -1 - (37 - (62 + -14)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1056\/7, -0.1, -1\/113, -133, 3 in decreasing order.\nAnswer: 1056\/7, 3, -1\/113, -0.1, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1981 + 1560. Let g = 2341 - x. Round g to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 1. Let r be m(1). What is the first derivative of 2 - 2*o**2 + 4*o**3 - 3*o**r + 2*o**2 wrt o?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549712 to the power of 1\/2, to the nearest integer?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2*s + 1295. Let i be ((-32)\/24)\/((-5)\/(420\/(-8))). Is s\/(-49) + 4\/i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + sqrt(121) + sqrt(121) + 3*sqrt(121)*4)\/(sqrt(539)*-1 + sqrt(11) - sqrt(11)).\nAnswer: -15*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5111*f. Let l(w) = -2*w. Determine p(l(o)).\nAnswer: -10222*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 + 19 + 121 + 131*l.\nAnswer: 131*l + 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -88, 3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjjqdxxxxkk. What is prob of sequence qdx?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 33, 60, 103, 168?\n\"Answer: m**3 - m**2 + 13*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 5*b**3\/6 - b**2 - 8*b. Let v(g) = 6*g - 3. What is -3*c(h) + 2*v(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -64504489.91 to the nearest 100000.\nAnswer: -64500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16618933 is divided by 522?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/370 and -55\/574.\nAnswer: 106190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 56\/10 + (-2)\/(-5). Suppose -3*v = -w*v + 30. What is the smallest common multiple of (3\/(-6))\/(1\/(-2)) and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/7)*d*d*d**(-1\/4))**(-3\/25)*((d\/d**(-4\/7))\/(d**(1\/3)\/d))\/(d\/(d\/(d\/((d\/((d*d\/(d*d**(-2\/15)*d))\/d))\/d)))*d\/d**(2\/13)) assuming d is positive.\nAnswer: d**(4357\/3900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2\/9 + 4*m\/9 - 2\/3 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + (-8)\/1 + (-288)\/(-18). Solve j = -r - 5, -4*j - r + g = 13 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 2*y**2 - y - 1. Let k be p(-2). Let m be (-162)\/(-8) + k\/(-4). Calculate the highest common divisor of 50 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/(-6))\/(9\/(-24)). Let l be 430\/2002 - p\/110. Let j = -215\/1001 + l. Which is the second biggest value? (a) j (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 10*d + 90. Is y(6) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 736425 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: What is the third derivative of -3*r*y**3 + 106*r*y**2 - r + 15*y**6 - 8*y**2 wrt y?\nAnswer: -18*r + 1800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -19*j**2 + 1053*j + 3314. What is k(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -95*h**2 + 6*h + 6. Let m(r) = 191*r**2 - 13*r - 13. Calculate 6*m(j) + 13*v(j).\nAnswer: -89*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*r + 4*s, 9*r - 4*r - 3*s - 35 = 0. Solve 0*y - 2*y = r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -33. Suppose -l - l - 15 = -3*w, 5*w = 2*l + g. What is the third derivative of 2*x**4 + 2*x**2 + 10*x**3 - 10*x**w wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 8:05 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/86250 and -34\/11514375.\nAnswer: 23028750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + -4*-4*sqrt(114))\/(4*sqrt(600)).\nAnswer: 17*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 1.9, -0.4, 16129?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 11111011011001101110?\nAnswer: -11111011011001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1872) + -3 - sqrt(1872)) + sqrt(1872) + 5)**2 + ((sqrt(3328) - sqrt(3328)*-2) + sqrt(3328))\/((sqrt(112)\/sqrt(4))\/sqrt(7)).\nAnswer: 80*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 0*w**2 + 2*w**2 - 71.\nAnswer: 2*w**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 1893 + 3. Suppose -a - 178 = -4*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61012 + -2463?\nAnswer: -63475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -15113.21584 to one decimal place.\nAnswer: -15113.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.497707 micrometers to centimeters.\nAnswer: 0.0000497707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -18376, -0.1 in decreasing order.\nAnswer: -0.1, -76, -18376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 12 = 3*w, w - 4*w - 52 = -5*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 + (-1 - 4))*3. Let l be 10\/q*(-24)\/40. Suppose -l*a = 5*r - 236, 2*r + 0*r + a - 94 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-5 + 1*sqrt(891)) - ((-2*sqrt(891)*-2 - sqrt(891)) + -1 + sqrt(891)*1)) + 5)**2.\nAnswer: 162*sqrt(11) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 82*m**3 + 2*m**2 + 5*m - 7. Give d(1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3929 and 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.59 + 0.69. Let d = 9.8 + -12. Let o = 7.8 - d. Are z and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -4*t**2 + 34*t + 30. Let w be x(4). Solve 8 = -2*s - w*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 2. Let b = 138 - 142. Calculate the remainder when 19 is divided by i(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**5 - 2*r**4 + 4*r**3 + 7*r**2 + r + 1. Let x(c) = c**5 + c**2 + c + 1. Suppose -6*k + k = -5. Let i(q) = k*s(q) - 3*x(q). Factor i(j).\nAnswer: -2*(j - 1)**2*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 2*v + 72. Suppose -13*g - 27 = -43*g - 27. What is l(g)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7740 and 1736856?\nAnswer: 8684280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, -2\/13, -502, 2\/3, 9\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 - 68*g + 17. Let p be l(-6). Find the second derivative of -7*y**3 - 13*y**3 + 15*y**3 + 17*y**2 - p*y wrt y.\nAnswer: -30*y + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**5 + 995*d**4 + 53485*d**3 + 373765*d**2 - 1510770*d + 1082520 = 0.\nAnswer: -97, -93, -12, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-169))\/((-6)\/4)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25455833 to the power of 1\/2, to the nearest integer?\nAnswer: 5045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 6*c - 1. Let k be j(6). Let a be ((-2)\/(-2))\/(k\/(-17)). Suppose 3*h - 3*l + 2*l = a, 2*l + 18 = 2*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -7977736\nAnswer: -1\/3988868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1324009 is divided by 264777?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28000 + 27973 = -27*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5*sqrt(180) + sqrt(180))**2 + sqrt(5)*-3*5).\nAnswer: -25920 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20303, -33780, -47257, -60734?\n\"Answer: -13477*h - 6826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (0 - (-48)\/(-20)). Suppose 11*f + 891 = 924. Sort -5\/2, p, f, -4.\nAnswer: -4, -5\/2, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from vffuvvururvffuruu?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l = -22*l + 4958760. Round l to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 730 in 173, -2, -0.17, 2\/7?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10084.923s in hours?\nAnswer: 2.8013675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2. Let p(h) be the first derivative of -2*h - 191*h**2 - 13 + 7*h + 189*h**2 + 4*h. Calculate p(u(b)).\nAnswer: 12*b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**5\/120 + z**4\/16 + z**3\/6 - 3*z**2\/2 - 2*z. Let g(n) be the first derivative of d(n). Factor g(y).\nAnswer: (y + 1)*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 4. Let n be m(-3). Let k = 1 + n. Solve 5*r = -20, k*r + 12 = -g - 2*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -302*k + 666. Let c(o) = -33*o + 72. Let g(i) = 37*c(i) - 4*w(i). Let u(p) = 3 - 3 + 6*p. Calculate u(g(s)).\nAnswer: -78*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = -25. Let m = s - -4. Suppose 0 = -3*b + m + 12. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 13. Let h(b) = 2*b - 7. Let t(q) = -9*h(q) - 4*z(q). Let v be (0 - 1\/1)*8. What is the tens digit of t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:28 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 293157114 to the power of 1\/2, to the nearest integer?\nAnswer: 17122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1 + 191*z**3 + 191*z**3 + 134*z**3 - 515*z**3. Let y(q) = -34*q**3 - q**2 + 4. Give 4*s(g) + y(g).\nAnswer: -30*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1025622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 4, 11, 18?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.6615 + 0.3385. Let l = -1 + 1.4. Let k = -4 + 4.1. What is the closest to k in l, h, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*k - 2*o, 9*o = -4*k + 4*o - 12. Let x be (6\/(-15) + (-12)\/(-5))*k. Solve 0 = -0*a - x*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12619 is divided by 473?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7889674795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4965859 rounded to 2 dps?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 39*i**2 - 78*i - 111. Let g be c(-37). Solve -174 = -g*d + 8*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/13 + 20*a\/13 - 50\/13 = 0. What is a?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -131760299.5 to the nearest one hundred thousand.\nAnswer: -131800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 3. Let r be h(0). Suppose -r*s = i - 94, -140 = -4*s - 3*i - 8. Calculate the greatest common factor of s and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -1512.04.\nAnswer: -1512.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ba50 (base 15) to base 13.\nAnswer: a322a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - u - 10, 2 = -u. Let n be v\/(2\/3 + 0). Let m(t) be the first derivative of t**4\/4 - 5*t**3\/3 - 3*t**2 - 4*t - 1. Give m(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 5:49 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - 2 - 10*z + 2629*z**2 - 2629*z**2 to i*z**2 + v*z**3 + t*z + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3045 + 3050 = -190*f - 745 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16.6 and -3937.\nAnswer: -3920.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26832 + 26832 + 2*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2104)\/(-5260)*1\/2*10*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177871, -177362, -176853, -176344, -175835?\nAnswer: -175326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 22 = -5*u. Let j(p) = 5*p - 15. Let m be j(u). Suppose -3*s + 2*l = 3*l - 174, -2*s - l + 117 = m. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j + 9*j + j**3 + j**3 - 7*j**4 + (2*j**3 + 0*j + 0*j)*(-3420*j + 1725*j + 3012*j).\nAnswer: 2627*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2. Let c(t) = -117*t + 241*t + 102*t + 1442*t + 1335*t. Calculate u(c(y)).\nAnswer: 9018009*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 257554 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20213131 (base 4) to base 7.\nAnswer: -204616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5850.23 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00098146815 rounded to 5 decimal places?\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*s + 41. Let u = s - 10. What is the derivative of 0 - 1 - 3*o**3 + u*o**3 wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-2*4)\/(44\/(-826)). Let w = -150 + v. What is the nearest to w in 3, 18, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(280)\/sqrt(10))**2 - sqrt(7)).\nAnswer: -84 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -47. Suppose -2*v - v - 4*d + 36 = 0, a*d + 22 = v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 6. Let s be (-4)\/10 - 168\/(-20). Let z be d(s). What is the units digit of (-4)\/(-2)*(-9)\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-6) - (-3)\/9. Let q = -0.07 - 0.43. Which is the nearest to v? (a) 2 (b) -2\/5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 8*x**2 + 8*x + 9. Let m be d(-7). Let u(k) = 6*k**2 - 16*k**2 + 9*k**m. Let w(f) = -5*f - 3*f + 0*f. Determine u(w(v)).\nAnswer: -64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11597201 is divided by 227.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15368.\nAnswer: 2, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 366*t + 448.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 797365728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -29*q**6\/30 + 17*q**4\/4 - 1481*q**3\/3 - 843*q. Find the second derivative of i(d) wrt d.\nAnswer: -348*d**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/19, -3, -2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -7 - (16\/(-24)*681)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.53 - 6.81. Let q = r - 1.82. Which is the nearest to 4? (a) 1 (b) -3 (c) q (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3809536238652 and -0.02?\nAnswer: 3809536238651.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 4*m**2 + 3*m - 6. Let c be n(-5). Suppose -b + 5*b - 8 = 0. Sort b, 1, c in decreasing order.\nAnswer: c, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 389, 0.3, -2\/15, -367 in ascending order.\nAnswer: -367, -2\/3, -2\/15, 0.3, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 10 = p. Let j(l) be the first derivative of -l**3\/3 - 5*l**2\/2 - 5. What is j(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-3 + 8 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 2146?\nAnswer: 4292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = i + 44, -5*l + 3*i = 44 + 4 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 11. Let n = 4 - j. Which is the nearest to 1? (a) -1\/2 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 divided by -19?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 82\/4*-1*2. Let u = o - -176. Suppose 0 = -4*g + u + 33. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*h - 6, 0*i = -3*h + i + 9. Solve 3*q + 2*m + 27 = 5*m, h*m + 8 = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 22 + 14 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 31 = 3*y - 9*t, -2*y + 3*t = 22 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30001 (base 4) to base 2.\nAnswer: -1100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 20. Let b be ((-9)\/(-4))\/(5\/40*-2). Let u be s(b). Suppose 20*l - 292 = u*l. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffqimqffmqqtqieff. Give prob of sequence mi.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 21*h - 2. Let q(c) = -633*c**2 + 320*c**2 + 312*c**2. Determine q(m(n)).\nAnswer: -441*n**2 + 84*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -p + 6*p. Suppose 3*u = u + p. Suppose -5*d + n - 10 = -2*d, 30 = -u*d - 5*n. What is the second smallest value in d, -4\/7, -3\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from axayslaxaywxsywl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0122038598 to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4)*(110\/(-26) + 3). Which is greater: y or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106886678*n - 86311663 wrt n.\nAnswer: 106886678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, r: 6, w: 2, u: 8}. What is prob of sequence wduw?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -269, -265, -261, -257, -253, -249?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 24955*v. Let j(c) = -377*c**2 + 12. Determine y(j(w)).\nAnswer: -9408035*w**2 + 299460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -g + 7, -5*d + 7 = 5*g + 2. Suppose 0 = d*a + a - 20. What is the units digit of (-2 - 3)*(-4)\/a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6284 - 6278. Solve -8*o - 42 = p*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 250474?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 64?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*t + 700 - 700 + 81*t - 37*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*w + 631 + 636 - 1268.\nAnswer: -49*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 9:16 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 86423, 86425, 86427, 86429, 86431?\n\"Answer: 2*o + 86421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36 + 36 - 4*j + (-62 - 12 + 0)*(j + j - 3*j).\nAnswer: 70*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2912*p**4 - 1625*p**2.\nAnswer: 69888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 79294.\nAnswer: 1744468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3612 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*w = i + 3532, 0 = -5*i + 3*w + 4423. What are the prime factors of i?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*a**6 - 29*a**5 - a**4 - 31529*a**2 wrt a.\nAnswer: -6120*a**3 - 1740*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 - 68*u**2 - 3349*u + 113851. What is l(34)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -127\/2?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1396453122?\nAnswer: 2, 3, 43, 200467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 4*w + 4. Let n be m(4). Suppose -g + n = 0, 0*b + 4*g = b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from {s: 5, q: 1, u: 1, p: 13}.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22 + (40 - 19))*-17. What is the highest common factor of 3893 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84885 to the power of 1\/2, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/5)\/((a\/(a\/(a*a**(-5\/2)))*a)\/a*a)*(a**(-1\/2))**14*(a\/a**(-6)*a)\/(a\/(a*a\/(a*a**(1\/2)))*a)*a**(-1\/5)*a\/a**(-5) assuming a is positive.\nAnswer: a**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 60 + 161 = 5*n, 4*n - 68 = 4*p. Calculate the remainder when 1004 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 + 115 + (1 - 11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -87134, -0.01, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*j + 2*j + 23 = 0, -5*r + 33 = -2*j. Let z = -4 + 8. Sort 0, z, r in decreasing order.\nAnswer: r, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.84 - -7360.577?\nAnswer: 7356.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1294\/(-1102) - (-2564)\/(-37178)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520881277 is divided by 859.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4035?\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 31540 to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58.032 - -8.362. Round n to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k + 11*k - 7*k. Let l(o) = 3*o. What is l(p(x))?\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 746086223 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 148. Let g be h(10). Suppose 2*z - 156 = -g. What is the highest common factor of z and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150013566*t**5 + 32*t**2 + t + 299131 wrt t?\nAnswer: -9000813960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -bba8de (base 15) in base 14?\nAnswer: -128c18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, 169, 170, 171?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2 + 457 + 680*a**3 + 2*a**2 + 254 wrt a?\nAnswer: 2040*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/180 + w**5\/3 + 19*w**4\/12 + 80*w**3\/3 + 117*w**2. Let k(m) be the first derivative of u(m). Factor k(r).\nAnswer: 2*(r + 1)*(r + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14272465 = -108*j - 4344997. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 11*x**2 - 114*x - 221. What is g(-2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from yiyyyyeiie?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p. Let j be o(3). Suppose -j = -5*u + 6. Solve -u*z = -2*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-1 + 4) - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1\/146 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/60 and (-9)\/(-135)*82\/(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -86, -277, -780, -1745, -3322, -5661?\n\"Answer: -25*q**3 - 6*q**2 + 2*q - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-103)\/(-7) - (-2)\/7. Let t = 1367 + -1329. Suppose -t*h + 40*h = 10. Solve 0 = s - 8*i + 3*i - 30, -2*s - h*i - j = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 = 3*f, 3*f + 2*f - 25 = -2*k. Suppose 4*p = 2*p + 948. Is (-2)\/((-4)\/p*f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1981034312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(3*(sqrt(2736) - (3*sqrt(2736) + 4 - sqrt(2736) - sqrt(2736))) + (sqrt(2736) + 2*sqrt(2736) + -1 - sqrt(2736)) + 2)**2.\nAnswer: -1056*sqrt(19) + 22127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148246304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 265487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + v**2 + v**2 + (-2 - 1 + 1)*(-154 + 36*v**2 + 154) + 15*v - 15*v + 6*v**2.\nAnswer: -64*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-11 + -4 + 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000025242 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34717 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 57 = 3*r, 144*o - 143*o - 71 = -4*r. Calculate the remainder when 2324 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*m + 106*m**2 - 56*m**5 + 0*m - 48*m**2 wrt m.\nAnswer: -3360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a - 27. Let f be l(13). Suppose 5*z = -y + 512, z + 2*y - 135 = -f. List the prime factors of z.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7439 - -7451. What is the highest common divisor of g and 292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -0.1, -2\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13294 - -13294.2. What is the biggest value in c, 29, -38\/7?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2652\/41769 - (-42)\/12*8\/(-98)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 223856 or -2489?\nAnswer: -2489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/4 - 4139*w**4\/2 + 8647879*w**3\/2 - 169820201*w**2 + 1306707441*w\/4 - 322357059\/2 = 0.\nAnswer: 1, 38, 4119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313, 671, 1075, 1531, 2045, 2623?\nAnswer: 3271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/8654 and (((-135)\/441)\/((-4)\/7))\/((-92)\/161).\nAnswer: 69232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i = 5*h - 24, i + 1 = 4*h. Let b(f) = 10*f**2 - f - 37. What is the remainder when b(i) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2712 and 3159254?\nAnswer: 37911048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7702 rounded to 3 dps?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 6*a**2 + 7*a. Let z be g(7). Let n(t) = 2*t**2 + 3*t - 4. Let i be n(2). Let r(c) = -c + 2 - 4 + i. Determine r(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 8 = -2*y, -3 = -3*y + 3*h - 0. Which is the third smallest value? (a) 1\/3 (b) y (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -56. Let h = -20 + p. Suppose h = -8*t - 114 + 10. Which is bigger: -15 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v + 18. Let f(c) = -3*c - 6. Calculate 7*f(w) + 2*i(w).\nAnswer: -w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.29 times 0.1\nAnswer: 0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 2760?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9893 + -0.0393. Let q = -1.94999466 + f. Round q to seven dps.\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*a**2 + 101*a**2 + 104*a**2 - 72*a**2 to the form y + b*a**2 + v*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 5:27 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799083113?\nAnswer: 17, 47004889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 + 2.13. What is the nearest to a in 3, 1\/4, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1\/(-5) - 63\/(-35).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 263 = 259 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/3)*z*z**4\/z)**(-7\/2)*(((z\/z**2)\/z)**(-1\/3))**(-27) assuming z is positive.\nAnswer: z**(-103\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k - 2. Calculate l(6).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 831, 1890, 3377?\nAnswer: 5292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -8. Suppose -5*r + t*r - 5 = 0. Let x be ((-84)\/(-46))\/2 - r. Which is the third smallest value? (a) -0.2 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282 divided by 4210.\nAnswer: 141\/2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5377362 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-218)\/(-327))\/((-1)\/(15\/(-2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131099 >= 131099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 25 - 10 - -6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-141)\/(-893))\/((2 - -4)*3\/24).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 10 = -2*z, -4*r - r + 4*z + 40 = 0. What are the prime factors of (17472\/20)\/r + 16\/(-40)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -649422 divided by -6\nAnswer: 108237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(-4 + (-3 + sqrt(125)*-1 + 3)**2*-2).\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -351.374909 + -0.035091. Let f = 0.59 - x. Let m = f + -377.3. Round m to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/4 (b) -1\/17 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from ooqw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1)\/p)\/p)\/p)**(-5\/3)\/(p**(-1\/4)*p)**17 assuming p is positive.\nAnswer: p**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 512, 1133, 1756, 2381?\n\"Answer: w**2 + 618*w - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-20))\/((1\/15)\/(10\/6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439891177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*o + 1598 = 0, -5*t - 636 + 3301 = 5*o. Let u be 14 + -33 + 20 - -27. What is the greatest common factor of t and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + n - 1. Let x be 1650\/(-135) - -13 - 4\/(-18). What is b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2054 + 3321. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 0)*-2 + sqrt(117) + (-1 + sqrt(117))*-6 + 4 + 0 + -4*sqrt(832)*1*-6)**2.\nAnswer: 3420*sqrt(13) + 380233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/1344 and -35\/2112.\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1413 + 1?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlj when three letters picked without replacement from {l: 7, z: 2, v: 5, j: 5}.\nAnswer: 175\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(55\/6)*10\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -483.882 - -483. Let j = 4.357 + f. What is j rounded to one decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 267 + -265. Let v(f) = f**2. Let p(y) = -1. Let w(g) = 3*p(g) - v(g). Let j(x) be the first derivative of -x**3\/3 - 2*x + 1. Calculate t*w(a) - 3*j(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11040200 or -11040185?\nAnswer: -11040185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5 + 4 = 0. Solve 0 = 3*z - 0 - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 222?\nAnswer: 222.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 1 - 8*l**3 - 262*l**3 - 41 wrt l.\nAnswer: -810*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 294992\/9 or 32776?\nAnswer: 294992\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 8. Suppose 15 = 5*r + 5*o, -o + 9 = 2*r + 2. Let t = v + r. Solve -t*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3883001 (base 10) in base 13?\nAnswer: -a5c545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -155*j + 109*j + 239292. Does 36 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 155 by 6293.\nAnswer: 5\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -17*y + 4*y**2 - 12*y**2 - 9*y**2 - 11 + 11*y**3 + 3. Let a(r) be the first derivative of r**4 - 2*r**3 - 3*r**2 - 3*r - 6. Give -17*a(b) + 6*p(b).\nAnswer: -2*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13\/4 - (-3 + -1))\/(-1). Which is bigger: -7 or w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11568688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k*z**2 - 1538*k*z + 292*z**5 + z**3 - 7*z wrt z?\nAnswer: -18*k + 5840*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 18*u - 26. Let q be j(-15). Suppose -11*v - 10696 = -q*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 120, 149, 198, 273, 380, 525, 714?\n\"Answer: j**3 + 4*j**2 + 10*j + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -541 + 2052. What are the prime factors of f?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-1 + 5 + -4). Let n be 1 + (m - 5) + 4. Solve -h + 5 = n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g + 57 = -24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28618 + 30685. Calculate the greatest common divisor of 663 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 6*v - 3. Let k = 0 - 5. Let g be d(k). Suppose -o - g = -2*o. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8813 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18809*l - 96118*l + 790 - 1558 + 768.\nAnswer: -77309*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m - 2. Give u(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/690 and -35\/12.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - -67. Let p = -184 + n. Let q = p + 59.5. What is q rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9001007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 435779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 174\/21 - (2 - 8)\/(90\/(-120)). Which is the fourth biggest value? (a) -23\/4 (b) -4\/11 (c) 1\/3 (d) 1\/5 (e) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, i: 7}. Give prob of sequence ggg.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9359 and 318206.\nAnswer: 318206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37.31 + 38. Let n = 1.69 - u. Let l be (-1)\/(2*(-2)\/4). What is the nearest to l in n, 1\/4, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3436773 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-46)\/230)\/((-10)\/(-6) - (28 - 26)). Factor -n*x - 2\/5*x**2 + 3\/5*x**3 + 2\/5.\nAnswer: (x - 1)*(x + 1)*(3*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*b**2 - 16*b**6 - 32*b**6 - 102 + 102 wrt b?\nAnswer: -5760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10738 or 10737?\nAnswer: 10737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 - (0 - 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 224758989 divided by -39\nAnswer: -5763051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:40 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -750831, -750835, -750839?\n\"Answer: -4*t - 750827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cc0 + -3?\nAnswer: cbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 705.\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + -14 + 2 - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 571282 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 + -1.1.\nAnswer: -74.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 112.971 times 0.5\nAnswer: 56.4855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -3\/5 (c) 1\/2 (d) 0.078 (e) 1.45363\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -43*c**2 + 223*c - 9. What is y(5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 6*m + 11*m + 11*m.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64668 - 646669\/10. Let 1\/10*q**4 + 0 + 0*q + h*q**2 + 6\/5*q**3 = 0. What is q?\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**4 + 188*i**3 + 2424*i**2 + 7312*i + 6496 = 0.\nAnswer: -7, -2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(15\/1))\/(-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 585 divided by -6\nAnswer: -195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -6*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 0.15 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 810059 + 52?\nAnswer: 8100ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148973 is divided by 632.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p - 1237 = -0*c + 2*c - 977, -5*p = -4*c - 23 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110001001010010010111 (base 2) in base 16?\nAnswer: -989497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a factor of 11704102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 388*l + 197*l - 1114*l - 1188*l + (3 - 4 + 0)*((3 + 1 - 3)*(5*l - 4*l - 2*l) + 2 - l - 2 - 2*l + 0*l + 5*l).\nAnswer: -1718*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(136)*1)\/(-2*sqrt(1152)))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 5 - 5)*(-3*z + z + 4*z) - z**2 + 0*z**2 + 4*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -41*a**2. Let x(m) = -m + 1. Suppose 29 - 17 = 2*q - 5*z, -4*q + 14 = -5*z. Let r(s) = 4. Let y(k) = q*r(k) - 4*x(k). Determine y(c(u)).\nAnswer: -164*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r**2 + 5*r - 1. What is b(-3)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 6\/5 (b) -1\/4 (c) -2\/3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 4 - -9) + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21022, 41354, 61684, 82012, 102338, 122662, 142984?\n\"Answer: -d**2 + 20335*d + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 5*j - 2. Let x be f(-3). Suppose -4*r = -3*k - 13, -4*r + 8 = -r - x*k. Solve 0 = 5*z - 5*m, -m - 3*m + 24 = r*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 5*g, -w + 5892*g + 97 = 5897*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zztt when four letters picked without replacement from zztzzzzztzzzz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**4 + 44*w**3 + 29*w + 11*w**4 - 44*w**3 wrt w.\nAnswer: 168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w**(-1)*w)\/w)\/w)**1*(((w**4*w*w)\/w)\/w*w)\/(w\/(w*w**3*w)) assuming w is positive.\nAnswer: w**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {d: 3, i: 7}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3640 and 322406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 114\/(-4)*(-4)\/6. Solve 4*x - 23 = -m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9, 0, -15, -36, -63, -96, -135?\n\"Answer: -3*r**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 - 45.3. Let v = a + -6.7. Are -117 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59012, -59024, -59040, -59060, -59084, -59112?\nAnswer: -59144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8196851.\nAnswer: 13, 337, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.082 * -0.4\nAnswer: 0.0328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w - 6. Let n(l) = 4*l - 5. Let p = 10 - 20. Let z = -4 - p. What is z*d(c) - 7*n(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1102150378 to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 882 - 794 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -15*p - 60. Let q(z) = 46*z + 180. Let g(m) = 11*a(m) + 4*q(m). Let x be g(-18). Let d = x + 409. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-1))\/11)\/(1\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -56*t**3 + 7*t**2 + 23*t + 40. Let g be u(20). Round g to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152268058 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**5\/9 + 992*l**4\/9 - 540*l**3.\nAnswer: -4*l**3*(l - 243)*(l - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 41\/(((-155)\/533)\/5). Let v = -705 - y. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.8 - -2.8. Let q = -141 - -150. Let d = q + r. Which is bigger: 0.2 or d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 172 - 161 + 3*w**2)*(3 + 0 - 1)*(-3 + 3 - 4).\nAnswer: -8*w**2 - 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 9*u - g = -7, -4*g = -2*u + 14. Solve -u = -4*l + 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*v - 7 = 0, o - 2*v + 19 = -0*o. Calculate the common denominator of 31*(-2 + 1)\/o and -31\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8072.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/((z\/(z\/(z*z**(-2\/17))))\/z))**(-35) assuming z is positive.\nAnswer: z**(-805\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -20*r**2 + 172*r - 6. Give v(8).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 15*c + 539*c**3 - 175*c**3 - 179*c**3 - 175*c**3 - 26*c**2.\nAnswer: 5*c*(c - 1)*(2*c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 0.1?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -19) + 1 + 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16794 is divided by 442?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (5251202\/(-10))\/(-11) - 18\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 42*y**3 + 4 - y - 2 - y**2 - 1. Suppose -5*d + 4 = -1. What is the remainder when s(d) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 33*c - 4*c + 13)*(-c - 4 + 4).\nAnswer: -29*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-15))\/(2\/40*-2). Let a = -1 - 4. Let h be (a + 26)*p\/(-3). What is the greatest common divisor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d + 1. Let m(l) be the third derivative of -3*l**4\/8 - l**3\/2 - 210*l**2. Give 2*m(k) + 5*r(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*c**2 - 78*c**2 + 213*c**2.\nAnswer: 310*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 + 18*w**2 + 2*w**4 + 2 - 3 - 7*w**2 to q*w**2 + k*w**3 + m*w**4 + z*w + r and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 549203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**4\/6 + 17*h**3\/2 - 647*h**2\/6 + 715*h\/2 - 775\/3 = 0. Calculate h.\nAnswer: -62, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:09 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3670497 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 78. What are the prime factors of k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 49\/5. Let z = -1.8 - -0.8. Let s = -1124\/63 + 128\/7. What is the nearest to z in u, 1\/7, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -566601 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**5 + 750*u**4 + 10158*u**3 + 26268*u**2 - 60459*u - 77322 = 0.\nAnswer: -7, -1, 2, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 c, and 2 g when four letters picked without replacement from ggygrygcgglgxgr.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-561)\/(-51)*(-7 - (0 - 0)). Let q = 56 + c. Sort 0.2, -5, 0, q in decreasing order.\nAnswer: 0.2, 0, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(2) + sqrt(8)))\/(sqrt(42)\/(sqrt(36)\/sqrt(6) - sqrt(6) - sqrt(6))).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13566 and 703689.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v + 42*v = -18. Suppose i - 154 = -4*y, 0 = v*i - 13*i - 5*y - 770. What is the highest common factor of i and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t - 25. Let u be b(-10). Let h(w) = w + u - 6*w**2 + 11*w**2 + 8*w - 2*w + w**3. What is h(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - m - 3)*(-911 - 1691 - 285) to r + f*m and give f.\nAnswer: 2887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-25)*l)\/l*l**(-3\/5)*l)\/(l*l\/l**13*l)**(-2\/11) assuming l is positive.\nAnswer: l**(-1453\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/8)*t**(-1\/10)*(t\/(t*t**(1\/5)*t*t*t))\/(t*t\/t**(1\/11)*t)*(t**(-4)*t**(2\/37)\/t)\/(((t**(-1\/8)\/t)\/t*t)\/t*t\/(t*t*t**2)) assuming t is positive.\nAnswer: t**(-52137\/8140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -385 and -0.2.\nAnswer: -385.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**2 + 6*y**3 - 2*y**2 + 4 - 10*y**3. Let d(g) = g - 12. Let o be d(6). Let i(s) = s**3 - 1. Calculate o*i(x) - w(x).\nAnswer: -2*x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530*g - 1064*g + 191*g**2 + 534*g.\nAnswer: 191*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 9:33 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*p - 2*p, -2*w + 16 = -4*p. Let a be 2 + 5\/((-5)\/w). Let o(f) = 5*f**2 + 4*f + 3. Is o(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-2)\/(-10)*10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0182 + 2.0182. Which is the smallest value? (a) o (b) 6\/7 (c) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 136896825725 + -136896818799.0004351. Let q = 6926 - p. Round q to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -33 (b) 1\/6 (c) 122.42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 16 + 23. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*k**4 + 11*k**2*s**3 + 35632*k*s**3 wrt k?\nAnswer: 1908*k**2 + 22*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00958834 rounded to five dps?\nAnswer: -0.00959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12 + 32*l + 7*l**3 - 8*l**3 + 0*l**3 + 8 + 11*l**2. List the prime factors of u(11).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.56 - -0.56000232. What is s rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 69, -2, 3, 4, 10 in ascending order.\nAnswer: -2, 2, 3, 4, 6, 10, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/310 and -91\/1343416?\nAnswer: 6717080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a microgram in nanograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/6 + (-20)\/30. Let r = -927 - -924. What is the closest to 1\/11 in 0.1, a, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022 - 2?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -712*r**2*y**2 + r*y**3 + 1017*y**3 wrt r.\nAnswer: -1424*r*y**2 + y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by 51.\nAnswer: -28\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -789 - -791. Suppose 0*i + 5*f + 5 = 3*i, 16 = 4*i - j*f. Solve -4*w + 2*u = 20, 0*w = -w - 5*u - i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2261 and 668819.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -9.85 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 15*r - 4 - 36. Solve 5*u - r*y = 0, 272*u = 276*u - y + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51 + 3680.\nAnswer: 3629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + c + 1 - 19 = 0, -2*l - c = -34. Suppose -3*y + 53 = d, -2*d + 72 + l = 5*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y + 4, 2 = -5*u + 2*y. Let v(z) = -z + 9. Let o be v(4). Let w(c) = c**2 + 87*c - 1082. Let r be w(11). Put o, u, r in descending order.\nAnswer: o, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2*j - j)*(-j - 4*j**3 + j).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -22. Let r = f + 26. Let s = -3 + r. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 2952?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 9000000 = -5*m. Round m to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(3 - -2)*((-21)\/7 - -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3112 or -3630?\nAnswer: -3112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, g: 2, a: 5, k: 1, f: 1, p: 2}. Give prob of sequence hfhg.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4146 is divided by 204.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110110000101 + 1101001?\nAnswer: 1011110111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 78*q**5\/7 - 633*q**4\/7 + 930*q**3\/7 + 75*q**2 - 144*q + 108\/7 = 0.\nAnswer: -1, 3\/26, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-12)\/20)\/((-56)\/(-420)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -72. Suppose -f - 2*d = i, 0 = -3*f - 4*d + 2. Let o(c) = -4*c**3 - 3*c**2 - 2*c. Let n be o(-2). What is the greatest common factor of f and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-81)\/(-16))\/((-15)\/650). Let r = l - -219. Is r > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905273 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 3*m - 21, 2*m + 18 = -y + 5*y. Suppose y - 42 = -v. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 442769\/16 + -27667. Calculate the common denominator of l and 22\/139.\nAnswer: 2224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 4*m + 3. Let c be h(2). Suppose -2*k - 25 = -5*t, 2*t + c*k + 0 - 10 = 0. Solve -i - 2*d - 8 = -t*i, -5*i + 16 = -4*d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(m - m - m)*(-44*m + 18*m + 14*m) in the form y*m + p + r*m**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 11*m - 7. Let q(r) = -r**2 - 10*r - 6. Let k(b) = -7*q(b) + 6*s(b). Let h(p) = p**3 + 4*p**2 - 3*p + 7. Let z be h(-5). What is k(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 514*r**2 - 5*r.\nAnswer: r*(514*r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 188107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10025 - 10023.6358. What is f rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gev when three letters picked without replacement from vkovvekevkvkksegv.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4059 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 + 12*x - 25. Let u(y) = -4*y**2 + 11*y - 24. Let p(m) = 5*r(m) - 6*u(m). Let w be p(-8). Solve 0*c = -4*n - 5*c - 17, 3*c = 2*n + w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 69*n\/7 - 76\/7.\nAnswer: (n - 1)*(7*n + 76)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.6, -2\/13, -6, 0.08?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/42)\/(891\/108 + -9). Find s, given that 12\/7*s + 2\/7*s**4 - 12\/7*s**3 + 0 - a*s**2 = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 9 - 5)*(2*t**2 + 0 + 0 + (-1 + 2*t + 1)*(0*t + 3*t - 2*t))*(-2*t**3 - 2*t + 2*t).\nAnswer: 72*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**4\/5 - u**3 + u**2\/5 + u\/5 = 0?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 476312402 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011260918 to five decimal places.\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4956)\/105)\/((-4)\/10). Let u = -116 + i. Factor -a**3 + 9*a**2 - 5*a**2 - 8*a**u.\nAnswer: -a**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jukf when four letters picked without replacement from fkjfusfuffsfkugfk.\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -868535*l**2*m**2*w**2 + l**2*m**2*w + 512*l**2*m**2 - 3*l**2*w**2 - 2*l*m**2*w + m**2*w - m**2 + 8 wrt w?\nAnswer: -1737070*l**2*m**2 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-7)*-2 + (-224)\/784. Let o = 142 + -154. Which is greater: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 6*i**2 - i - 4. Let x be f(-6). Suppose -4*m - z + 3*z + 934 = 0, -697 = -3*m - x*z. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/23)*d*d)**(-17)*d**36\/(d\/d**(2\/67)*d) assuming d is positive.\nAnswer: d**(-27290\/1541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4\/7, 0.042, 35, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 632434736 to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*k + 3*m, -8*k + 2*m + 6 = -5*k. Solve 6*y = 4*x + k*y - 16, 5*x - y = 24 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133461 and 270?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/2, 0.02, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23037 + -23005.024. What is s rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**4 - g**4 + 0*g**4 + (0 + 0 - 2*g**2)*(g**2 - g**2 - g**2))*(-4769 + 2194 + 671)*(g + 3 - 3).\nAnswer: 5712*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 9:31 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2 - 1 + 0*q**2 + 1. Let m(n) = 4*n**2. Determine i(m(c)).\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 51. Solve -b - d = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 21*p**2 - 10*p - 2. Let h be z(7). Suppose 7*v - 36 - 105 = 468. What is the highest common divisor of v and h?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-2)\/6 + 2225\/(-300))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*d + 16403 = -517*d + 128561. What is the remainder when 582 is divided by d?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 3, 5, 4, 0.04, -42?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*q + 18, 2*a + 3 - 1 = 0. Let m be (18\/(-6) - q)*14\/4. Let l(s) = -s**3 + 9*s**2 - 10*s - 1. What is the remainder when 105 is divided by l(m)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14645 divided by -2929\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a64 (base 15) to base 9.\nAnswer: 38554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 745\/12 or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 24*v**2 - 22*v + 26. Suppose 2*x + 3*r = 5*x + 72, -5*r = 5*x + 110. Let l be q(x). Solve 2*n = n + l*h - 17, 5*h - 30 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**2 + 4*y. Let s(t) = -14*t**2 + 12*t. Let p(h) = -11*l(h) + 4*s(h). Determine v so that p(v) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 2 - (-9)\/(-8). Let p = -805.98 + 806. Which is the second smallest value? (a) p (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539071611.\nAnswer: 3, 13, 37, 397, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3 - 17. Let o be ((-13728)\/(-306))\/13 + 4\/(-34). Is o greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0124025 * -2\nAnswer: -0.024805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.11 - -0.11. Let j = -3 - y. Let o = 2.8 + -3. Is o at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t + 39*t = 13*t + 1060 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 395.7984 micrometers?\nAnswer: 0.0000003957984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12003030132 (base 4) to base 6\nAnswer: -53554210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805971 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**4\/2 + p**3\/6 - 4*p**2 - 1076. Let q(z) = -20*z**2 - z. Determine q(u(v)).\nAnswer: -2880*v**2 - 492*v - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34505.295 + -34415. Let n = r + -90. Let k = 0.3212 - n. What is k rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 10*t + 45 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3812.9 - -3813. Do 0.009 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2058739 is divided by 257342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daaamwmqqdmdaaq. Give prob of sequence qqqw.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142014, 4, 2, -2 in decreasing order.\nAnswer: 4, 2, -2, -142014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 2)\/3 - -1. Suppose -2*l - v*q = 2*q - 10, 3*q = 12. Let w(u) = 2*u. What is w(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.6. Let q = 51 + -45. Let r be (-1)\/(q\/2) + (-26)\/(-6). Which is the third biggest value? (a) r (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 - 70*w - 49 - 46)*(9*w**2 - 43 + 43)*(3 - 1 + 0).\nAnswer: -1260*w**3 + 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 6*q - 2. Let p be f(5). Let g = -1 - p. Suppose -g*j = -2*j - 192. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmbmbm. What is prob of sequence mbb?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 40 = -334. Let t = 165 - f. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7128, 7134, 7140?\nAnswer: 7146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from wwngtntttlntw.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = 15*g - 124*g. Solve -g = -2*p + 3*k, -p - 31 + 32 = -5*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -674 = -32*i + 271 - 49. Solve i - 4 = -4*b, 21 = 5*g - b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 33702.2?\nAnswer: 33706.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 1. Let s(a) = -15*a. Give -s(q) - 3*u(q).\nAnswer: 18*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = s - 3*s + 9, -5*f = -3*s - 34. Suppose 0 = -4*h - 20, 7*h - 3*h + 4 = 4*v. What is the biggest value in f, -0.6, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330131 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5946*n**4 - 5*n**3 + 74500.\nAnswer: -23784*n**3 - 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -395182?\nAnswer: -395182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -116 in -16, -1\/2, -2, 12, -0.3, 1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74.11 - -78. Let k = n + 0.11. Let z = -288 - -287. What is the closest to z in k, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 17*q + 16*q - 7*q + 6*q + 15*q.\nAnswer: 38*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16304 divided by -1.\nAnswer: 16304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 2\/9*a**3 - 48 + 2\/15*a**5 + 0*a - 1\/36*a**6 - 1\/12*a**2 - 1\/4*a**4. Suppose h(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**5\/20 + 25*s**4\/12 - 4*s**3\/3 - 55*s**2\/2 + 33*s. What is the tens digit of h(-23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (9 - 0)) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 8*w**2 + 6*w + 4. Let r be z(7). Suppose 90 = 2925*q - 2930*q. Sort q, r, 3 in increasing order.\nAnswer: q, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1 + 1 + 4 + 3*o + 4. Let g be v(6). Let b = g + -14. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z = 4. Let b(p) = 28*p**2 + 4*p + 1. Let h(l) = -28*l**2 - 5*l - 1. Let k(r) = 5*b(r) + 4*h(r). Give k(z).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (3 + 1 + sqrt(7) - sqrt(7)) - (2*sqrt(448))**2.\nAnswer: -1796 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6701, 6455, 6049, 5483, 4757, 3871?\n\"Answer: -80*s**2 - 6*s + 6787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 900 and 275?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*s + 258*s**2 - 135*s**2 - 134*s**2 + 8.\nAnswer: -11*s**2 - 154*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 - 6)*(39*r**2 - 239*r - 120*r**2 + 80*r**2).\nAnswer: -4*r**2 - 956*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 8*i**2 + 0*i - 1\/12*i**4 + 0*i**3 + 0. Let w(b) = -b**2. Determine w(s(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 125)\/4 + 2. Let w = h + -35. Let k be (-78)\/(-16)*w*-8. Calculate the greatest common divisor of k and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1466 - -406. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352439573?\nAnswer: 352439573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 0*d - 2*d - 58 - 5*d - 3*d. Let t be l(-6). Solve -t*z + 6*z = -16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 24*x + 275. Let w(a) be the second derivative of -13*a**3\/6 - 68*a**2 + 89*a. Let n(r) = -6*p(r) - 11*w(r). What is the derivative of n(h) wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-3))\/(50\/(-210)). Let t = q + 51\/10. Let b = 2 + -2. Which is smaller: t or b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -3)*(-96)\/64?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3984*g = 3936*g. Solve g = -3*n - 2*z + 5, 9*n - 5*z + 38 = 8*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 871?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 229.7 - 232.7. Which is the second smallest value? (a) 102 (b) x (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*d = 759, 1850 = -3*u + 5*d - 447. Put u, 3, -3 in descending order.\nAnswer: 3, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 + 2*j. Let i be d(2). Let l be (-5 - (i + 1)) + 11. Suppose -6 = -3*r - 3*b, -19 = -r - 4*r + 4*b. Solve -r*g - l = 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*39\/3*(-1086)\/(-2353)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12566*j**3*w**3 - 18107443*j**3 + 2*j**2*w**2 - 5*j**2 + 2*j + 6089*w**3 wrt w.\nAnswer: 75396*j**3 + 36534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (-2 - (-1 - (2 - -13)))) + (91 - -5).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**(1\/5))**(23\/4) assuming p is positive.\nAnswer: p**(-69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 17. Let h be v(7). Suppose 3*i = -2*i + h. Solve 1 = -i*p + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 5027?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 15 = 4*y - 3*y, -373 + 233 = -14*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1390, 1, -124, -5 in decreasing order.\nAnswer: 1, -3\/5, -5, -124, -1390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.008.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 9 = -3*g, 0*z + 2*g - 14 = -3*z. Suppose -3*m = z*x - 942, -3*x + 970 = 3*m + 262. Is 39 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 14 (c) 3 (d) -7.97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/43818 - -551668607\/569634. Let d = v + -968. Which is the nearest to -1? (a) d (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18978 divided by -426?\nAnswer: -3163\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*h + 6. Let g be (-22)\/(-8) + h\/32. Solve 4*b + 11 = t, g*b + 15 = -2*b + t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724768 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1374*r - 6857. What is w(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -65*l**4 - 5*l - 200. Let k(g) = -33*g**4 - 2*g - 100. Let w(c) = -2*a(c) + 5*k(c). What is the first derivative of w(j) wrt j?\nAnswer: -140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q - 18. Let x be n(4). List the prime factors of (8\/8 - (-2)\/x) + 549.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q - 0*q - 16. Put -3, q, 123 in increasing order.\nAnswer: q, -3, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f - 1267 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25379207.3703 and 0.173.\nAnswer: -25379207.1973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74426874 divided by -6.\nAnswer: 12404479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 2 - -2 - (-5 - -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 865130 and 16745?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 - 40*o**2 + 15776*o = 0. Calculate o.\nAnswer: -68, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 5*o**2 - 6. Let i be j(-5). Let q = i + 1. Sort 4, -2, q in descending order.\nAnswer: 4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -1. Let o(i) be the second derivative of 1\/6*i**3 + 0 - i**2 - 123*i. Calculate -o(w) - 2*y(w).\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 129*b + 914. What is n(-120)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41837850 divided by -464865?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 - -58.8. Which is the closest to 0.1? (a) -2\/15 (b) k (c) -1\/6 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-17)\/4)\/((-11)\/44). Suppose 21*z = i*z. Suppose 2*q + 578864 = -4*g - 621140, 5*q + 4*g + 3000004 = z. Round q to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 818 and 6411893?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(110\/2)*2\/(-3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1303? (a) -5 (b) 2 (c) 1\/6 (d) -0.0268\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 13*g**2 + 25*g + 157. Determine n(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/(20\/(-200)). Suppose -b*k - 15 = -6*k. What is the least common multiple of k and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3350, -3368, -3412, -3494, -3626, -3820, -4088, -4442?\n\"Answer: -2*d**3 - d**2 - d - 3346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*f - 61*f - 3108. Is f less than or equal to -259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18536299?\nAnswer: 193, 96043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1 + 2 + 1 + 15*t - 14*t. Let f(g) = -g**3 + g + 2. Let h be f(2). Let p = h + 6. Determine k(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**5\/60 - 9561*q**2. Let u(o) = -8*o - 11. Give u(g(k)).\nAnswer: 8*k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millisecond in nanoseconds?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -18. Put s, 4, -4 in descending order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 + 1)*(107 - 10115*t - 220 + 114) in the form w*t + n and give w.\nAnswer: -50575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-1 + (3 - 5) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-39999)\/(-469) - -2*(5 + (-360)\/70)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 435791\/5 (c) -1\/2 (d) -1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gddd when four letters picked without replacement from {d: 12, g: 7}.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*n + 3908 + 18754 = 3066*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3822.7401 rounded to the nearest one hundred?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2354 divided by -6?\nAnswer: 1177\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -249*p - 80. Is n(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/8*-12*(-24)\/(-432)?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 22 = 5*f, -3*q = -2*q + 2. Suppose j + f*j = 0. What is the tens digit of (22 + j)\/(1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 + 3 + (-2 - 1 + 2)*(-2 - 3 + 4))*(1 + 0 - u + 0) to the form j*u + d and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 5*x**2 + 4*x + 12. Let r be d(-5). List the prime factors of (-80)\/(-32)*r\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-18 - -11)) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 1. Let p(f) = 18*f**2 - 4. Give 2*n(u) + p(u).\nAnswer: 16*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-1367\nAnswer: -1366.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/7)*l)\/l**7)**(-2\/29)*(l**(-1)\/(l**(-5\/4)\/l*l))**(-3\/34) assuming l is positive.\nAnswer: l**(9727\/27608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00150207 rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763.652 decades to months.\nAnswer: 91638.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*d**3 - 148*d**4 + 286*d**4 - 142*d**4)*(1 - 8 - 4).\nAnswer: 44*d**4 - 154*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2, -58?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 + 5*l**2 + 10*l**2 + 3*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 505992588 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*a - 191, -2*f = -f + 4*a + 163. Let b = f + 329. What is the highest common divisor of b and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2122 divided by -2\nAnswer: -1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1431 + -12154442?\nAnswer: -12156203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 7:28 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62460 = -5*t - 2*g, 5*g = -689*t + 693*t - 50001. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**7\/56 + s**6\/20 + 3*s**5\/80 + 20*s. Factor h(d).\nAnswer: 3*d**3*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -2*x**6\/15 + 2*x**5\/5 - 4*x**3\/3 + 2*x**2 - 7*x + 31. Let f(a) be the first derivative of g(a). Factor f(l).\nAnswer: -4*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -15*f + 9. Let g(y) = -y + 2. What is -4*g(m) + s(m)?\nAnswer: -11*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*g**3*k*u + 3*g**3*k - 12161*g**3*u + 1626*g**2*k*u - 7*g**2*k - 60*k wrt g?\nAnswer: 144*k*u + 18*k - 72966*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.791? (a) 0.031 (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -54244 to the nearest 1000.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 438 + -18?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 202.6 + -202.5. Which is the closest to -2? (a) w (b) -75 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*v + 768*v - 2010*v.\nAnswer: -1338*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4357?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*g + 25465 - 5068 = 1450 - 27337 for g.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 17. Let f = 4 - 3. Sort 2\/5, w, f in decreasing order.\nAnswer: f, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21\/26 - 395\/702. Let k = -2980\/9 + 8911\/27. What is the common denominator of k and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020251 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + f + 51 = 0, -10*q + 9*q - f - 19 = 0. What is the units digit of (-14 - q)\/((-2)\/(-56))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (6*3*sqrt(99) - sqrt(99))) + ((sqrt(99)*1 - sqrt(99))*5 - sqrt(99)))\/(sqrt(36)\/(sqrt(32)\/sqrt(2))*-2).\nAnswer: 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 275a67 + 2?\nAnswer: 275a69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = -4. Suppose 29 + 27 = w*i. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120100222 - -11?\nAnswer: 11120101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201, 199, 201, 213, 241, 291, 369?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -p - 4*p. Let j be 1\/((-1)\/p) + 19. Suppose 3*z - 4*y - 139 = 0, -2*z + j = -2*y - 75. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866803408 to the power of 1\/4, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 518 and 32886?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u. Let t = 3 + u. Let y(q) = -q**3 + 3*q**2 + 5*q - 2. What are the prime factors of y(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4783*c**4*g**2 + 8*c**4 - c**3*g**2 - 3*c**2*g**2 + 173*c*g**2 - 22*c + 3*g**2 wrt c?\nAnswer: 114792*c*g**2 + 192*c - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-52)\/(-6))\/((-5)\/30). Let k be f\/(-6) + 4\/12. Solve -5*m = -4*d - 2 - k, d + 9 = -5*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from {t: 1, p: 1, i: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-92)\/14 + 4)\/(6\/(-196)). Let x be 4*(-6)\/q + (-450)\/(-7). Let p = 71 - x. Calculate the remainder when 20 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1196, 10054, 34216, 81332, 159052, 275026, 436904, 652336?\n\"Answer: 1275*o**3 + 2*o**2 - 73*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 7. Let r be g(10). Solve r*a + 3*d = 2*a - 14, -3*d - 15 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**2 - 28219*u - 22572 = 0.\nAnswer: -5643, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 18 = 2*r, -3*m - m - 4*r = 4. Solve m*q + 5*u + 5 = 8*q, -5*u = 2*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 - -50. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15336092 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*o**3 - 19*o**3 + 33*o**3.\nAnswer: -56*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*3447\nAnswer: -689.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7\/4 (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 88\/(-30) - ((-27888)\/(-420) - 66)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -2. Suppose 9*g - 10*g - 2*k - 1 = 0, 0 = -5*g - 3*k + 2. Is g greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -54. Suppose 0*w = 2*w. Suppose 0 = -w*h - 3*h. What is the second smallest value in h, 3\/4, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p**3\/9 + 656*p**2\/3 - 1144*p\/9 - 640 = 0. What is p?\nAnswer: -90, -16\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 3. Let l = -50 + 77. Calculate the remainder when l is divided by f(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/14 and 59\/893844?\nAnswer: 893844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*x)*(2*x + 1 - 1) - 1 - 1 + 13*x**2 + 504*x - 506*x + (2*x + 9 - 9)*(0 + 1 + 0 + x).\nAnswer: 9*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 103935487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 4*f**2 + 3*f - 4. Let v be 30\/(-50) + ((-28)\/20 - 1). Give o(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56780 and 55.\nAnswer: 624580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -14. Suppose z = -8*s + 239 + 121. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3857*h**2 + 57842*h + 169. What is f(15)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 8, k: 10}. Give prob of sequence kkk.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 9408135\nAnswer: -1\/3136045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*m + m - 1, 0 = 2*m - 4*p - 4. Suppose -8 = -m*f, -f = -2*j + f - 2. Solve -j + 9 = -2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -244.9 - -1196.\nAnswer: 951.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 725747 - -12118279. Let i = k + -12844008.900073. Let n = i - 17.1. Round n to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 833646 is divided by 833634?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1125 - 1143 = 20*r - 2248 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 173 = -w - 34, 0 = -5*w + f + 725. Calculate the smallest common multiple of w and 12.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89\/296 + 12\/37. Which is greater: 3\/2 or v?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 + 6*c + 2. Let s be j(-5). Suppose -8*a = -5*a - s. Is a a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -5*k - 45 + 85, 5*h - 5*k + 10 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 12:41 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22677575, -45355148, -68032721, -90710294?\n\"Answer: -22677573*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 55\/1842, -0.1, -219, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 = -f. Suppose f*c - 18 - 48 = 2*j, 93 = 5*c + j. Suppose -c*a + 24 = -15*a. Calculate the remainder when a is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -25*j - 1946. Let w be o(-78). Suppose 8 = a + 1. Sort w, -6, a, 1 in decreasing order.\nAnswer: a, w, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*s - 6 = 0, 8 = -s + 11. Which is smaller: j or 23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 11*b**2 - 36*b - 50. What is x(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(960)*-2)\/sqrt(6)*3)\/((sqrt(60) + sqrt(7260)*1)\/((sqrt(72) + (sqrt(72) - (sqrt(72) - sqrt(72)*-2 - sqrt(72))))\/sqrt(6) + sqrt(12))).\nAnswer: -7*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -23. Let v be ((-11)\/6 - -1) + 29 + -28. Let y be ((-2)\/6)\/((-5)\/6). Which is the closest to 2\/7? (a) y (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/(-171))\/(2\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -1)*10\/3. Let i be ((-8)\/g)\/(-4 - 58). Let j = 789\/1085 - i. Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0 + 0*t**5 + 0*t**2 + 4*t + 0*t**4 - 1\/6*t**3 + 0*t**6 + 5\/21*t**7. Find the second derivative of q(b) wrt b.\nAnswer: 200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = t - 5*t. Solve -2*i - 7 = -k + 1, -i = -t*k - 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -40\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -3383.\nAnswer: -41\/3383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/43)*a)**(-2\/151)\/(a*a**(-6))**(-6) assuming a is positive.\nAnswer: a**(-194880\/6493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106867 or -232?\nAnswer: 106867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*30*(-28858)\/470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-1)\/((-9)\/(-144)))\/(24\/12)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -9*t + 12. Suppose -1274 = -2*s - t*b - b, 5*b - 2563 = -4*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4135350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -d + 3*s + 166, 0 = 5*d + 4*s - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2)*u**13*(u\/u**(-1)*u)**(-41))**(2\/67))**4 assuming u is positive.\nAnswer: u**(-888\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 214992079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2053*z + 2032*z + 336 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2982020 and 15560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 + 1149*d - 3429. Let n(l) = 11*l**2 - 3448*l + 10275. Let r(p) = -10*a(p) - 3*n(p). Determine m so that r(m) = 0.\nAnswer: -385, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 + 2*r**2 + 0*r**2)*(-2 - 595*r + 120*r - 511*r) as o*r**3 + c*r**2 + y + a*r and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f = -4. Suppose -2*t - 100 = f*t. Let z be (30\/t)\/(6\/(-20)). Solve 6*v = 7*v + 2*l - 5, 2*v - z*l = -30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = b - 4808, 3607 = 3*a + 4*b - 3*b. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 1, -1.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/40*1104\/1610.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 + -59. Suppose 0 = -5*f - 4*u + 29, f = 5*f - 2*u - 18. Solve -g*d + f*s = -2, -5*d + 2*s - 2 = 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190950?\nAnswer: 2, 3, 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:00 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10853133197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -158*r - 4. Let q(b) be the first derivative of -b**2\/2 + 1973. Determine q(o(g)).\nAnswer: 158*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (-25 + 42)) + 24.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 2, e: 1, j: 2}. What is prob of picking 1 j and 1 a?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-21) - (-112)\/84?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1 + z)*(z - 4*z + z) + 2*z**2 - z**2 - 9*z**2 + 2*z**2 - 6*z**2 + 5*z**2 to the form s + d*z**2 + u*z and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z - 1. Let x be a(1). Suppose -w + x + 17 = 0. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 + (-5 - -17) + 39\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*v**3 + 83 - 41*v**3 - 81 - 2*v**2 to j*v**2 + q*v**3 + c*v + s and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 11*k**5 + 393*k**4 - 515*k**3 + 111*k**2 = 0?\nAnswer: -37, 0, 3\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y - 3. Let h be x(6). Let z = h + -15. Suppose -l - t - 1 = 0, -l = -z*l - 4*t. Solve -l = 4*w - 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1)\/(-3)*(-280)\/112?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**6\/120 + d**5\/12 - d**4\/12 - d**3\/3 - 7*d**2. Let v be k(4). Let x = 3 + 4. Which is greater: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 4*w + 2. Let h be r(4). Suppose 3 = -3*f + 9. Let s be f\/(-7) + 216\/21. What is the highest common factor of s and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-250)\/(-3750))\/(-1 - ((-2981)\/2979 - 0)). Do 98 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 8*m**2 - 18*m + 53. Is b(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18bb7 + -37?\nAnswer: -18bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4986100 = -55*b + 62*b. What is b rounded to the nearest 10000?\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 11*b - 30. Let i be y(14). Solve 4*m + i = -8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6483009367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*g - 5*t, 2*g + t - 16 = 6*t. Let j be g\/16*-20*8\/10. Suppose -j*p = -0 + 20. Let b(l) = -l**2 - 10*l + 2. What is b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2565 is divided by 165?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 3, n: 1, s: 1, y: 4, m: 1, f: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(26)\/sqrt(2))**2 + (0 + sqrt(13) - sqrt(13)) + -4) + -2.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3185842 and 88.\nAnswer: 12743368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a - 11. Let x be q(-6). Let y be 40\/x + 4 + 6. Suppose -2*o - y*c = -38 - 10, -72 = -4*o + 2*c. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 170.3 + -170.1. Let k = -0.3 - -0.2. Let n = 0.2 + k. Which is the second smallest value? (a) w (b) n (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*k**3 - 405*k**3 - k + k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i - 4 + 1 + 8*i. Let b be m(3). Suppose 4*v = 5*u + b, 5 = 4*v + 2*u - 3. Calculate the lowest common multiple of 12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 2 - (-4 + 6 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, n: 7}. What is prob of sequence nnzn?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30764.61 + -30900. Round q to 0 dps.\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -461*f**2*i**2 + 2*f**2*i - f*i**2 + 11043*f wrt f?\nAnswer: -922*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/1 - 4) + 6. Suppose i = 24*y - 81 + 9. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42.8 + 42. Let x = 1 + q. Let y = -0.23 - 0.07. Which is the nearest to -2? (a) y (b) -3\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - 6. Let w = 71 + y. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 - 221*m + 20455. Calculate t(60).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 9*t - 20. Let v be f(-8). Let n be (-1)\/(-4)*v*(-4)\/(-8). Which is the closest to -0.1? (a) n (b) -0.4 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203066.\nAnswer: 2, 101533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/5)\/6)\/((-1)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + 5802\/(-90). Let n = o + 65. What is the closest to 2 in 1, n, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14620*o**5*y**2 + 5*o**3 - o**2 - o*y + 235*y**2 - y - 215 wrt o?\nAnswer: 877200*o**2*y**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 - -2) + 1436 + -1402 - 66.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 20 + 5*r**4 + (-5 + 5 - r**2)*(2 + r**2 - 2) - 3*r**4 + r**2 - r**2 + (r**4 + 2*r**2 - 2*r**2)*(4 - 1 - 2) - 23 - r**4 + 23.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 59?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1876718*d - 13*d**2 - 1876718*d.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, 4, 114, 3, 5, 2 in descending order.\nAnswer: 114, 16, 5, 4, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661035956277 + 661035956277 + 88*d**3.\nAnswer: 88*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22558 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7 = -r - 2*r, 4*p + 3*r = -13. List the prime factors of p + (513 - 3) + 8 + -4.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a34 + 1a94?\nAnswer: 3a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 take away -3328857438?\nAnswer: 3328856882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4714104 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 11:25 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {s: 9, l: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*n**2 + 935*n**2 - 6*n**3 - 332*n**2.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -371*c - 1316*c**2 + 130*c - 26 + 135*c + 130*c wrt c?\nAnswer: -2632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31667081 a multiple of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 25*i = 30*i + 50, r + 0*i - 54 = 7*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 10:19 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s + 8. Determine j(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1386773 or -9707412\/7?\nAnswer: -1386773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/3)\/((-3)\/45). Suppose -38 = v*z - 118. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -0.2, -11\/12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/4)\/(21\/84)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899.7059cm to meters.\nAnswer: 8.997059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 25 = -13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 20?\nAnswer: -23\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 841786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 11*l + 9. Let p be b(-6). Suppose -p*x + 0*y = -2*y - 2, y = -4*x + 10. Let w(m) = x*m - 3*m + m - 7*m. Let i(j) = 7*j. Give w(i(k)).\nAnswer: -49*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p*(p\/p**(-4\/5))\/p)**(-1\/10) assuming p is positive.\nAnswer: p**(11\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 4*q**2 - 4. Let f(t) = 3*t**3 + 9*t**2 - 9. Let m(h) = h**2 - h - 7. Let l be m(4). Suppose 0*i - 10 = l*i. Determine i*f(y) + 5*p(y).\nAnswer: -y**3 + 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32209483 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: Let l(w) be the second derivative of -w**7\/1260 + w**6\/90 - w**5\/40 - 5*w**4\/12 - w. Let z(p) be the third derivative of l(p). Calculate z(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 78*j + 13016. Determine w(160).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 38*c + 13. Determine u(13).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1119, 2238, 3357, 4476, 5595?\nAnswer: 6714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 3*y + 1. Determine q(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 5*w)*(82*w - 543*w + 100*w).\nAnswer: 1805*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/9 (b) -1318.51 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -76. Let v(i) = 1. Let m(p) = -1. Let c(y) = 3*m(y) + 4*v(y). Let t(z) be the second derivative of z**3\/3 + 3*z**2 - 4*z. Calculate o*c(q) + t(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/15, 22\/9, 4, -1\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 563361067*f**2*r**2 - 4*f**2*r + 4*f**2 - 4*f - 33*r - 1193 wrt r.\nAnswer: 1126722134*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1124658 and 918.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 4. Let a be k(0). Let w(h) = -h - 1. Let r(l) = 364 + 11*l - 723 + 363 - 3*l. Determine a*w(p) - r(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 504361.39.\nAnswer: 504361.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 3*r**2 + 3*r. Let q be a(3). Suppose 5*k - 4*l - 9 = 0, -2*k - l + q = -k. Solve k*d + 11 = -4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23027 and 205364.\nAnswer: 182337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*h = 4*h - 39 + 6759 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + (-2 - 97\/(-7)) + -19 + 13. Which is the nearest to -6? (a) -10 (b) 0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - (sqrt(550)*-1 - sqrt(550))\/sqrt(11))\/((sqrt(10) - sqrt(90))*6).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 5*b + 3*p + 25, -2*p = -4. What is the closest to b in 0, -1, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26188311?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -32.88. Let m = x + 0.120025. Round m to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**4\/12 + m**3\/3 - 3*m**2\/2 - 2*m. Is r(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l - 3107 = -5*r + 50*l, 3*r - 4*l - 1862 = 0. What is the remainder when 1867 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 19216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (408\/(-26) - (30 + -45))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 75*n**2 - 15*n - 11. Give k(-1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18553 is divided by 1899.\nAnswer: 1462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 + 1.6. Let f = n + -0.35. Which is the biggest value? (a) 1\/5 (b) f (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*h + 12*h - 35*h)*(2*h - h + h).\nAnswer: -82*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*v - 1700 + 200 = 2658 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 24. What is the lowest common multiple of i and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 305*f - 292*f. Solve 9 = -4*x + f*q, -44*x = -40*x + q - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28875 divided by -1375\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 17 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5245.58 hours to nanoseconds.\nAnswer: 18884088000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-191)\/13 - 236\/767.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - a**2 + 5)*(-4*a**2 - 3*a**2 + 5*a**2) - a**4 + 5*a**4 - a**4 - 63*a - 238*a**4 - 48*a + 239*a**4.\nAnswer: 6*a**4 - 111*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (4*1*sqrt(162)*-3*5)**2 + -4 + -4.\nAnswer: 583194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 12)*(-2*j**2 + 0 + 0) + 0*j**2 + 4 - 3 + j**2.\nAnswer: 9*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z**2 - 2*z**2 - z**2)*(z + 2*z - 5*z) - 5*z**3 + 3*z**3 - z**3 - 4*z**2 + 0*z**2 + 0*z**2 - 2*z**3 in the form h + a*z + q*z**2 + k*z**3 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4*(-9)\/(126\/7). Let q = -278 + 277. Which is the third smallest value? (a) q (b) j (c) -4 (d) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*i + 3706 = 0, g - 9*i = -6*i + 1228. What are the prime factors of g?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 1032?\nAnswer: 11352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15 = -51. Let b = 11 + -3. Suppose b = p - 0*p. Calculate the lowest common multiple of u and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 10*j - 23. Let x be g(13). What is the highest common divisor of 37 and x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:29 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 35, -1729*x - 9 = 4*c - 1726*x. Solve -g + 11 = d + 18, c*d - g = -1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -11*c**2 - 11*c + 6. Suppose 13 = -2*d - t, -1 = -3*t + 8. Suppose 6*q - 2*q = 4. Let o(m) = q - 3 - 4*m + 4 - 4*m**2. What is d*o(y) + 3*z(y)?\nAnswer: -y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**5 + 4324870*z**4 + 786405206*z**2 wrt z.\nAnswer: 180*z**2 + 103796880*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81061, -162100, -243155, -324226, -405313, -486416?\nAnswer: -567535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-20))\/((-8)\/(-40)). Let c(q) = -10*q + 75. Let w be c(f). Solve -m + 10 = -3*d - 3, 5*m + w = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c - 9*c**3 - 2*c - c - 3*c**3 - 4*c**3.\nAnswer: -16*c**3 - 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l. Let p(i) = i. Let t(n) = 11*p(n) + 2*v(n). Suppose -4*f + 3*f = -3. Let s(w) = w**2 - 4*w. Let g(q) = f*t(q) + s(q). Let g(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 18 = 9*a. Let s = a + -4. Suppose -146 = -4*y + 2*n, -n = s*y + 2*n - 155. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -55. Suppose -7*i + o = -4*i. Sort -3, i, 3.\nAnswer: -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 139 or 3\/5?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 29*z**2 + 229*z + 273. Determine g(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 13*d**2 + 26*d + 18. Let y(r) = 4*r**2 + 9*r + 6. Let z(j) = -3*x(j) + 8*y(j). Let f(b) = 6*b**2 + 5*b + 5. Calculate 6*f(o) + 5*z(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*m - 383*m - 195874 = -o, 2*m - 5*o - 97926 = 0. What are the prime factors of m?\nAnswer: 2, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 35 - 17 = 0. Suppose -29*w = -25*w - 24. Calculate the lowest common multiple of (4\/3)\/((-1)\/h) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {m: 4, o: 1, h: 1, t: 3, v: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b4 - 4?\nAnswer: -2b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 5*q + 55. Let r be c(-4). Let i(v) = -2*v**2 + 35*v + 37. Calculate i(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 3719110.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*i**3 - 22*i**2 - i + 65079?\nAnswer: 39*i**2 - 44*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115498985*v + 115498985*v + 10*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1585 - -1587. Solve -13*o = -t*o - 44 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4843083.24 to the nearest 10000.\nAnswer: -4840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254187129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -1 - (-37)\/13. Sort o, 0.5, -1 in ascending order.\nAnswer: -1, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 5:56 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-2 - -1) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -11*f + 31. Let n be o(-7). Suppose -58*g - n = -60*g. What is the third derivative of 42*t**5 - g*t**2 + t**2 + 12*t**2 wrt t?\nAnswer: 2520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 1. Let s be x(-6). Let g = -125 + 129. Suppose -t + 3 = -5*o, -t - g*t - 2*o + 69 = 0. Calculate the highest common factor of s and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.44.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Suppose 3*j - i = 1. Let s = -2 + 4. Calculate the remainder when s is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*l + 14577 = 133*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51934899?\nAnswer: 3, 17311633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53876582377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 409.114046 rounded to 0 decimal places?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87 or 58253\/661?\nAnswer: 58253\/661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -190622*k + 1414388?\nAnswer: -190622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 9*f = -29*f + 432. What is the smallest common multiple of 224 and f?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 plus 46.189?\nAnswer: 68.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*h - 558*h + 1119*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -3521 and -3521 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kccckkkkckk. What is prob of sequence ckc?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34460863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27184 divided by 4.\nAnswer: 6796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.3 - -25. Let i be (-2)\/(-4)*-1*6. Let m be (0 + -1)*i\/6. Which is the biggest value? (a) -0.1 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, r: 1, v: 2, p: 4, d: 4, j: 3}. Give prob of picking 1 v, 1 p, 1 m, and 1 d.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 665294062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -42391 * -161\nAnswer: 6824951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*k + a - 4, -4*a + 18 = -3*k. Let l = -145781\/14 + 10420. What is the common denominator of l and 19\/k + 3 + 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 36480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 428 = 4*b, 6*j - j - 95 = -b. Let s be (33\/b)\/(24\/5). Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -1. Let a(j) = -3*j - 3. Let y(p) = 2*a(p) - 6*b(p). Let q(r) = 23*r + r**2 - 23*r + r**2. Calculate y(q(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -602*g**3 - 4*g**2 + 429*g + 5598892.\nAnswer: -1806*g**2 - 8*g + 429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2119 (base 10) to base 11\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5800746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (sqrt(147) - sqrt(147)*2) + 2 + -5)**2.\nAnswer: 42*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-52) + 2685\/6*560\/(-18200).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1627 times -14?\nAnswer: 22778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 18*t - 71. Let d be f(6). Suppose -3*x + d = 16, 5*x + 1875 = 5*j. Calculate the remainder when j is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2527273 is divided by 252610?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 185041 at least as big as 185041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - n = -6, -3*k + 5*n + 6 - 14 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.05 + 0.15. Let a = -5.09 - -0.09. Let z = a - l. Which is bigger: -1\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2324 - 649. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*n - 590 - 1545, 5*n + 6455 = 3*a. What is the greatest common divisor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42*h**3 + 2*h**2*v**3 + 3*v**3 - 9*v wrt h.\nAnswer: -126*h**2 + 4*h*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**5 - 8*t**5 + 9*t**5 + (2*t**4 - 3*t**4 - 10*t**4)*(-2*t - 2 + 2).\nAnswer: 28*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*o - 5*o. Let t = -1 + 0. Let m = o + t. Solve m*p - 15 = 0, -p + 3 + 7 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1472*g. Let c(v) = -25*v. What is -352*c(i) - 6*x(i)?\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**3 + 95*f**2 - 293*f + 365. What is x(44)?\nAnswer: 1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -99. Solve -32 = 4*n + h*p, 3 - 11 = -2*n + 4*p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227 + 229. Let m be (-15)\/99 - (-4)\/(-22). Which is the nearest to 2? (a) -2 (b) m (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {a: 2, l: 3, v: 9, b: 1, h: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Suppose j*l - 57 = -1. Let m = l + -18. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7*y + 2*l - 724 = 0, 0 = 2*y - 5*l - 451. Let d = y - -549. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, -5, 5, -8, -10 in decreasing order.\nAnswer: 10, 5, -3, -5, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**3 - o**2 + 3*o + 4. Let k be h(-2). Let t = -60 - k. Suppose 2*x + 2*d = t, -5*x + 2*d - d = -29. Solve 0 = 4*v - x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/294*602\/1075.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**2 - 766*u + u**2 + 774*u + 5*u**3 wrt u.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 731347 or 731426?\nAnswer: 731347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnhwnqkdnnnnknnddn. What is prob of picking 1 h and 1 n?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*16*(-9)\/(-108)*(-60)\/(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p = -138*p - 3926 + 2512 - 2585 for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 + 225*f + 462 = 0. Calculate f.\nAnswer: -2, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, 0.039, 0.2, -17, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - i - i = -13, 0 = -d + 3*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 i, and 2 h when four letters picked without replacement from {y: 1, e: 1, h: 3, i: 1, m: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.4 (b) -2 (c) -170 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let h = 0.5 + 0. What is the third biggest value in u, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.0634 + -70.9366. What is the smallest value in 6, -2, 3\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 7:11 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 44, -5, 2 in descending order.\nAnswer: 44, 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoeoeeyo. What is prob of sequence yo?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:19 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -4. Let j(i) = -i - 4. Let k be j(f). Let d be 6\/((-4)\/(-2) + k). What is the highest common divisor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15045 and 2040?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + -3*sqrt(112) + 4 - 6*1*sqrt(112)*6)*-3)**2.\nAnswer: -351000*sqrt(7) + 38334825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 5*f**2 - 4*f + 3. Let q be n(4). Let d = 0 + q. Let h(k) = -k + 3. Let z be h(1). Solve -3 - 9 = x + d*r, 2*r = -z*x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444037312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4644*v + 5 - 6 + 3552*v. Let z be n(1). Suppose -5*x + z = -b, -3*b = -4*x - b + 6550. Round x to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -130, -280, -468, -682?\n\"Answer: 2*b**3 - 37*b**2 - 3*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**2\/2 + j - 1. Let a be o(3). Suppose 4*g + a*r = 52, -3*r = 5*g - 25 - 50. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvvudkkkuuuuvuuvxuv. Give prob of sequence dxx.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 497*i - 16887. Calculate o(34).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven quarters of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10330023 (base 5) to base 16\nAnswer: -15d2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 57. Let o be -4*14\/(-8) - 3. Suppose -o*x - 90 = -5*t + x, -5*t + 50 = 3*x. What is the remainder when v is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4906669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.03 - 1.03. Sort -1\/5, y, -1, -5 in increasing order.\nAnswer: -5, -1, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2040 * -0.01.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 350 + -352.59. Let u = t + 2.5900143. What is u rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 21 + (-12)\/4. Suppose 6*q + b = 11*q. What is the highest common factor of 12 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*r**3 + 18*r - 10*r**3 - 5 - 17*r - 3*r**3 + r**3 + r**3 - 3*r**3 - r**3 + 2*r**3 + (-5*r**2 + 4*r**2 + 3*r**2)*(3*r + 0*r - 5*r) - r**3 - r**3 + r**3.\nAnswer: 3*r**3 + r - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*-3*-6 + sqrt(288) - (6*sqrt(288)*-3 - sqrt(288)).\nAnswer: 456*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**2 + 5*f - 17. Let s(l) = -20*l**2 + 14*l - 51. Let d(u) = -6*s(u) + 17*w(u). Is 9 a factor of d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 941, 2, -9221 in decreasing order.\nAnswer: 941, 2, -9221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -10)\/(4\/38). Suppose -2*g + h = -125. What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoaaeaappdpa. What is prob of picking 2 a?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1537 - 604. What are the prime factors of i?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 13. Let g be 8\/22*(-135)\/o. Suppose -2*c + 10 = 0, 8*c + 29 = -2*u + 13*c. Which is greater: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 + 18*p - 6. Let b(i) = i**2 - 10*i + 3. Determine 5*b(q) + 3*z(q).\nAnswer: -q**2 + 4*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61998841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333291 and 8319?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -79. Suppose 0 = 3*w + 2*w - 10. Let o be 0 - (0 + w\/(-7)). Which is the closest to 0? (a) o (b) z (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2493 - -4912. List the prime factors of b.\nAnswer: 5, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791404.29 rounded to the nearest 100?\nAnswer: 1791400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 95 - 97 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 565*f**3 - 1672*f**2 - 12*f + 4. Let o(q) = -566*q**3 + 1674*q**2 + 15*q - 5. Let a(l) = -5*g(l) - 4*o(l). Find the third derivative of a(s) wrt s.\nAnswer: -3366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q. Let p be z(4). Let h be (-10)\/4*p\/15. Suppose -h*j - 14 + 58 = 0. What is the highest common factor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21715, -21179, -20635, -20083, -19523, -18955, -18379?\nAnswer: -17795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:20 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12405781.000137 - -12405931. Let p = s + -150. What is p rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79786 by 25.\nAnswer: -79786\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/36 and 7\/204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10083*u + 4*i = -10079*u + 24, -5*u = -i + 46 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 l, and 1 q when four letters picked without replacement from {z: 6, l: 3, q: 2, e: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**5)\/v**(-1\/5))**36 assuming v is positive.\nAnswer: v**(-684\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97 and 8439?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xu when two letters picked without replacement from {u: 2, v: 6, t: 9, x: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/5 (b) -0.3 (c) -2\/7 (d) -289\/2 (e) 5\/4 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 163537 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l + l - 2*l)*(-5 + 4 + 3) + 0*l + 2*l - 3*l)*(-l + 5*l + 4*l)*(39 - 10 + 47).\nAnswer: 608*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/7)\/(s*s\/s**(-10)))\/(s**(-2))**34 assuming s is positive.\nAnswer: s**(393\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -912 - 915 + 725*b + 1827 + (2*b - 4*b + 4*b)*(-3 - 3 + 4) in the form l + u*b and give u.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**4 + 728*h**3 - 4*h**2 - 728*h = 0.\nAnswer: -182, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {r: 8, u: 2, z: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 20 + -29 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119 - 116 - (0 + 1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4667722 - 51?\nAnswer: -4667773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 10 = -5*q - 38, 0 = 2*q + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106126 - 106122. Let l(m) = m**2 - m. Let x be l(0). Solve x = w + w - p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16799291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i - 7*i. Let p be 14\/63 - (-7)\/(-27). Is p <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2 - 15420*d - 3527728 = 0?\nAnswer: -7474, -236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -8 (c) -1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + l - 11 = 0, 2 = 3*l - 1. Suppose 17 = r + 1. Calculate the smallest common multiple of r and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - i**2 - i + 1. Let g(a) = 4*a**3 + 3*a**2 - 8. Determine g(d) + 2*p(d).\nAnswer: 2*d**3 + d**2 - 2*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 3:41 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = -3*r. Suppose -10 = 2*i, h - 2*i = 3*i + 27. Suppose -5*v = -4*n + 2 + 3, -h*v + 6 = 0. Sort n, -2, r in decreasing order.\nAnswer: n, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide -132450472 by 121.\nAnswer: -1094632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbwvzzxxxzzy. Give prob of sequence zwb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1917854 = 23*d - 3154957. Round d to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-690)\/230)\/((-93)\/(-2666))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -62*n + 125*n - n**4 - 4 - 63*n + 2*n**2 + 6*n**3 as m*n**4 + k + r*n**2 + f*n**3 + p*n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -25*x - 35. Let l(a) = -5*a - 7. What is -2*i(g) + 11*l(g)?\nAnswer: -5*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -32, -1, 18, 293, -3, 0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 16*h**3 + 12*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152653871?\nAnswer: 152653871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 - 144*q**2 - 48*q - 3143. Determine m(-72).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1.79 (c) 1\/6 (d) -6 (e) -5 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-5) + 4\/10. Suppose 2*r = 4*u + 34, -3*u + y*r - r - 33 = 0. Is (10\/3)\/(u\/(-27)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in 0.04098, 5, -2, -7?\nAnswer: 0.04098","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -2 (c) -4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432783467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -15*l + 85. Let d be q(5). Let g be 715\/d - 18\/12. Calculate the greatest common factor of g and 1190.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-6))\/s**18*(s*s**10)\/s*s*s**(-11) assuming s is positive.\nAnswer: s**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/4, -0.07, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*m = -645*m + 299 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1a5b (base 14) to base 13\nAnswer: -2241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-573)\/(-2)*24\/(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*m - 3*d - 0*d, 2*d + 8 = 0. Suppose 0 = -m*h + 9 + 42. Solve -23 = 4*b - 5*a, -b - 2*a + 7*a = h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*v**3 + 2*v**2 - 3*v**2 - 9*v**3 wrt v.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1570 - -1730. What is the highest common factor of u and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-8 - (-1 + -8)) - (3 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26545 or -3?\nAnswer: -26545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12120 (base 7) to base 13.\nAnswer: -1584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4339850089 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 5*y - 33 - 25, 62 = u - 4*y. Let j = 2395 + -2386. Calculate the remainder when u is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, s: 6, a: 2}. Give prob of sequence bass.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -8445315.\nAnswer: -8445315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2 - 6. Let g = p + 0. Solve 1 - 3 = -g*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 1. Let t(c) = 4*c**2 - 7*c - 2. Let z = 36 + -35. Let u(l) = z*t(l) - 3*w(l). Let u(b) = 0. Calculate b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 2*l**3\/3 + 1. Let i(g) = 32*g**2. What is q(i(m))?\nAnswer: 2048*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/8 and 13\/56908?\nAnswer: 113816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.32 + -0.38. Are -2 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 16\/(-6))\/((-196)\/(-294)). Let a = 1.8 - 2. Let n = -166\/3 - -56. What is the closest to i in a, n, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 9:57 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 702\/(-405) + (-12)\/(-30). What is the third biggest value in 0, v, -0.3, -29?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.58433 - 0.1.\nAnswer: 0.48433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**6\/120 - a**5\/40 - a**4\/48 + a**3\/12 + 13*a. Let f(d) = 0. Calculate d.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 260309 = 722043. Let l be (y\/65)\/((-3)\/75). Round l to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2 + 4 = -2*y, -2*y + 5*n + 16 = 0. Let h(i) = i**3 - 2*i**2 - i - 6. Let b be h(y). Solve -m**3 + 0*m**2 - 3\/2*m**4 + b*m - 1\/2*m**5 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2669.\nAnswer: 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (1 + -2) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4325071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 20.82. Let g = 243.82 + -244. Let n = g - h. What is the second biggest value in -3\/4, -3, n?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 14*x = -5*z, 20 = -5*x - 5*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 708552445 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 5*s**7\/42 - s**3\/3 - 4*s. What is the second derivative of i(a) wrt a?\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:35 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6407232, 6407209, 6407164, 6407091, 6406984, 6406837?\nAnswer: 6406644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/7)\/y)\/y*y)**(1\/29)*y**(1\/15)\/((y*y*y\/(y**(-2\/3)*y)*y)\/y*y) assuming y is positive.\nAnswer: y**(-3664\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -129520, -518039, -1165570, -2072113, -3237668, -4662235?\n\"Answer: -129506*w**2 - w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(7\/4)\/(((r\/r**(-6)*r)\/r*r*r)\/r))**(-37) assuming r is positive.\nAnswer: r**(925\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18.1234 from 0.5433034.\nAnswer: 18.6667034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*k + 5 = 34, 4*k - 18 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let r(f) = 13*f**2 - 8*f. What is n(r(s))?\nAnswer: -13*s**2 + 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.161631 * 4.7.\nAnswer: -0.7596657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 2*f + 12, 5*w + 2*f = -7*f + 4*f + 65 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 33, 20, -7, -54, -127?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) -5 (c) -2\/11 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**3 + 4*s**2 - 5. Let l(v) be the first derivative of -v**3\/3 + v - 3949. Suppose u - 6 = -k, k = -3*u + 3*k - 7. Give u*b(r) + 5*l(r).\nAnswer: 3*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -420)*(-4)\/10. Round i to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -22. Suppose -4*f + 12 + 232 = d. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1307 + -1356. Let d = -1.2 + 50.2. Let v = d + b. Which is smaller: 4\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2\/5 + 306*a\/5 + 23409\/5 = 0. What is a?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6518189541?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 306*j**3 + 3*j**2 - 339*j + 1?\nAnswer: 1836*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-45))\/(-1)*(-3)\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6426, 25719, 57874, 102891, 160770?\nAnswer: 231511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 - 5096*j - 1. Let o(v) = -3*v. Determine g(o(q)).\nAnswer: 36*q**2 + 15288*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 12. Let h be v(10). Suppose 9 = 3*m - 6, -l + h*m = 6. Calculate the least common multiple of 2 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -84*v**4 - v**3 + 381*v**2 - 1093. What is the third derivative of t(z) wrt z?\nAnswer: -2016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*200\/(-12)*(-528)\/(-2200)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/5 + (-1689)\/(-15) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*l - 3991 = 82*l + 3*s, s = -l - 997. Let n be 4 - (-112)\/l*35. Put n, 6, 0.4 in descending order.\nAnswer: 6, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*o - 8*o. Suppose o = -4*x + 8, 0*f - 4399 = -3*f - 2*x. Suppose h - f = -4*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) 138\/37 (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131794*b**4 + 22144*b?\nAnswer: -1581528*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 169871 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 26 - 5 = 44*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x = 10*x + 30 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*m + 1082 = 0, -4*b - m + 5*m + 2172 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3465 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + w**3 - 4*w**3 + (1 + 0 - 2)*(-19 - 3 + 1 + (3 + 0 - 2)*(5 - 9 + 19))*(-4*w + 4*w - w**3) to b*w**3 + l*w + p + q*w**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 166546618, 333093234, 499639850?\n\"Answer: 166546616*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/649 and 121\/354.\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 88.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-5 + 14) - ((-5 - -10) + -19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbrbrrrbrrbrbbbbr. What is prob of sequence bbr?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000067013 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -555.1 and 0?\nAnswer: 555.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:32 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -3, -26, -6039 in descending order.\nAnswer: 84, -3, -26, -6039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((1 + 1)\/(190\/(-57))). Solve 9 = 3*z + s*t, -5*z - t = -2*t - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 9:07 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(208) + sqrt(208))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a216 - -6d50?\nAnswer: 13166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7868304 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(((-156)\/24)\/(-13)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = -478 - 941. Let o = 185 + m. Round o to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10098 = 5*t + 10078. Let o(f) = 2*f**3 - 3*f**2 - 6. Let w(m) be the first derivative of -m**4\/2 + 4*m**3\/3 + 7*m + 1. Calculate t*o(x) + 3*w(x).\nAnswer: 2*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 + 2 - 2 + (r + 0*r - 3*r)*(-1260 + 1260 - 18*r) + (4*r - 6*r + 3*r)*(-4*r - 2*r + r) as g*r + u*r**2 + y and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -233.2 * 0.01967\nAnswer: -4.587044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + z. Let y(x) = -x**2 - x + 1. Let t(v) = -3*v**2 - 2*v. Let d(a) = -t(a) + y(a). Let w(m) = -3*b(m) + 4*d(m). Give w(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6096831 decades?\nAnswer: 0.06096831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -40, -36, -48, -82?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904647772 to the power of 1\/2, to the nearest integer?\nAnswer: 43642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*q + 3060 + 360. What is the tens digit of ((-75)\/9)\/(3\/q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d + 4\/13*d**2 + 4\/39*d**3 + 1\/78*d**4 + 22. Factor l(w).\nAnswer: 2*(w + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8960669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 25. Give o(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19889197 to the power of 1\/2, to the nearest integer?\nAnswer: 4460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 15. Let d = 3011 - 3030. Calculate n(d).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 + j - 2. Give a(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 28*m**2 + 73*m + 7. Let q(d) = -2*d**3 - d**2 - d. Let n be q(-1). Let a(c) = -1 + 22*c - 4*c + 7*c**n + 3. Let o(s) = -9*a(s) + 2*w(s). Factor o(p).\nAnswer: -(p + 2)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -696 (base 11) in base 4?\nAnswer: -30333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8514945*y**5 - 7447*y + 59?\nAnswer: -170298900*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 24. Let c be -31250*((-822)\/w - -1). What is c rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 44 = 3*a - 5*x, -x = 2*a - 12. Suppose -4*c + 12 = -0. Let p be (0 - c) + (-12)\/(-5). What is the third smallest value in p, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47845*k**3 - 44217*k?\nAnswer: -287070*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*x - 13*x + 6760 = 0. Let o = -328 - x. Let q(s) = 3*s - 4. What is q(o)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3 (b) -0.13 (c) 2\/589 (d) -2\/7 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45988.\nAnswer: 2, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*x**3 - 25*x**3 + 2*x - 2*x**3 + (0 + x**2 + 0 + (0 + 4 - 2)*(3*x - 2*x**2 - 3*x))*(-3 - 2*x - 3 + 2).\nAnswer: -34*x**3 + 12*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -3586\nAnswer: 1\/1793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g - 2958*g**3 + 10*g - 19*g.\nAnswer: -2958*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (3 + -2) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2778 is divided by 694.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - -0.4. Let i = 4.0848 + -3.7848. Which is the fourth smallest value? (a) 5 (b) -3 (c) i (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**3\/3 + 2*m - 5. Let i be w(-8). Let x be (-7)\/(-49) - i\/658. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -258*k - 20. What are the prime factors of y(-2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {r: 2, q: 2, x: 2, w: 4, e: 3, n: 1}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o - 137. Let i be b(35). Solve -2*n + 3*u = -7, 2*n + i*n - 26 = -u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**2\/2 + 13*z - 241. Let i(p) = p + 1. Determine c(h) - 2*i(h).\nAnswer: -h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 913 or 15510\/17?\nAnswer: 913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3592002\/7 greater than 513144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Convert 92.48313 millilitres to litres.\nAnswer: 0.09248313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**6\/40 + f**5\/4 - 25*f**4\/24 + f**3\/6 + 28*f**2. What is the second derivative of r(w) wrt w?\nAnswer: -18*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + -1 + (-94 - -33).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 9. Let g be i(-5). Let q be 1 + -1 + (11 + -5)\/g. Does q = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133020+30934.43\nAnswer: -102085.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -629763 - -629763. Factor c + 5\/4*d**2 + 85\/2*d.\nAnswer: 5*d*(d + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129339?\nAnswer: 281, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 471044833?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7\/4, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190 and 590330.\nAnswer: 590330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.11 - -0.11. Let k = 3521 + -3521.07. Sort k, -3, h in ascending order.\nAnswer: h, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1875338 by -2.\nAnswer: 937669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + (1 + -1)\/(-1). Let i(v) = 11*v**2 - 3*v. Let a be i(2). Let b = 43 - a. Solve b = -3*s - m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 1) + 2 + (2 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 9308 = 18005. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -15. Suppose -5*l + 6*l - d - 7 = 0, -u*l + 43 = -d. Suppose -5*s = -8 - l. Sort s, 3, 11 in decreasing order.\nAnswer: 11, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + o + 43 - 34*o**2 - 54*o**2 - 28*o**2 - o**4 + 117*o**2 as f*o**4 + q*o**3 + n*o**2 + h*o + x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9566047\/2914146 - 1\/63351. Let k = l - 18\/23. Calculate the common denominator of (-90)\/8 - 2\/(-4) and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 2\/13, 24?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81711 is divided by 2052.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 274, 262, 244, 220, 190?\n\"Answer: -3*t**2 - 3*t + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u**2 + 0*u**2 - 4*u**2. Let x(d) = -7*d**2. What is x(g(c))?\nAnswer: -63*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, -381, -2064, -5325, -10686, -18669, -29796, -44589?\nAnswer: -63570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.39 * -25.\nAnswer: -9.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 1ae936?\nAnswer: 1ae938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y + 2*y - y + y - 9. Let j be k(10). Do 21 and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z**2. Let k(m) = 30*m**2 + 5*m. Give k(l(t)).\nAnswer: 3000*t**4 - 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 360*x - 723. What is j(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 3, 0, -23, -78?\n\"Answer: -2*w**3 + 8*w**2 - 5*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41673, -85871, -130067, -174261?\n\"Answer: t**2 - 44201*t + 2527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 58.32768 hours?\nAnswer: 209979648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100748\/15 - -6712. Let g = s - -26\/5. Which is the closest to 3? (a) 8 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -235 (base 8) to base 16.\nAnswer: -9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 113 = 2*f. Let q = -39 - f. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 46?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {l: 1, b: 1, h: 1, q: 2, a: 1, e: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62890336?\nAnswer: 2, 1965323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 51 times -0.07\nAnswer: -3.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 37 = 63. Let f be 2\/8 - (-95)\/20. Suppose 6*b - 2*b = -f*j + 73, -16 = -2*j + 5*b. What is the remainder when q is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 16) in base 2?\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3240 is divided by 203?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 509591777*a + 509591777*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (10 - (19 - 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/310 + 1 + (1564\/(-1870) - 4\/(-110))?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 2. Let j = -2 - -4. Let v be b(j). Suppose i + 4*f - 16 = 0, -i + v*f = -2*i + 22. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n*o**2*q**3*t + n*o**2*q + 538*n*o**2*t + 25*n*o*q**2*t - n*o*q*t - 3*n*t + 3*q**3*t wrt o?\nAnswer: -2*n*q**3*t + 2*n*q + 1076*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 228, -1\/3, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 389 - 384.78. Let k = j + -0.22. Which is the nearest to -2\/9? (a) k (b) 0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 7 + 3 + 2*n.\nAnswer: 2*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*a**2 + 272*a - 10*a**2 - 15*a**2 - 8*a**2 - 13*a**2 to d*a + c + z*a**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8550\/228*1\/(5\/(-2)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*o + 4*o. Suppose u = 2*u, 0 = -3*q + o*u. Suppose -4*w + 62 + 26 = q. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -378*-3.\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-13))**(-20)\/(g\/((g**(-4\/35)*g)\/g*g*g)*g*g**(-1\/35)*g*g))**36 assuming g is positive.\nAnswer: g**(-355428\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131392486, -131392488, -131392490?\nAnswer: -131392492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*y + 2*w, -3*y + 0*y + 5*w = -9. Let s be (-5 - y - -4) + -2. Suppose -2*c + 0 = -2. Sort s, 3, c in descending order.\nAnswer: 3, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 77107374, 77107384, 77107394, 77107404, 77107414?\n\"Answer: 10*m + 77107364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 1:28 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5821582 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - v**3)*(-722 - 2569 + 3766 + 10450) to the form u*v + x*v**3 + b + m*v**2 and give x.\nAnswer: -10925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/14*13916\/2982. Factor 0*z - 2*z**b + 0*z**2 - 2\/5*z**3 + 0.\nAnswer: -2*z**3*(5*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4)\/108*6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-990 - 173 - 417 + 113 - 1121)*(0*n - 3*n + n).\nAnswer: 5176*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 42921243 and 0.41.\nAnswer: 42921243.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -42, -22\/3, -1705.3?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 4) in base 9?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 11, 31 in decreasing order.\nAnswer: 31, 11, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o + 5*f, -5*f = -2*o - 3*f - 2. Let c = 11785.1 - 11785. What is the third smallest value in -3, o, -3\/8, c?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 3*c + 6. What is l(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 12. What is the nearest to 1 in -5, 4\/7, m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 0 + 3\/56*y**8 - 1\/4*y**4 + 0*y**3 + 0*y**5 + 0*y**6 + 0*y**7 + 0*y**2 + 7*y. What is the third derivative of i(h) wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by 90047\nAnswer: -73\/90047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-29)\/(-2)*2*1. Suppose 372*n = -75*n - 110*n + 32306. Calculate the highest common factor of w and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 18*a**2 + 5*a + 3. Calculate the remainder when b(18) is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4349, -8659, -12975, -17297, -21625, -25959, -30299?\nAnswer: -34645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2 - 36*c + 3*c**2 - 2*c**4 - 132*c**5 - 6*c**2 + c**2 - 4*c wrt c.\nAnswer: -7920*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10849 is divided by 457?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 934948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 514 + -0.1.\nAnswer: 513.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*v**6 - 101*v**4 - 293*v**2 - v + 6 wrt v.\nAnswer: -480*v**3 - 2424*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**5 + j**4 - 438*j**3 + j**2 + 4278 wrt j?\nAnswer: -60*j**2 + 24*j - 2628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26717 - -60240. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**4 + 35*g**2. Let a(z) = 8*z**4 + 35*z**2. Let h(s) = 5*a(s) - 6*v(s). What is the third derivative of h(m) wrt m?\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i**2 - 3*i**2 + 6*i**2)*(-9421 + 2778 - 8208) to d*i + l + k*i**2 and give k.\nAnswer: -29702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = s + s - 18, -5*s = 5*t - 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 4:17 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1489*c = 1472*c - 68 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -114*b**3*f - 28*b**3*h**2 + b**3*h - 49*b**2 + 2*b - 2450*f*h - f wrt h.\nAnswer: -56*b**3*h + b**3 - 2450*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2534194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150079.1cm to kilometers.\nAnswer: 1.500791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -78. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5\/3 + 31997*u**4\/3 - 63911890*u**3\/3 - 101568101*u**2 + 267005436*u - 144144036 = 0. What is u?\nAnswer: -27\/4, 1, 4002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i + 4 = 0. Suppose -i*x + 4 = 2*m - 5*m, -x = 4*m - 2. Solve 2 = x*b - 5*u + 27, u - 5 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3*r + r)*(27 + 29 + 28) - 41*r + 42*r - 7 + 3.\nAnswer: 169*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1200 + 10010?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79616012?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4*90\/27. Solve 3*k - k + 5 = b*x, -3*x = 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -39908161612 and 0.1.\nAnswer: -39908161611.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -218132, -436253, -654374, -872495, -1090616, -1308737?\n\"Answer: -218121*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 25 - 7 = 4*v - 12*x, -317 = -2*v - 2*x - 311 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -445, -446, -453, -472, -509?\n\"Answer: -n**3 + 3*n**2 - 3*n - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 m when three letters picked without replacement from {m: 3, q: 2, a: 8, d: 2}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1971*b**6 - 5*b**4*h - 6*b**2*h + b**2 - 11*b - 18*h wrt b?\nAnswer: 236520*b**3 - 120*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 7*w - 21. Let g be (-15)\/2*10\/(-15). Solve b - x = -2, b - g = -4*x + w for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o - 8. Suppose -2*x - l = -0*l - 7, -4*x + 2*l + 34 = 0. Let g be z(x). Solve -3*c + g = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1408.8 or -447?\nAnswer: 1408.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d**2 - 4*d**2 + 0*d**2 + (5*d + 15 - 15)*(3*d - 7*d + 2*d) + (-4*d - 13 + 13)*(7*d - 2*d - 4*d) to the form f*d**2 + t*d + k and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655222 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/2*(-18)\/36*481\/(-3108)*-8?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12765 and 805.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 3*o**4\/7 - 214*o**3\/21 + 174*o**2\/7 + 64*o\/7 + 1918. Factor z(f).\nAnswer: 2*(f - 16)*(f - 2)*(6*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*h - 36*h + 1848*h**2 - 37*h + 158*h**2 + 629*h**2 - 175*h**2.\nAnswer: 2460*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -72*q**2 - 2. Let r be i(2). Let m = 285 + r. Let w(z) = -z**3 - 5*z**2 + 3*z + 0*z + 0*z**2 - 3. Give w(m).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253044922 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 2:03 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -35. Suppose 22 + k = 2*n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 117.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.24 (b) -6\/75493 (c) 1\/7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c0a (base 14) in base 9?\nAnswer: 3214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j - 668. Suppose 0 = -5*u + s - 524, 2*s = -4*u + s - 412. Let c = j + u. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2684*d**3 + 2684*d**3 - 8*d**4 - 581*d**2 - 135*d**5 - 3*d**6 + 8*d**4 wrt d.\nAnswer: -360*d**3 - 8100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 22 = 2*g, 0 = 3*g + 13 - 10. Solve -37*s + 40*s = o*x + 15, -20 = -x - 4*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1535289 = -6947*k + 527974 for k.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 136927.2 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 9999050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 25*f - 44. Let z be n(23). Find the first derivative of -5*c**z + 2*c - 2*c - 13 + 4*c**2 wrt c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 56 - 72. Let j = a - -12. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1456730.0481 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -8, -1\/5, -81, 0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 18881204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7.9, 4, -1\/2, -0.3, -3, 0.9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-8))\/(11\/44). Suppose o - a - 8 - q = 0, -4*o + a + 21 = 0. Factor -8\/3*j**5 + 0 - 4\/3*j**3 + 0*j - 14\/3*j**o + 2\/3*j**2.\nAnswer: -2*j**2*(j + 1)**2*(4*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 110 = 5*j. Sort j, 2, 3, -11 in ascending order.\nAnswer: -11, 2, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294507362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, and 1 o when three letters picked without replacement from {q: 2, d: 2, v: 2, b: 1, t: 1, o: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 2. Let g be w(-3). Let j be (28\/21)\/(4\/6). Let t(d) = -1 - d**2 - 2 - d + 6*d**2 + j*d. Let a(v) = -v**2 + 1. Determine g*t(p) - 4*a(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 942050 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 797220 and 352?\nAnswer: 70155360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = 19*o - 9. Which is the third smallest value? (a) -3 (b) 0.5 (c) -12 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.7 - -30.7. Which is the nearest to u? (a) 0.1 (b) 2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24651616*u**2 - 22943727*u?\nAnswer: -49303232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197329\/13 - -15179. What is the nearest to -0.2 in 1\/9, i, 3\/4, 40\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 10:59 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 3\/2*u**4 + 3*u**3 - 234 - 12*u**2 - 3\/5*u**5 + 12*u. Determine z so that o(z) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 15*i. Let a(o) = -2*o**2 - 14*o. Let t(l) = 6*a(l) + 5*y(l). Let c(s) = -2*s**2 - 8*s. What is 6*c(p) - 5*t(p)?\nAnswer: -2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n + n + 2*n**2 - n**2 - 2*n**2 - 4. List the prime factors of b(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 8:03 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, a: 2, i: 5, w: 3}. What is prob of sequence aa?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 6*r**2 - 2*r - 7. Let u be w(-6). Suppose u*n - 3 = 12. What is the second derivative of 2*i**3 - 3*i**3 + 3*i**n + 3*i wrt i?\nAnswer: 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*l - 20. Suppose -47*g = 1281 + 505. Sort 4, l, g in increasing order.\nAnswer: g, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*z - 13. Suppose -x = 1, 4*x + 30 = -3*r - z. What are the prime factors of r\/(-4) - 3\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 1\/3, 0.21, 4?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1568504 and 2240720.\nAnswer: 15685040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -191.8 (c) 4 (d) -33 (e) 5 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - -59. Let f = -65 + x. Suppose -3*n = -62 + f. Solve 0 = 3*b + 3*g - n, b + 0*b - 3*g = -6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -6*m - 23 + 93, -4*c - 40 = 2*m for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Let o be (20\/15)\/((-8)\/(-36)). Suppose o*r - 14 = 10. Calculate the greatest common factor of n and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.27999901 - 0.28. What is w rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6335, -1\/4, -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d\/(d\/(d*d**(2\/5))*d)))\/d))**(-4\/7))**(-12) assuming d is positive.\nAnswer: d**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267046229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9894 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyzhch. Give prob of sequence ycy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r**3 - 34*r**2 + 106*r. Let a(u) = -19*u**3 - 70*u**2 + 211*u. Let x(j) = 2*a(j) - 5*v(j). Determine q so that x(q) = 0.\nAnswer: -18, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o**2 - 24*o + 24. Let d(g) = 2*g**2 + 5*g - 5. Calculate 24*d(h) + 5*j(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12155034225 + -1?\nAnswer: 12155034224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**3*k**2 - 14*c**3 + 30*c*k - 5*c - 865*k**4 + 2*k wrt k?\nAnswer: 8*c**3 - 10380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2b4 (base 13) to base 11.\nAnswer: 15964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -80.4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, 1\/4, -24.1, 0.1, -0.5, 0?\nAnswer: -24.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-6)*36\/432.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -12. Let u be 3 + 1 - 3\/3. Is v - -2*u\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-2\/13)*g)\/((g\/(g**(3\/4)*g)*g)\/g))**(-3)*(g\/g**9*g**(-4)\/g)**(-3\/7) assuming g is positive.\nAnswer: g**(-1899\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-26))\/((-26)\/104 - (-51)\/192).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 39, 98, 213, 402, 683, 1074, 1593?\n\"Answer: 3*r**3 + r**2 - 3*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 4. Let v be l(6). Suppose 0*x = 3*x + w - 45, v*x = 5*w + 13. Let c = 1063 + -1049. What is the highest common divisor of x and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 449997971*u + 226399042 with respect to u.\nAnswer: 449997971","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/16*-4*2\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 14 = 7*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -30*q - 2. Let c(a) = -57*a + 19. Determine h(c(s)).\nAnswer: 1710*s - 572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 9. Let w be y(-6). Suppose i - 31 = -4*t + 4*i, w*t + 3*i - 39 = 0. What are the prime factors of t\/3*24\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88303 divided by 203\nAnswer: -88303\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l**3 - 2*l**2 + 2*l. Let s be j(-2). Let o = s + -16. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1675, 3359, 5049, 6745?\n\"Answer: 3*a**2 + 1675*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 15. Let a be (45\/(-75))\/((-2)\/10). Suppose -a*x + 22 = -5*x. Is k(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 11:42 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4672130 or -1?\nAnswer: 4672130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (16 - 29) + -12 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**5\/4 - 49870*s**4 + 398931*s**3\/2 + 2094489*s**2 + 7181217*s\/4 - 4039389 = 0. Calculate s.\nAnswer: -3, 1, 9, 199476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 49, 179, 395, 697, 1085?\n\"Answer: 43*q**2 + q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5577984 to 4 dps.\nAnswer: -0.5578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 41*z - 102. Solve -z*o + 4*o + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 135, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -35*i**4 - 3*i**2 - 8*i + 2. Let v(z) = 36*z**4 + 2*z**2 + 9*z - 1. Let u(g) = 3*v(g) + 2*w(g). What is the second derivative of u(n) wrt n?\nAnswer: 456*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1547*n - 1325. Does 147 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*d - 7*d - 19*d)*(2 - 3 + 3 + 6 - 1 - 2 - 1 - 4 + 6 - 4 + 2 + 1 + (-3 + 0 + 4)*(2 - 2 - 1) + 1 - 1 - 1).\nAnswer: -54*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 17. Suppose -4*g = -2*q + 6, 5*g + 3*q = -0*q + 9. What is the tens digit of a(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -524*l - 364*l - 2*l**3 + 285*l - 2*l**2 + 0*l**3 - 622*l to n*l**2 + y*l**3 + m*l + w and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -55116130 divided by -27558065?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 3*q + 3*a, -5*q + 7*a - 4*a + 12 = -32 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w - 12 = -5*o, o - 2 = w. Suppose -2*v - 3*v = w*i + 111, -2*v = -3*i + 33. Let q = v - -32. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77633, -155198, -232763, -310328, -387893, -465458?\n\"Answer: -77565*u - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*s + 856*s - 417*s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 18*j = 3*t + 16, 15 = 3*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(42\/(-28)*(-2)\/(-6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1242*n - 1499*n - 1808*n + 659*n)*(n**3 + n**3 + 3*n**3) to s*n**4 + d + l*n**3 + i*n**2 + c*n and give s.\nAnswer: -19450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3263 (b) 4 (c) 0.09369\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53680 (base 14) to base 12.\nAnswer: 98800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891448991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/((-3)\/36). Suppose r*j - 3 = j. What is the nearest to 1 in -0.2, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1001 - -11220431?\nAnswer: 11221432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iuh when three letters picked without replacement from hhhhhuiihuhizzuhhuu.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 93, 145, 199?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 - 10*t**2 + 9*t - 12. What is the remainder when 354 is divided by u(-7)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109189567?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0*u, r + 4 = -4*u. Let c(k) = 2*k**2 - 2*k + 1. What is the units digit of c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 0*q**4 + 0*q**2 + 4*q - 4 + 0*q**3 - 4\/5*q**5. Differentiate h(i) with respect to i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from hhhhrqmwrmrhoqhqm?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 12:25 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-45)*7\/1078?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**2\/7 + 119374*c\/7 - 119388 = 0.\nAnswer: -59694, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -0*r - 2*a + 9, 3*r - 18 = -3*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2308, 4553, 6752, 8917, 11060?\nAnswer: 13193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 6*n - 26 + 4*n)*(1 + 0 - 6) + (-5*n + 4*n + 3*n)*(2 - 1 - 2).\nAnswer: 8*n + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 17*u**2 - 19*u + 20. Let w be g(18). Suppose 2*f = 4*p + 70, -2*p + 38 = w*f + 2*p. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 9*w**2 - 5. Let i be d(-9). Which is the second smallest value? (a) -2\/19 (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278.1241 millennia to centuries.\nAnswer: 2781.241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 + 5*f**2 - 28*f - 95. Determine i(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 4*m = 3*k + 4, m = -2*k + 17. Let x = 21 - k. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84146140 by 4.\nAnswer: 21036535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 6*u**2 + u - 5. Let h be n(6). Sort -1, -30, -5, h.\nAnswer: -30, -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*-1)\/sqrt(8) - sqrt(3))**2*6 - (-6*sqrt(144)\/sqrt(6))\/sqrt(8).\nAnswer: 6*sqrt(3) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(10*((-33)\/(-6))\/(-11)). What is the biggest value in 1, 22, j?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 179\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 + 3*u**2 - 8*u**3 - u**4 + u**3 + u**2 - 3*u in the form q*u**2 + n*u**4 + g + b*u**3 + f*u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 10 = 8*a + 2*p, 0 = -2*a + p + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 14 = -11*x. What is the second derivative of 4 - x*k - 7*k**2 + 5*k + 6*k**2 - k wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(-4*d - 3 + 3)*(-10*d**3 + 28 - 28).\nAnswer: -80*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1470) + sqrt(1470))\/sqrt(10) - (-5 + (3*sqrt(36))\/sqrt(12)).\nAnswer: 5 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2589.7491ms in minutes?\nAnswer: 0.043162485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 176, 175, 174, 173, 172, 171?\n\"Answer: -p + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90654, 723738, 2442098, 5788368, 11305182, 19535174, 31020978?\nAnswer: 46305228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3313323111 (base 4) to base 12.\nAnswer: -40b819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00234751655 rounded to five decimal places?\nAnswer: -0.00235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3929?\nAnswer: 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003343 rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 - 143\/33. Let d(f) = -2*f**2 - 3*f**3 + 2*f + 4*f**2 + 0*f**2 + 5. Is d(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128, -112, -86, -50?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffe when three letters picked without replacement from fffffrffe?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and -34972 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27\/2*(-14)\/(-21). Let m = -9 + s. Solve m = x - 5, u + 2*u - x + 5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49\/97 - 7171\/1358. Is i not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76 + 0 - (-3 - -5)) + 119 + 64 + -195.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.8? (a) 4 (b) -16\/21 (c) 1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4862*m**3 - 65*m**2 - 13*m. Let l(k) = 1621*k**3 - 20*k**2 - 4*k. Calculate -13*l(p) + 4*r(p).\nAnswer: -1625*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90f109 (base 16) to base 14.\nAnswer: 13939a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43199842 by 4.\nAnswer: -21599921\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2 - (-944)\/96*(40 - 37)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-39)*(2 - (9 - 0 - (0 - -8))).\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -422 - -678. What is the greatest common factor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 3970.\nAnswer: 3970.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 340 and 156740?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4410000 = 4*j, -n + 7350000 = -6*n - 3*j. Round n to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*r - 13 = -r, -5*h - r = -16. Suppose 4*j + m = 17, j + h*m + 0*m = 7. Differentiate 4*o**j + 5 + 7 - 15 with respect to o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2603 is divided by 218?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from {m: 2, o: 6, t: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1830)\/4392)\/(1\/57))\/(20\/32).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/8404 (b) 1\/8 (c) 0 (d) -0.4 (e) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.4. Let s = 0.157 + 0.043. Which is the nearest to s? (a) 5 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000787 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125792 + 125797. Let u = 55288987\/189752 - -1\/94876. Let n = u + -291. Put l, 0.07, n in decreasing order.\nAnswer: l, n, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*c - 34348 = 0, 70*d + 4*c = 72*d - 68792. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4056, -21, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (286 - 83 - 110 + 357)*(d + 5*d - 4*d).\nAnswer: 900*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 39 - 5. Let g = -1 + r. What is the common denominator of (-1)\/2*792\/g and 16\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37 - 3 + 5 - 41*n wrt n.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1769*s = 3*a + 1772*s - 120, -220 = -6*a - s for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 33*d**3 - 24*d + 24. What is t(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3b6 (base 15) to base 14\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10775545, 10775535, 10775523, 10775509, 10775493?\n\"Answer: -g**2 - 7*g + 10775553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + 43*m - 28. Determine w(-12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 7*z**2 - 5*z - 28. Let t be j(-7). Suppose 0 = -t*d + 28 - 0. Solve 0*q = 4*a - d*q + 36, 4*q = -a + 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -537148 (base 12) in base 14?\nAnswer: -2647c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -106 + 10*w - 9\/2*w**2 + 1\/3*w**3. Give q(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*u**2 + 4*u**2 + u**4 + 3*u**4 + (-2*u**3 - 1 + 1)*(-u + 2 - 2).\nAnswer: 6*u**4 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + (15 - 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -25 + 2 - (2 - 9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*j**3 + 11*j**3 - 6*j**3 + 4*j**2 + j**3 - 11*j**2 in the form a*j + m*j**3 + i*j**2 + p and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 0.2, -5.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-208)\/(-728))\/(9\/35). Suppose -g*q**4 + 16\/9 - 4\/3*q**2 + 34\/9*q**3 - 40\/9*q = 0. What is q?\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -111275, -111284, -111309, -111350?\n\"Answer: -8*d**2 + 15*d - 111282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.1949 + 0.1949. Which is the nearest to -0.1? (a) 5 (b) f (c) 3 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4494315 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -9*j + 3. Let a be 23 + (3 + 0)\/j. Let g(d) = d**3 + d**2. Let r be g(1). Solve -4*c - 2*v - 18 = 0, a = -r*c - 6*v + 2*v for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47.961 + 48. Let s = 0.719 - x. What is s rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 + 1277?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387560 is divided by 352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**4\/12 + j**3\/2 - j**2\/2 - 6*j. Let t be a(-2). Calculate the lowest common multiple of 4 - (-6 - t) - 0 and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8270 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/5*(-10185)\/98. Let g = 1774\/21 - w. Solve 2\/3*l**3 - 10\/3*l + g - 2\/3*l**4 + 2*l**2 = 0 for l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b**3 + b**2 - 24*b + 22. Let r be p(1). Solve -3*h - r*g + 10*g + 7 = 0, -2*h = 4*g + 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20702280 and 480.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1, 1\/3, -3\/2 in descending order.\nAnswer: 1\/3, 0.3, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(441)*3)\/sqrt(7)*-2 + 4 + -4*(3 + sqrt(63)*-1).\nAnswer: -96*sqrt(7) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j. Suppose -5*z = 63 - 13. Let w be y(z). Suppose -2*x = 2*x + w. Let i(d) = -d**2 - 4*d + 7. Calculate i(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) 5 (c) 1\/16 (d) 245.8 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 136 + -15?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4486944204.98+-0.4\nAnswer: -4486944205.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Let x = z + 9. Let s = x + -8. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0)*(-9 - (-75)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + sqrt(3) + -2) + (sqrt(3888))**2*-5.\nAnswer: -19475 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2*x + 3*x)*(5 - 2 - 1).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55732250 to the power of 1\/2, to the nearest integer?\nAnswer: 7465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-2958 + 2940 + 36 + (-1 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/15 - 8*g\/3 + 56\/5.\nAnswer: 2*(g - 14)*(g - 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.413 - 496.813. Round t to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113.873 + -114. Let q = -1.08042 - -1.2064. Let p = k + q. What is p rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 10:25 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11358211 is divided by 876?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17412 rounded to 2 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14475\/13896)\/((-4)\/32)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*j + 13, 4*j = 2*n + 2*n + 12. Which is smaller: 2\/7 or j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l + 2. Let y(w) = -11*w + 12. Let x(v) = -6*c(v) + y(v). Let n(i) = 13*i - 1. Give n(x(p)).\nAnswer: 13*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, and 1 v when three letters picked without replacement from {v: 1, j: 2, i: 1, c: 1, n: 1, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n**3 + 698354*n**2 - 16*n**3 - 698354*n**2 - 10*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1631*u + 202*u + 94*u + 2*u + 5*u - 5*u + (1 + 0 + 1)*(-2 - 2*u + 2).\nAnswer: 1925*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -249, 0, -6131 in increasing order.\nAnswer: -6131, -249, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/132695 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 1. Let g(o) = o**2 + o. Let q(y) = -4*y**2 - 5*y - 5. Let t(x) = b*g(x) - q(x). What is the units digit of t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 11*z**2 - 10*z + 4. Let o be h(-10). Suppose 30 = o*t + t. Is 15*((-8)\/t)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 74. Which is the closest to 0? (a) s (b) 1\/4 (c) 0.02 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(18 + -2 + -18) - (-3)\/27. Let m = -2.8 - 0.2. What is the nearest to -1 in 0.3, m, u, 0.6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1915077 is divided by 112.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14788.\nAnswer: 2, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g + 2*g - 6*g - 3*g + 4*g + g + 2*g - 3*g - g + (-2*g + 5*g - 2*g)*(-1 + 4 - 4))*(-2 - 2 + 2) to i + r*g and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389*f**3 - 92*f**3 - 966*f**3 + 168*f**3.\nAnswer: -501*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 140811714 to the power of 1\/3, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -413235 - -0.018?\nAnswer: -413234.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 6)\/(2\/(-6)). Sort l, 1, 2, -3 in decreasing order.\nAnswer: l, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 - 78. Let b = -122 + 75. Let p = k + b. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -27. Does 5 divide 4\/(-10)*(-4 + i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 3*n**2 + 4*n - 3. Let i be o(3). Suppose r = 4*r - i. Solve -r*x + 7*x = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -5 + 1)*-1. Let q = 0.4 - 0.7. What is the nearest to 2\/11 in b, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*-1*9\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20849676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 2*t - 2*t)*(t + t + 0*t + (3*t + 0*t - t)*(0 - 2 + 1) - 2*t + 3*t + 5*t).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3 and 25\/396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 15 = -v + 3*c, 57*c - 10 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295 + 294.9. Let z = 0.4 - 0.2. Which is the third biggest value? (a) -4\/5 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, -338, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.7 - -5.3. Let x = 22 - l. Which is the biggest value? (a) -0.6 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 100 - 719. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/11, 0.49, 7\/5, 0.2, 9?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-1\/76)\/(r**(-2\/11)\/(r\/r**1)) assuming r is positive.\nAnswer: r**(141\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31628788, -31628770, -31628762, -31628770, -31628800, -31628858, -31628950?\n\"Answer: -w**3 + w**2 + 22*w - 31628810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/48 and 6486\/(-720) - (-1 - 65\/(-75))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 952, 6916, 22666, 52972, 102604?\nAnswer: 176332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14600*o - 14561*o + 29167*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006111085 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*b = -59*b - 75 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 6*a**2 + a - 1. Let y(m) = -m**3 - 5*m**2 - m. Let v(r) = 5*y(r) + 4*z(r). Determine v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60589.17 rounded to the nearest 1000?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1107\/(-2133))\/((-1)\/79).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2. Let t(h) = -19*h + 192. Let x be t(10). Suppose 0 = -f + 6*f - 10. Let u(b) = 11*b**f - 7*b**2 - 22*b**x. Give u(d(p)).\nAnswer: -18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4190*i*w**3 + 8*i*w + 8*w**3 - 54*w**2 - 2*w + 673 wrt i.\nAnswer: -4190*w**3 + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36110 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + n - 3*n**3 + 19*n**2 + 6*n**2 - 4*n**3 - 33*n**2 + 42*n**2 to the form v + q*n + k*n**2 + d*n**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (3 + (13 - 4 - 10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 9*s**2. Let n be a(9). Let c = -52 + 52.8. What is the closest to -3 in n, -2\/3, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 422 and 12783435?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20127 + 37237. Let q = -616009\/36 + r. Find the common denominator of q and -173\/42.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -232, -430, -652, -910, -1216?\n\"Answer: -2*v**3 - 184*v - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1110100101111100001 (base 2) to base 13\nAnswer: 13985b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 272.2914 to the nearest integer.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**2\/x)*x)*x*x*x*((x*x\/(x\/(x*x*x**(5\/6)\/x*x*x*x*x)))\/x)\/x)**34*(((x**(-2)\/x)\/x)\/x)**(3\/5)\/(x**3*x\/(x*x**(1\/3))*x*x) assuming x is positive.\nAnswer: x**(776\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 923961977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**4\/2 + 2*z**3\/3 + z + 2. Suppose 0 = -4*s + 6 - 14. List the prime factors of b(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3543 and 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 23, -6, 3, -37, -1.\nAnswer: -37, -6, -1, 5\/4, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 7*a - 2*a = -14 - 6, u - 23 = -5*a - 43 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 31 + 8*r**3.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15))\/(((-925)\/(-300))\/(-37))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) - (-29)\/5. Suppose w*d - 11*d + 25 = 0. Suppose -c + d*c - u = 154, 2*c = -u + 74. Calculate the remainder when c is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011956172 to 6 decimal places.\nAnswer: -0.001196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 9. Calculate x(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 9*g**3 + 2. Let w(y) = -y**3 - 1. Let v(s) = 3*c(s) + 12*w(s). What is the first derivative of v(n) wrt n?\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514923.\nAnswer: 3, 171641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 652 - 293. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29425634 + 15.\nAnswer: -29425619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: What is next in 173656, 347308, 520960, 694612?\nAnswer: 868264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -271212, -1084839, -2440884, -4339347, -6780228, -9763527?\n\"Answer: -271209*u**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2574 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32999)\/102)\/(114\/(-2)). Let b = 15\/323 + f. What is the common denominator of 1\/(3\/((-273)\/8)) and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-10)\/(-375)*3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**7\/2940 - f**6\/315 + f**5\/105 - f**3 + 3. Let h(a) be the third derivative of z(a). Let h(s) = 0. Calculate s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 + -1. Let l = h + 0.6. Let s(y) = 3*y - 12. Let g be s(5). Which is the closest to -1? (a) -0.4 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/119)\/(4\/(84\/15))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -29.8. Let z(a) = -a**2 + a - 1. Let g be z(0). What is the biggest value in g, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100132201 (base 4) in base 10?\nAnswer: -67489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 472 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 262 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 41*t + 44*t + 9 = 0, 2*r + 26 = -5*t for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 2 - ((143 - 197) + 19 + -5 + 2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let j = x - 0.4. Let c = 0.399996 + j. Round c to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.095 + -0.085. Which is the nearest to 0? (a) -3\/2 (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 10:24 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*d + d = 66, -4*t = 4*d + 244. Let h be (-2)\/((t\/12)\/7). Suppose -h*s + 6*y = y - 16, -4*s - 4*y = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45517 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -15936\/74155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.0554?\nAnswer: -0.2216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*y + 53617, 5*w - 95 = -100. What is y rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + a + 315 = 3*c, 246 = 3*c - 4*a. Let g be 144\/c + (41\/13 - 3). Find the second derivative of -7*i - 4*i**g - 13*i**2 - 7*i + 21*i**2 wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06807 and 0.1?\nAnswer: -0.006807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 658 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Solve -6*o + 8 = -h*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 189.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1979328 is divided by 659770.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/60 - 2*l**2. Suppose 4*i - 8 = -4*v + 12, -i - 3*v + 11 = 0. Let m(q) = 0*q - 2*q - i*q - 2*q. Calculate m(k(x)).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -215922, -215946, -215970, -215994, -216018, -216042?\n\"Answer: -24*j - 215898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.924 - -38.924. Which is the third smallest value? (a) x (b) 0.2 (c) -165\/328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110 (base 2) in base 9?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.208652216 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/40 + (2 - -1)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*z - 4*l = -97*z - 6, z + 3*l - 10 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45971, 45769, 45563, 45353, 45139, 44921, 44699?\nAnswer: 44473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4561 is divided by 229.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000107193 to 7 dps.\nAnswer: -0.0001072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1152\/480 - 1\/(5\/2). Solve -d*t + 16*t + 70 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-65)*10\/36?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 5. Let g be f(0). Suppose -2*a + 47 = 2*p + 11, a - 30 = -g*p. Suppose 2*n + a = 7*n. Solve b - 15 = n*o, -5*b = o - 10 - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15147428*v**4 + 469*v**2 - 7310?\nAnswer: 363538272*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 115102 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 8. Let z be x(-4). Suppose 0 = -4*j + z*y - 4, -4*j - y + 4*y = 1. Suppose 4*s - 40 = 8. Solve -k = j*k + s for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s. Let x be l(2). Let o = 2 - x. What is the greatest common factor of o and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1483 + 9017\/6. Let j = 451759\/87 - 5193. Let y = 509\/1218 - j. What is the common denominator of y and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6315893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -3*40*(-30)\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 w when four letters picked without replacement from pwbbwbwbbwwbwwz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2439632124 rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + r + 1 + (-4*r + 3*r - r)*(13 + 3 + 1))*(-31 + 58 + 501*r - 25) to the form a*r + s + i*r**2 and give a.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 26*z + 34. Let x(q) = -12*q - 18. What is 2*a(c) + 5*x(c)?\nAnswer: -8*c - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 1.75 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6266 - 0.728992?\nAnswer: -6266.728992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 17, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -302 or -5\/36?\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.664, -11, -6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8052 is divided by 624?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -228.89 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -103, -5 in decreasing order.\nAnswer: 46, -5, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3142 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(75) + sqrt(3) + 1.\nAnswer: -9*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18588472 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 f when three letters picked without replacement from wfwfww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 678 + -251. List the prime factors of j.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312 divided by 2254.\nAnswer: -156\/1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u**2 - 2*u**2 - 2*u**2)*(-1120*u + 1209 - 2437 + 1228)*(-5*u + 12*u + 8*u) in the form c*u + j + m*u**4 + v*u**2 + n*u**3 and give m.\nAnswer: 33600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20147*h - 20231*h = 4200 for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-8) + 105\/1080. Let o = -110\/3 + 36. What is the closest to u in -0.4, 2, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2788794023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19113 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*m = 14, -4*m = 3*k + m - 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) + 18\/4. Suppose 0 = -5*m + 2*m. Suppose v - 2 - 25 = m. Solve -q*k = -7 + v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Suppose 0 = a - 3*u - 0 - 2, s = 5*a - 5*u. What are the prime factors of a*-12*(-3 - -4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*t + 8 = 28, -2*x - t = 9. Let g(d) = 226*d**2 + 0*d**3 - 117*d**2 + 2*d + d + d**3 - 107*d**2 + 2. Give g(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*1*(-3 - -2). What is the second derivative of -c**3 + c**3 - 5*c**4 + 9*c**4 + h*c wrt c?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 697 and 697 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/98298 and -191\/19866.\nAnswer: 7568946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11 - ((-12)\/6 + 5). Let k(p) = -8 + q - 20*p**2 + p**2. Let n(r) = -12*r**2 - 6*r**2 + 20*r**2. Give k(n(m)).\nAnswer: -76*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10733 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 minus 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 940 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -2\/17, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14071.64 and -4.\nAnswer: -14075.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 19.7. Let j be ((-1)\/(-3))\/((-2)\/(-6)). Which is the closest to j? (a) -0.1 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2801, 2788, 2775, 2762, 2749?\nAnswer: 2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-474)\/8)\/(5\/(-4)). Let f(p) = p**3 - 47*p**2 - 47*p - 1. Let u be f(48). Is x != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -65, -5\/7, -1\/4, 5 in descending order.\nAnswer: 5, 4, 3, -1\/4, -5\/7, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 19*k**2 + 101*k + 392. Calculate j(-14).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(304)\/sqrt(8))\/sqrt(2) + sqrt(171)\/(sqrt(72)\/sqrt(8) + sqrt(9)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -55475.308 rounded to the nearest ten?\nAnswer: -55480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33420\/7 - -4774. What is the third biggest value in l, 0.31, 22?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 686 and 11?\nAnswer: 7546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*w - 4 = -1, 0 = w + 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -220.28178 + 218.004. Let j = -2.28 - a. Round j to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = 5*u - 7*u, -4*u = -4*l + 12. What is b in 6\/7*b - 2\/7*b**3 + l + 4\/7*b**2 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 354836, 356046, 357258, 358472, 359688, 360906, 362126?\n\"Answer: m**2 + 1207*m + 353628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let p be f(6). Suppose -4*q - 2*u = -94, -q - p*u + 91 = 3*q. Suppose -17*l = -1075 + 276. What is the remainder when l is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287055 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -30*b + 37*b. Solve 17 = -2*d + b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11692.\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1899 and 26346093.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2781 is divided by 917.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 4:01 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 - 2. Suppose 0 = 771*v - 745*v - 78. Let c(f) = 4*f**2 + 3. What is v*c(p) + 4*h(p)?\nAnswer: -4*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 34.938 times -32\nAnswer: -1118.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 868477686 to the power of 1\/2, to the nearest integer?\nAnswer: 29470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.088 - -0.04. Let r = f + 0.05. What is r rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 43. Let c be n(-15). Let b = -81 + c. Solve -3 = -2*y + b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45052 and 12.\nAnswer: 135156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 - 210*p + 2205.\nAnswer: 5*(p - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -50*w - 732. What is the remainder when 354 is divided by m(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) 72 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*g - 8, 3*d - 4*g + 7*g - 33 = 0. Solve 25*v = -4*s + 27*v - 22, d*s + 23 = -2*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -355 + 351. Which is the third biggest value? (a) r (b) 5 (c) -2\/31 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*(2*sqrt(80) - sqrt(80)) + (sqrt(80) - (sqrt(80) - (1 + sqrt(80)*1) - sqrt(80)) - sqrt(80)) + 5))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((132\/12)\/11)\/((-1)\/(-232745)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12*k + 3. Suppose -3*d - 1 = -7. Suppose -4*n + d = 6. Let w be p(n). Solve -3*m = -8*m - w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148004784 divided by 1143\nAnswer: 129488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 0*n + n + 5*n - 11*n**2 + 12*n**2 - 1. Let k be y(-8). Solve 0 = -5*m + 25, 3*b + 4*m - k = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*8494\/8)\/((-2)\/8). Suppose 52 = -14*a + q. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 103333136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/6 + 2\/6. Let i = 24.4 - 24. Which is the nearest to 3? (a) i (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 13*l - 4. Let q(g) = -2 - 5 + 5 + 3. Let h(a) = n(a) + 4*q(a). Let k(d) = 2*d**2. Calculate h(k(o)).\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -30 + (-11 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = 2*x. Let n be 94\/30 - (-8)\/(-60). Let i be n + 1 - (-1 - -10). Do x and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 2*j + 3*j. Suppose 4*v - j = 10. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**3*x + 3*d**2*x**3 + 24*d*x + 2055*x**3 with respect to d.\nAnswer: 12*d**2*x + 6*d*x**3 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -216.64976 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 46. Let r = -10 + l. Let x = 376\/65 - 70\/13. Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3231312 - 10?\nAnswer: -3231322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h**2 - 25*h + h**2 + 3*h)*(1 + 1 - 1)*(-9*h + 20*h + 35 - 10*h) as i + y*h**2 + v*h + g*h**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/2 and 113\/966.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61205764 is divided by 2989?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -234 - -476. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5 - 10*b**4 + 14*b**3 - 6*b**2.\nAnswer: 2*b**2*(b - 3)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2\/3*p**2 + 98\/3 + 28\/3*p = 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3957*o**2 - 1613*o + 41782172 wrt o?\nAnswer: 7914*o - 1613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2501?\nAnswer: 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*-1*-1 + sqrt(2025)*-2)\/(3*sqrt(5)*3 - sqrt(245)*5).\nAnswer: 17*sqrt(5)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 87640596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -4.6.\nAnswer: 36.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - r**2 + r - 1. Let a(k) = -3*k**3 + 9*k**2 - 6*k + 4. Let m(o) = 68*o + 67. Let v be m(-1). Determine v*a(b) - 4*l(b).\nAnswer: -b**3 - 5*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1500?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 233*p + 469*p - 237*p.\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 530578984?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.087665 tonnes in milligrams?\nAnswer: 8087665000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 3, 0.3, -0.4 in descending order.\nAnswer: 3, 0.3, -0.4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**7)\/(d*d**(1\/2)))\/(d**0\/d)**(2\/55) assuming d is positive.\nAnswer: d**(-821\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26\/7 + 22\/7. Let f be 295 - 300 - (0 + (-19)\/4). Let y be (56\/(-20) + 2)*-1. Which is the nearest to f? (a) y (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-10 + (-6 - -13)). Suppose h = y - 23, -6*y = -2*y + i*h - 113. Calculate the greatest common factor of y and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 13*b = 3*u - 93, 0 = -3*u + 2*b + 97. Solve 24*s + 181 = -u for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4+-0.33\nAnswer: -1.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000231121 (base 4) in base 7?\nAnswer: -14110545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 927307 and 2119?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*j + 9 = 0. Let x(p) = 3*p**2 - 9*p + 2. Let n be x(j). Suppose 0 = n*v + 6, 5*y + 0*v + 4*v - 298 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820240123.\nAnswer: 17, 2521, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 178*s**5 + 3 - 179*s**5 - 5*s**4 + s**4 + (-4*s**4 + 0*s**4 + 0*s**4)*(0*s - 3*s + 2*s).\nAnswer: 3*s**5 - 4*s**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**5\/30 + 19*i**2 + 11*i. Let r(l) = 140 + 100*l**2 - 140 + 3*l. Determine r(z(u)).\nAnswer: 400*u**4 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 2*t - 592 + 580, 0 = -3*g + t - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 285525371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 27*c**2 + 33*c + 81. What is the tens digit of i(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 44*v**2 - 65*v - 913. Calculate o(-22).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114322623246 - 4?\nAnswer: 114322623242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 139 - 139 - 14*f + 32 + 3*f - 32 + (0 + 1 - 2)*(5*f - 5*f - 2*f).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + (-385)\/(-15) - 7)\/(4\/6). What is the highest common factor of s and 1152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 2*m + 1. Let w be v(3). Let o be (1 - w)*10\/(-6). Let j = -8644 - -8643. Which is the closest to o? (a) 2 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11623, 11680, 11775, 11908, 12079, 12288?\n\"Answer: 19*n**2 + 11604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 69*r**2 - 40*r + 64. Let p(z) = 32*z**2 - 18*z + 30. Give 6*j(c) - 13*p(c).\nAnswer: -2*c**2 - 6*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c + 16 = 56*c - 3*v, -4*c + 11*v + 40 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18205340 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-1) + 7)*(-2)\/5. Calculate the remainder when 42 is divided by 23 - (3\/(-21) + j\/(-14)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1825*q**2 + 1433*q - 644*q - 789*q. Let p(b) = -4*b. Calculate y(p(s)).\nAnswer: -29200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -100010?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxv when four letters picked without replacement from vvxvvvxvvxvxvvvx.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5\/2 - 25*f**4\/2 + 69*f**3\/2 - 67*f**2\/2 + 11*f = 0.\nAnswer: 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1983 - -2123. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102335 (base 7) in base 2?\nAnswer: -100010100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*u - 285 = 0. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4621 + -4628.948. Let m = d - 0.152. Let y = m + 8.1082. What is y rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 0*n**2 + n**3 - 3*n**3 + (8*n**2 - 3*n**2 + 2*n**2)*(-n - 4 + 4).\nAnswer: -9*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 1) + 1 + (-3 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -66519542 divided by 46\nAnswer: -1446077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -7*n**5\/120 + n**3\/6 + 3*n. Let b(a) be the second derivative of v(a). Let i(t) = -2*t**2. Determine b(i(u)).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 23*n**2 + 2*n + 1. Let p(v) = -92*v**2 - 9*v - 3. Give -9*g(h) - 2*p(h).\nAnswer: -23*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r**2 + 6*r**2 + 7*r**2 - 28*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.2 or -1669?\nAnswer: -1669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208 - -212. What is the third derivative of -27*d**t - 181*d**4 + 734*d**2 - 640*d**2 wrt d?\nAnswer: -4992*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u + 14. Suppose 3 = 3*x - 3*w, 3*x - 2*x - 3*w = -1. Let r = u - x. Solve r*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 + -108. Let i(w) = 10*w**2 - 13*w - 11. Calculate the remainder when i(s) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136788 - -855298. Round g to the nearest 10000.\nAnswer: 720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**6)\/x**12*(x\/x**3)**(-14) assuming x is positive.\nAnswer: x**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13107, -26220, -39367, -52548, -65763, -79012, -92295?\nAnswer: -105612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7400864.5 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94215936 a multiple of 1306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*y + 19 = 4, -x + 14 = -3*y. Is x != 1\/790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 16*m + 43. Let z be i(19). What is the greatest common factor of z and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -17.7. Let d = 18.01 + x. Let j = 0.49 + d. Which is the biggest value? (a) 10 (b) 1\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2352073637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*h + 28 = 0, -32*o + 4*h - 22 = -59*o + 33*o + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83930531?\nAnswer: 1087, 77213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-207)\/(-19) - (-18)\/171.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9151768, -9151765, -9151762, -9151759?\n\"Answer: 3*v - 9151771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139308 by -2444.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-578)\/(-1020) + 2\/(-12). Let i be (-1)\/2 + 6\/28. Which is the nearest to i? (a) 0.3 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 21584336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -8163\nAnswer: 8163.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 12. Let i be l(9). Suppose 17*m - i*m + 11756 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1965253 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 6. Let p = 51 + -47. Let o be z(p). Let y(g) = g**3 + 15*g**2 + 14*g + 6. Let q be y(-14). Solve q*f = 2*f - h - 7, -4*f - 2*h = o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 10.1. Let d = -1.2 - -1. Let c = b + d. Round c to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**1\/x**(-5)*x**(5\/6)\/(x*x**(2\/9)\/x) assuming x is positive.\nAnswer: x**(119\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 140142 - 5?\nAnswer: 140136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*v**4 + 3 - 3 + 3 wrt v?\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {b: 3, r: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5111 + -5102.6882. What is j rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3473 and 1877232.\nAnswer: 43176336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b36755 (base 12) in base 16?\nAnswer: -b393b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**6\/120 + 3*q**5\/10 + q**4\/6 + 5*q**3\/6 + q**2. What is the hundreds digit of i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 7*x**2 + 4. Let t be a(-3). Let m = -47 + 116. Suppose p = 2*n - m, -5*n = -3*p - t - 108. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403204 (base 5) in base 15?\nAnswer: 3c6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12))**(-18) assuming s is positive.\nAnswer: s**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (256*t - 110*t - 89*t)*((-3 + 5 - 3)*(4 - 2 - 3) - 1 + 6 - 8 - 4 + 4 - 2 + 7 - 4 - 1) to h*t + w and give h.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 3387 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 9*d - 6. Let m be w(8). Let g be ((-12)\/m)\/((-9)\/6). Let z be 0 + g*9\/3. Solve 2*q + 3*h = -7, q - h = -z + 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3777 + -19393\/5. Let w = o - -102. Let v = 2.74 + 1.26. Which is the second biggest value? (a) v (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137 + -4.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011202 rounded to 4 decimal places?\nAnswer: -0.0112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -845, 7644, -0.2 in descending order.\nAnswer: 7644, -0.2, -845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 6*u**2 + 2. Let j = -28 + 30. Suppose -j*g = 4*s - 6, -3*s - s + 7 = 3*g. What is the remainder when y(6) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 7*h + 9. Calculate o(12).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**3 - 11*o**3 - 16*o**3 + 61*o**3 + 2*o**3.\nAnswer: 19*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -73b695 + 3?\nAnswer: -73b692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -772 divided by 193.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 3:54 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 50 = 4*c, -10*v - 4665 + 4720 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 1 - 4*y - 2 + 0 + 3. Is 7 a factor of z(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -366810*p**2 + 340939.\nAnswer: -733620*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8.4 (b) 1\/9 (c) -0.3 (d) -3 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -122012022110212?\nAnswer: -122012022110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 25 - 26 - 4*d + 2*d + 6*d. Suppose 5*r - 3 = -2*m, -2*r - 13 - 1 = -3*m. What is p(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y - 55*y + 27*y + 30 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2372671851 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662776 to the power of 1\/2, to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1000 divide 493925421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 24 - 35)*(-2*t + 7*t + 0*t).\nAnswer: -130*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljccjjcclcclljlll. Give prob of sequence jj.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 4)*(3 - 2 - 2) + 2 + 5 - 4)*(5*f - 4*f - 2*f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + d = 23, 2*d = 3 + 3. Let l be -8 + 552\/68 + (-4)\/34. Which is the nearest to 1? (a) -2 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -509\/18 - -57\/2. Find c such that 4\/9*c**3 - 2\/9*c**4 + x*c**2 + 0 - 4\/9*c = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44816827 = 12*f - 2717933. Suppose -5*o + 32961230 = f. What is o rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(16) - 2*sqrt(2304))\/sqrt(8).\nAnswer: -23*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5\/9 - 18*w**4 - 764*w**3\/9 - 88*w**2\/3 + 3088*w\/9 + 1216\/3 = 0. Calculate w.\nAnswer: -76, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/(-3)*(-9)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227 + 199. What is the remainder when u is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i**3 + 2*i**2 - 2*i. Suppose 2*y + 2 = 4*y. What is the smallest common multiple of 18 and b(y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3088 divided by 16.\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -80517970 - -6.335785\nAnswer: -80517963.664215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*l**3 - 2 + 0*l**3 + 1 - 3*l**3 - 3 + (-l + l + 2*l)*(0*l**2 - 2*l**2 + 0*l**2) + 2*l**3 - 2*l**2 + 2*l**2.\nAnswer: -8*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/8 - 25131*g\/8 + 25137\/4.\nAnswer: -3*(g - 2)*(g + 8379)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -2. Solve -c = 5*n - 3*l, 0*n - 2 = 2*n - l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, c: 2}. What is prob of picking 1 c and 3 w?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13553, 13537, 13505, 13451, 13369?\nAnswer: 13253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 + 14*z**2 - 7*z + 7. Let q(t) = -2*t**3 + 10*t**2 - 5*t + 5. Let j(i) = -5*a(i) + 7*q(i). Factor j(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1287*g**2 - 2*g - 1357.\nAnswer: 2574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*2*-6*4 + (4*(sqrt(500) + (2*sqrt(500) - sqrt(500))) - sqrt(500) - sqrt(500) - 6*sqrt(500)*-2))**2*-5 + 4.\nAnswer: -2249996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*(4 + -1). Suppose -8*l - 3 = -9*l. Put l, 4, o in decreasing order.\nAnswer: 4, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*c + 34, -2*y + 16 = -4*c - 0*y. Let q = c + 16. Suppose q*n + 8 = 6*n. What is the third smallest value in 0.1, n, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -21*m**2. Let n(k) be the first derivative of k**3\/3 - 124. Determine v(n(g)).\nAnswer: -21*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/(b\/b**(2\/5)))**(-35)*((b\/(b\/((b**1\/b)\/b)))**(2\/27))**(1\/35) assuming b is positive.\nAnswer: b**(52918\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169 and 533.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -245 - -981\/4. Let d = 0.1 + 0.9. What is the biggest value in a, d, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*46.7\nAnswer: 233.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hssenessh. What is prob of picking 1 e and 2 h?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/3))**(-3\/5))**(-3\/7) assuming b is positive.\nAnswer: b**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + a - 9. Let o be 4 + 2 + a + 1. Solve d = -5*s - 5, 0*d = s + o*d + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 - 20*i**2)*(-48 + 32 + 15 + 303*i**2).\nAnswer: -6060*i**4 + 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1079*x**2 - 34*x - 1087*x**2 + 5*x**3 + 35*x + 36*x**3 in the form t*x**2 + k*x + o + r*x**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -362 = -367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*l + 38*l + 6297 + 4890 = -131*l for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5015 - -5057. Calculate the remainder when 2096 is divided by v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22530 = -6*t - 22788 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/((-48)\/(-3312)). Which is smaller: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325186581.\nAnswer: 3, 23, 743, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/56)\/(3 + 24\/(-7)). Put 0.4, 0.5, 23, q in descending order.\nAnswer: 23, q, 0.5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nenz when four letters picked without replacement from {d: 5, n: 2, z: 4, e: 2}?\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*q + 3*a - 145, -3*q - 3*a + 195 = 0. Calculate the highest common factor of 270 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8619207 less than 243.35131?\nAnswer: -8618963.64869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13 = 4*i + 10, 3*u = -9. Suppose -4*r = -r + 15, -4*f - 3 = i*r. Suppose 7 = -p + 4*g, -5*g + 8 = -p - 2. Solve -f*s = -2*s - p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1457*i - 5186. Let q(p) = 4358*p + 15556. Let y(u) = 3*q(u) + 10*t(u). What is the first derivative of y(l) wrt l?\nAnswer: -1496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104548 and 1402.\nAnswer: 73288148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 9?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x + 2. Let y be (-1 + x - -2)\/(-1). Are 6 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5551*j**3 - 8*j**2 + 2*j + 18. Let p(k) = 2592315*k**3 + 3740*k**2 - 935*k - 8415. What is 2805*l(x) + 6*p(x)?\nAnswer: -16665*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.88874 days to nanoseconds.\nAnswer: 5519987136000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 96*p**2 - 121*p**2 + 8*p + 19*p**2 - 8*p.\nAnswer: -204*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 + 411\/5. Sort c, -4, 0.3 in decreasing order.\nAnswer: c, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 257 in -0.4, -2\/13, -21, -1, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42 + 6\/((-30)\/(-25)). Differentiate -195 + 69*a + 109*a - 24 - n*a wrt a.\nAnswer: 131","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154850 - 154850.00071879. Round v to five decimal places.\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145\/((28\/63*(-30)\/4)\/(3888\/2916)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 3*d - 6. Let p be -5 + (-4)\/((-4)\/3). Let o be v(p). Let s = -3 - -3.5. What is the nearest to -1 in 3, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 14) to base 9.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 291535915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**2*t**3 + 4*s**2*t**2 - 582*s**2*t + s**2 + s*t**3 - 2*s*t**2 + 13022*s*t - 2*s - 2*t**2 wrt s.\nAnswer: 8*t**3 + 8*t**2 - 1164*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 12*k + 40. Let v be g(-5). Suppose 3*i - 380 = v*p, -245 = -5*i + p + 403. Is i a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t - 150. Let j(h) = 15*h**2 + 2*h - 1. Let d be j(-1). Suppose -9*q - t = -d*q. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1668645, -4, 0.2, -2\/3 in descending order.\nAnswer: 0.2, -2\/3, -4, -1668645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 779926520*u - 149767882?\nAnswer: 779926520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 17 = 13. Suppose 3*i + r + 3 = 0. Let b = -3 - i. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -111, -776, -2005, -3798, -6155, -9076?\n\"Answer: -282*f**2 + 181*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + 97 - 88 - -19?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 5*x**5 - 50*x - 190*x**2 + 25*x**4 - 19*x**3 - 165*x - 75 - 8*x**3.\nAnswer: 5*(x - 3)*(x + 1)**3*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*((-528)\/(-44))\/(-6)*-18\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -36?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*q**3*t**3 - 11*q**3*t - 30*q**3 - 2*q*t**3 - 18243*t**3 + 363*t**2 wrt t?\nAnswer: -78*q**3 - 12*q - 109458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39241\/1378260 - 1\/4940. Which is greater: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkrr when four letters picked without replacement from {k: 1, b: 1, c: 1, a: 2, p: 1, r: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 60.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4*i\/i**(-3\/4))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6685*(-49)\/6860 - 47\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 6*c)*(-1 + 7 + 0)*(8*c - 2*c - 3*c) in the form t*c + l*c**2 + i and give l.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 - 1831.3.\nAnswer: -1777.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 - 50 + 75*m**2 - 45.\nAnswer: 75*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1609733304*z**2 - 1609733230*z**2 + 1.\nAnswer: 74*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(48)\/(sqrt(8) - (sqrt(8) + sqrt(88)\/sqrt(11))))\/((sqrt(243) + sqrt(243)*4 + sqrt(243))*5).\nAnswer: sqrt(2)\/270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4541 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224 and 9914704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d - 1676?\nAnswer: -16d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -112548888 divided by 18\nAnswer: -6252716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 957 by -957.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -314 - -2?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 188\/(-47)*(-1)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 7*q + 20. Suppose 5*w + 3*t = 5*t + 4, 4*w - 23 = -5*t. Solve 3 = w*o + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + -10)\/(-2) + (54 - -2914)?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in years?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18231264 divided by -6?\nAnswer: -3038544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*v - 28, z + 4*v + 13 = -3. Suppose -214 - 122 = -21*f. What is the greatest common factor of f and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -0.956?\nAnswer: 0.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 138473 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1694 (base 13) to base 15\nAnswer: -ec2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**4\/4 + 2*f**3 - 7*f - 20. Give h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o. Let c(n) = -1494*n + 819*n + 745*n. Calculate c(t(b)).\nAnswer: -350*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460 and 15339620.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 10 = -o, -152*o - u = -153*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 292383\/551 >= 530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + 10*n - 26*n**3 - 1 - 2831*n**2 + 2829*n**2 to l*n**3 + y + k*n**2 + u*n and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**2 + 20*i + 2. Let l(q) = q**2 - q. Let s(o) = 6*l(o) + y(o). Let z = -85 - -93. Is s(z) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1563*d**2 + 2*d - 6838?\nAnswer: 3126*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -77\/4857?\nAnswer: -77\/4857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b7a2 - -e?\nAnswer: -2b794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 7*w**2 + 7*w + 9. Let b be z(-6). Suppose 5*o + 5 = -2*j + 2, 0 = -b*j + 3*o - 15. What is the tens digit of (-20 - 1)\/(6\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -26*t**3 - 3*t - 6. Let c(v) = v + 2. Give -12*c(r) - 4*x(r).\nAnswer: 104*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + 482. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 0*r + 2*r)*(4 - 5 + 7)*(0*r**2 - 2*r**2 + 4*r**2).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**10*y\/(y*y**(-6))*y*y**(5\/9)\/(y*((y\/(y\/(y*y*y**(4\/9))))\/y*y*y)\/y) assuming y is positive.\nAnswer: y**(127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 9*u**2 - 2*u - 3. Let g be (45\/20)\/((-1)\/4). Suppose 5*f = 39 + 1. Calculate the remainder when k(g) is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -35. Let y(j) = 32*j**2 + 2*j. Let x be y(-1). Let s be x\/35 - (p - 0). Is 1 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-6 + (0 - -1)). Suppose 30 = 6*f - f + c*b, -f + 5*b = 6. Let n(j) = 6*j - 2. Calculate the remainder when n(f) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(25\/2)\/y)\/(y\/(y\/y**(7\/2))) assuming y is positive.\nAnswer: y**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 + 20 = 2*b, 2*b - v - 1 = 0. Let z(d) be the first derivative of 1 + 0*d - 1\/2*d**2 + 1\/3*d**b. Find the second derivative of z(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.958353 and 269.9.\nAnswer: 277.858353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5, x - d - 7 = -3*d. Calculate the common denominator of 3 - (x - (-476)\/(-80)) and -131\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p - 1. Let w(c) = c - 10. Let q(n) = -n + 9. Let a(u) = -3*q(u) - 4*w(u). Let l be a(8). What is the tens digit of f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/339 or 0?\nAnswer: 5\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-2\/5)\/u)\/u)\/u*u**(-3))\/((u\/(u**(1\/2)\/u))\/((u\/((u**1*u)\/u*u*u))\/u*u*u)))**(-1\/7) assuming u is positive.\nAnswer: u**(89\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32323 + 0?\nAnswer: -32323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -503, -512, -521, -530, -539?\n\"Answer: -9*p - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 1, -1\/2, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5)\/(b\/(b\/(b*b*b*b**0))*b))\/(b**0)**(-2\/75) assuming b is positive.\nAnswer: b**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -213b9?\nAnswer: 213b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*h + 34*h = -42*h + 5120 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049016 + -2?\nAnswer: 1049014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45dd (base 15) to base 7.\nAnswer: -61150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 50 to 0 dps.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18 + -357444.\nAnswer: -357444.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y + 14. Let x(s) = -4*s - 7. Calculate -3*j(i) - 5*x(i).\nAnswer: -i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(75))*-5.\nAnswer: -25*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*y - 2*y - y**2 + 179*y**3 - 177*y**3 as u + b*y**2 + t*y**3 + f*y and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -612 by -55.\nAnswer: 612\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 82 = 4*g - 2*d, 2*d = -2. What is the lowest common multiple of g and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 1, n: 2, b: 1, p: 2}. What is prob of sequence ban?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2301972?\nAnswer: 2, 3, 191831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 27, 97, 2, -2 in decreasing order.\nAnswer: 97, 27, 2, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 11. Let k(n) = 31*n**2 - 2*n + 1. Let c be k(2). Let d = 483\/4 - c. What is the nearest to d in l, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 127712.\nAnswer: 893984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011001101011 (base 2) in base 14?\nAnswer: 3827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 s, and 1 w when four letters picked without replacement from wswwwwwwwwwwwjww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0288 - 200.9712. Let v = -200 - x. Sort 3\/4, -2\/23, v, 4 in decreasing order.\nAnswer: 4, v, 3\/4, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwl when three letters picked without replacement from lwllpepplllellzwz?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.497 - -0.397. What is the second biggest value in 1, h, -4, -1, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*a - 103*a - 418*a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*n**3 - 2*n**3 - 2*n**3 + (3*n**2 - 6*n**2 - n**2)*(0 + 0 - 2*n) - 23*n**3 + 35*n**3 + 4*n**3.\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -2 + 2*p + 0*p**5 + 19\/30*p**6 + 7\/2*p**3 + 0*p**4 - 1\/2*p**2. What is the second derivative of q(a) wrt a?\nAnswer: 228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*l - 14642996, 70*l = -5*f + 72*l - 24404998. What is f rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 13*y**2 + 41*y + 351. Calculate f(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3134?\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 356 and -11.\nAnswer: -3916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 43*d + 668. Calculate c(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 - 7*a - 8. Let d be w(-1). Suppose d*f + 6 = 0, 3*m + 3*f = 7*f + 116. What is the highest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2*(6 + 4 + -9). Suppose -24*c = -23*c + w. What is the least common multiple of 168\/27 + ((-16)\/(-36))\/c and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.6966 rounded to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-4)*12\/10. Suppose q*l - 9 = -0*l. Suppose 0*h + h = -4*k + 32, 2*k - l*h - 2 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -3*i + 70 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -4*s + 0*s**2 + 1\/3*s**3 + 0. Let o(g) = 2*g**2. Determine w(o(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*r - 9, 0 = 3*s - 2*r - 77 + 29. Let x = 20 - s. Suppose -295 = -7*b + x*b. Calculate the remainder when b is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38981116111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 - 154. What is the hundreds digit of (1494\/4)\/(-3)*p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -582 or -581?\nAnswer: -582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.68 and 4.\nAnswer: -6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-50)\/114 - 2\/(-6). Let i = 44\/57 + x. Factor -2\/3*o**3 + 4\/3 + i*o - 4\/3*o**2.\nAnswer: -2*(o - 1)*(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -660 + 657 + (-46)\/(-18).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504303295.\nAnswer: 5, 11, 1483, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 t when three letters picked without replacement from {t: 11, k: 3, o: 1}.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 9*k - 66. Is c(16) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -591885 divided by 45?\nAnswer: -13153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47448607981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 5 + 6 + -3 - (-7 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830351933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-303)\/(-202))\/(3\/(-14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9365*l - 253084.\nAnswer: 9365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m + 125 = 0. Let d(k) = k**2 - 3*k - 5. Let v be d(5). Let o(f) = 3*f - 6. What is the remainder when m is divided by o(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 81 - 64 + 85 + 5*o. Let m be j(-21). Which is smaller: -15\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22613224, 22613227, 22613232, 22613239, 22613248, 22613259?\n\"Answer: x**2 + 22613223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -0.2 (b) 0.041 (c) 3\/4 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006434518 to 6 dps.\nAnswer: 0.006435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -55, -129, -203, -277?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 5*v + 4*s - 24, 5*v = 3*s - 60. Which is the biggest value? (a) v (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66378 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*t + 1 - 10*t**3 + 788*t + 3*t**3.\nAnswer: -7*t**3 + 831*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3 - 6205*k**2 - 1174475*k - 60771315 = 0. Calculate k.\nAnswer: -1023, -109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654 (base 9) in base 6?\nAnswer: 20334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4428?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.049 (c) 4 (d) 6.95 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 8 - 68. Let v be 28\/(d\/9 + -1). Suppose 5*h = v + 13. What is h rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 22*p + 43. What is a(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460256276?\nAnswer: 2, 115064069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o. Suppose o = -3*h - 2*p + 60, -4*h - 6*p + 2*p = -76. Suppose m - 10 - h = 0. Calculate the greatest common factor of m and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000111 - -111?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1) + (2 + -14 - -7). Let m(y) be the first derivative of -2 - 1 - 9*y + 2*y**2 + 8*y. Give m(a).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = y + 8, 1826*y - 1826*y + 3*s = 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 1 (c) 0.1 (d) 0.2 (e) 29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69157 is divided by 13816?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1020, 3771, 8346, 14745, 22968, 33015, 44886?\nAnswer: 58581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - y + 7 = j, -3*j - 5*y = 1. Suppose -3*l - l = -2*f, j*l = -5*f. Suppose o + 3*o - 140 = f. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(5\/(-2)))\/((-3)\/39). Suppose -h - 14 = -2*n. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 11. Suppose 360 = p*f - f. Suppose 19*d - 148 = 23. What is the highest common divisor of f and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from xxgjejxggejxxexjjj.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 j when three letters picked without replacement from jzzjzjzzzz?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92785?\nAnswer: 5, 7, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3742879 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41475, -41490, -41507, -41526, -41547?\n\"Answer: -d**2 - 12*d - 41462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 1136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*o + w - 25 = 113*o, -4*w = -5*o - 58 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -28 - 18*h**2 - 93*h + 5*h**2 + 89*h + 12*h**2. Calculate r(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1017 + 63.4017. Let v = h - 68.91. What is v rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = r + 14, -3*t = -4*r - 10 - 12. Let d(m) be the second derivative of m**5\/20 - m**3\/6 + m. Is d(t) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577925979.\nAnswer: 3, 613, 314261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/122750 and 4\/12275.\nAnswer: 122750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 76677.71 hours?\nAnswer: 276039756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4841 - -4868. What is the remainder when 4481 is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7812.066 years in decades?\nAnswer: 781.2066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 409 and 298161.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-3) - 10\/2. Let u(p) = -3*p + 33 - 38 - 6*p**2 + 17 - p**3. Is 15 a factor of u(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 9*j**2 + 5*j + 7. Let b be l(-10). Let c = b + -56. Solve 4*g + 15 = -c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -0.05. Let i = 0.07 + p. Let v = -0.16 - i. Round v to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25184 and 15292984?\nAnswer: 6296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 7. Let n = 74 + -70. Which is the closest to -2? (a) r (b) n (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 458127038 to the nearest integer?\nAnswer: 771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-160)\/(-1 - -5) - 4. Let z = u + 46. Let k be ((-6)\/4*(-80)\/(-15))\/(-2). Solve 0 = -5*v + 5*x - 10, k*v - z*x - 2 = -0*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29922119 and 0.8?\nAnswer: 23937695.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**4\/3 + l**3\/3 - l**2 - 5*l\/3 - 2\/3 = 0 for l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7021 = 158*t + 7*t + 248*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 1. Let r = 105 + -105. Which is the closest to p? (a) 2\/7 (b) 2\/11 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84 - 2) + 32 + (-2 - 47).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3282 divided by -12858\nAnswer: -547\/2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jppt when four letters picked without replacement from {p: 3, t: 9, j: 7}.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-2))\/((-2)\/((-296)\/3)). Let j = -156 + v. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6495 = 242*k - 1486*k - 1014*k + 61245 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11496 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {e: 9, x: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37393200709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 205 + -205. Is 47 a factor of p + 1 + (3288\/2)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 13*n - 70. Let l be o(18). Let d(b) = 2*b**3 - 6*b**2 - 4*b - 8. Let g be d(4). Calculate the greatest common factor of l and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/4 - 5*o**3\/3 - 5*o**2\/2 + 3*o - 2. Calculate b(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**2 + 133*t + 130 = 0.\nAnswer: -130\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 4*w + 36, -j - 32 = -4*j - 5*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.2 (c) 223 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 9:32 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4 - -3)*5)\/(2 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 - 96*z**2 - 99*z + 57. What is j(49)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -15. Let q(b) = -b**2 - 8*b. Let j be q(c). Suppose -74 = -2*o + n - j, -3*o - 3*n = -84. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 28 + 12. Suppose 2*i - 6*i - t = 0, 2*k = -i + 31. Calculate the greatest common factor of 36 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v. Let u(p) = 137*p**2 + 772 - 22*p**2 - 378 - 393 + 2*p. Give z(u(t)).\nAnswer: -230*t**2 - 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -540 - -1005. List the prime factors of m.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h + q = 27, -1 = -h - 3*q. Let r = h + -1. Let x(d) = d**2 + 2*d + 1. What is the remainder when r is divided by x(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/57))**(-24)*(g\/g**(-5\/3))**32)**(10\/11) assuming g is positive.\nAnswer: g**(49120\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 1\/4 (c) -2 (d) -6\/1049 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d. Let j be ((-1 - 2) + 2)\/(4\/4). Let l(p) = p**2 - 2*p - 1. Let q(s) = -16*s - 8. Let o(b) = j*q(b) + 8*l(b). Calculate o(m(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*o**3 + 131*o**3 - 12*o - 77*o**3 wrt o.\nAnswer: -78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242, 205, 144, 59, -50?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*h**2 - 96*h**2 + 51*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22968689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -135 (b) -1 (c) -0.21 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*k + 12 - 12)*(40*k**2 - 1 + 38*k**2 - k - 74*k**2) as q*k + v + x*k**2 + w*k**3 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 989005 and 1969090?\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 249 + 249.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5750093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (0 + -11) - (-3 + 5 + -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155 + -224. Let k = 135 + a. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -4*o**3\/3 - 1. Let n(m) = -2*m**3 - 6*m**2 - m + 3. Let c be n(-4). Let f(q) = c - 87 + 4*q**2 + 48. Determine f(u(l)).\nAnswer: 64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48\/11 - 188\/33. Let l = 0.06 + -2.06. Let h = 547\/5 - 109. What is the nearest to 1 in l, o, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tv when two letters picked without replacement from yvtt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (436*k**2 - 297*k**2 + 940*k**2)*(2 - 4 + 0)*(-4*k + 3*k - k).\nAnswer: 4316*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/2 (b) -4\/13 (c) -1\/8 (d) 6 (e) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -545, -1380, -2641, -4382, -6657?\nAnswer: -9520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 98109.14nm?\nAnswer: 0.00009810914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1140 and 4?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 118. Let w be j(-45). Suppose -w*m = 1463 - 12971. What is the hundreds digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 627*d - 629. Let p be t(1). Sort 2.66, p, -3, -1\/2, 0.3 in ascending order.\nAnswer: -3, p, -1\/2, 0.3, 2.66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -941*r + 18771. Determine d(20).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - 3*w + 3 - 2)*(54*w - 24*w**2 - 54*w) to the form l*w**2 + z*w + m*w**3 + v and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 5:55 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**8\/2856 - t**7\/595 - t**6\/340 - t**5\/510 - 4*t**2. Let w(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014212 to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 7*f - 256. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (4 - 1)) + 1. Let o(s) = 2*s**2 + 8*s + 122. Let n(p) = p**2 - 2*p. Let f(w) = -3*n(w) + o(w). Let b be f(-6). Solve 3*d + b*d + 20 = g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -5 (c) 43\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**7\/126 - t**6\/45 + t**4\/18 - t**3\/18 - 3*t. Solve z(w) = 0 for w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)*f*f**(-6)*f)\/(f**(2\/3)\/(f\/((f*f**(-1))\/f))) assuming f is positive.\nAnswer: f**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220250 = -124*m - 43178. What is the lowest common multiple of m and 630?\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)\/q**(-2\/55))\/(q**(-1\/5))**(-11\/7) assuming q is positive.\nAnswer: q**(278\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.51 rounded to one decimal place?\nAnswer: -10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -176 (b) -1\/9 (c) 1181.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 1 - -6*(-1946)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m. Let b(z) = 608*z**2. Determine b(k(g)).\nAnswer: 2432*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 559*f - 2 - 2 + 560*f + 9*f**2 to the form l + t*f**2 + i*f and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14336 - -3?\nAnswer: 14339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttci when four letters picked without replacement from {t: 2, i: 7, c: 1, k: 1, m: 3, q: 4}.\nAnswer: 7\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 22*q + 20. What is i(11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - 11*g - 20. Suppose z - 9*o = -g*o + 28, 0 = -4*z + 3*o + 129. Is (-118)\/(-3) + z\/9 + -3 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -212. Let r = b - 1435\/9. Sort r, -5, 2\/7 in descending order.\nAnswer: 2\/7, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = 20671 - 18783. Put 0, 10, -2, s in ascending order.\nAnswer: -2, 0, 10, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**5\/20 - 7*m**4\/12 - 4*m**3 - 3*m**2\/2 - 33*m. Let l be k(-10). Is (-15)\/(-3) - l\/11 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, -3 in descending order.\nAnswer: -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = 5. Let y = 1259 - 193. Let c(j) = 1 + 358*j + 352*j + 355*j - y*j. What is c(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 468869, 937748, 1406631, 1875518, 2344409?\nAnswer: 2813304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 90\/49? (a) -15 (b) -1\/4 (c) 1\/4 (d) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 688.\nAnswer: -4816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18046, -36087, -54128, -72169?\n\"Answer: -18041*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10397 is divided by 871.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -83. Suppose f = 3*r + 2. Solve -2*k = -k + t - 2, 0 = -r*k + 4*t + 37 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - a**3 + 5*a**4 + (0*a + 0*a + a**3)*(2*a + a - a) + (-2 + a**2 + 2)*(0*a**2 - 4*a**2 + 2*a**2).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -15*s**4 + 2312*s**3 - 99668*s**2 + 790848*s - 103680 = 0?\nAnswer: 2\/15, 10, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -7.55538?\nAnswer: -10.55538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*d = -3476, 0 = 2*r - 4*d - 1600 - 1874. Is r a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + s - s + (5 - 18 - 2)*(0*s + 5*s - 3*s) to u*s + j and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*u*x**5 + 42*u*x**3 + 67277*u*x + x wrt x.\nAnswer: -1060*u*x**3 + 252*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20003 (base 6) to base 7\nAnswer: -10365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-273)\/25 + 9 + -6\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99262?\nAnswer: 2, 31, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfyy when four letters picked without replacement from {f: 9, y: 11}?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222174 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 5. Suppose -2*y + 5 = -y. Let c be b(y). Let j = -8 + c. What is the highest common divisor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -8*o + 16. Let a(u) = -1. Let f(p) = 16*a(p) + s(p). Let c(z) = 3*z. Let x = -29 - -15. Calculate x*c(r) - 5*f(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -5*d - 9, 2*z - 310 = 5*d - 293 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.019, 78527, 5 in descending order.\nAnswer: 78527, 5, 0.019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 + 6*n**2 - 32*n**2 + 5*n**2 - 20.\nAnswer: -12*n**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -338, -667, -994, -1319, -1642, -1963?\nAnswer: -2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -455, 2 in ascending order.\nAnswer: -455, -1\/12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p - 1. What is the remainder when f(3) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - m**2. Let z be d(0). Suppose 0 = -z*k + 4*k - 28. Solve r - 4 = 0, 2 = n - r + k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1134)\/441)\/((1806\/(-784))\/(-43)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -22*m**3 + 0*m**2 + 2*m**2 - 4*m**3 + 5 + 25*m**3. Let y(s) be the first derivative of 3*s**4\/4 - 2*s**3 - 14*s - 12. What is 17*g(z) + 6*y(z)?\nAnswer: z**3 - 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 7*z + 4*z + 6*z - 3.\nAnswer: 3*z - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5 - 4*q**4 + 4*q**3 + 2*q**2 - 5*q + 2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.84 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 77, 147, 265, 443, 693, 1027, 1457?\nAnswer: 1995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 802.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -46124603, -46124546, -46124487, -46124426, -46124363?\n\"Answer: i**2 + 54*i - 46124658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -586.29351 and 5.\nAnswer: -2931.46755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*g = 2856, 5*c + 2*g - 14300 = -3*g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -5. Suppose y*q + 16 = -148. Let p = q - -108. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*t**3 + 268*b*t**2 + 544*t**3 wrt b?\nAnswer: -2*t**3 + 268*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 32*w = -216. Suppose -2*l = -13*u + 11*u + w, 2*l - 5*u + 39 = 0. Sort -5, l, -1\/3 in increasing order.\nAnswer: l, -5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6*-141*1. Let a = h + -47. Suppose a = 11*g - 5*g - 960. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10385\/9 - -1154. What is the closest to -2\/9 in 4, -3, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68442529*w**2\/8 + 99946113*w\/2 - 145950561\/2.\nAnswer: -(8273*w - 24162)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-39))\/(2\/3). Let o = 7.0284 - 7.1284. What is the closest to o in 2, -4, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Let b(w) = -4 + 7 + 3*w + 10. Let a(l) = b(l) + 6*z(l). Is a(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366564 divided by -5554?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14 - 2) + 1*2. Let w(j) = -j**3 - 2*j**2 + 6*j - 3. Let c be w(-5). Calculate the highest common factor of c and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2635 less than -0.16?\nAnswer: 2634.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45086\/4 - (-392)\/112 - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 0)\/(1 + -3 - 110\/(-15)). Factor 3\/8*h**3 - 9\/8 - 15\/8*h - j*h**2.\nAnswer: 3*(h - 3)*(h + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 64399 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 5*l**2 - 3*l + 7. Let n be t(-4). Suppose 5*m**2 - 2*m**2 + 3*m**n - 8*m - 3*m**4 + 5*m = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4650 and 3943177348?\nAnswer: 3943172698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 67. Let w(c) = 2*c - 65. Determine -5*w(l) + 4*z(l).\nAnswer: -2*l + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -230 + 33*m - 78*m + 23 + 36*m. Let n be j(-23). Let l = 65 + -43. Solve 3*v + 7 - l = n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(208))*-5 + sqrt(208) + (sqrt(208) + 0 + sqrt(208))*-6 + -4)**2.\nAnswer: 512*sqrt(13) + 53264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0280743789 times 0.5?\nAnswer: 0.01403718945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 1, 320 in ascending order.\nAnswer: -10, -5, 1, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -718, -783, -908, -1093?\n\"Answer: -30*x**2 + 25*x - 713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 - -3.9. Which is the nearest to -0.4? (a) -1 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1317, 5, -2 in decreasing order.\nAnswer: 5, -2, -1317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (21 + -25)\/(-2*3\/6). Solve -5*l = 5*j - 10, j = -3*j + o*l - 24 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -612 - -618. What is the highest common divisor of 66 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 - -43. Sort -1, z, 4, 2.\nAnswer: -1, z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 432*i + 454*i + 551*i + 169*i - 10.\nAnswer: 1608*i - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 14 = 5*h - 4*u, 3*h - 16 = 5*u. Calculate the least common multiple of 42 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169386 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)*2)\/sqrt(10) - (sqrt(3) - (sqrt(3) - ((1 + sqrt(3))*-1 - sqrt(3)))).\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-75)\/(-9)))\/(8\/10)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 - 35*w**2 - 18*w - 8. Let h = -8277 + 8295. Calculate d(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1914)\/3190)\/(9\/(-380))*3\/10?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 5 - 16)*((5*u - 2*u - u)*(2 - 4 + 1) - 2*u - 2*u + u).\nAnswer: 140*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.721107 months in decades?\nAnswer: 0.156009225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*q - 29 - 64 = 0, -2*l + 4*q = -42. Suppose 11 = 5*i - 0*i - g, -5*i - 3*g = -l. Suppose 0 = -i*t - t + 24. Solve -2*s = s - t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/12))**(2\/15)\/((b\/(b*b*b**4*b))\/((b**(-16)\/b)\/b)))**(7\/3) assuming b is positive.\nAnswer: b**(-7553\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**(-2\/11)*x)\/x*x)**(-23\/5)*x**(3\/4)*(x*x**(-5))\/x*x assuming x is positive.\nAnswer: x**(-787\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -23395?\nAnswer: 3\/23395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (897\/143 + -7)\/(10\/210). Which is the second biggest value? (a) v (b) -0.04 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31566 - 20752. Let o = 244918 + v. What is o rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 28. Differentiate -7*j**4 + 15*j**4 - k*j**4 + 6 with respect to j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9009, 17972, 26933, 35892?\n\"Answer: -j**2 + 8966*j + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 20.3. Let l = -7 + 1. Let a = -8 - l. What is the third smallest value in z, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 297 - 15. Suppose 4*y = -a + f, -5*a - 4*y + 0*y + 1346 = 0. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4, 1, -130\/9.\nAnswer: -130\/9, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*y - 104*y + 699*y - 103*y - 395*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, m: 3, a: 1, g: 1, t: 1, h: 2}. Give prob of sequence hag.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3911, 7792, 11625, 15386, 19051, 22596, 25997?\nAnswer: 29230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 12 = 3295*n - 3293*n, i = -4*n - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120100 - -110221101220?\nAnswer: 110220211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/4 - (-2 + -12 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26197.293 months in millennia?\nAnswer: 2.18310775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20496943 to the nearest integer?\nAnswer: 4527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 10, -5*v + 10*v = 5*k - 45 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**3\/3 - 2*i**2 - 4*i + 13. Determine d(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5393475*a - 10786950*a + 5393553*a.\nAnswer: 78*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*k + 2*p = 127*k + 23, 4*p + 24 = 4*k. Sort 1, k, 8, -38 in descending order.\nAnswer: 8, k, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -60\/253?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 7*b - 22*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -444848.4924 rounded to the nearest 10?\nAnswer: -444850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = 5*w, -5*z + 17 = 7*w - 4*w. Which is the nearest to -6? (a) -3 (b) z (c) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 + 3*u**3 + 3*u**3)*(-3 + 7 + 1).\nAnswer: 50*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 7) to base 6\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9adacc (base 15) in base 4?\nAnswer: -130023130332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2177965 to 4 decimal places.\nAnswer: -0.2178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 23 + 33 = 0. What is the tens digit of -12*(-1 + -4 + q - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43542 by -14514.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p + 7*p**2 - 25*p + 506*p**2 + 130 + 64*p**2 + 3*p wrt p?\nAnswer: 1154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f*j**2 + f*j + 40787938*f + 371*j**2 - 1008*j wrt j.\nAnswer: -16*f*j + f + 742*j - 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/460 and 105\/44.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18200 rounded to the nearest one hundred?\nAnswer: -18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 5*r**2 - 3*r - 4. Let b be d(3). Suppose 0*o = b*o - 25. Let q(z) = -5*z**3 + z**2 + 3*z + 1. Let x be q(-1). Solve x*l + 15 = -o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 170.381 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 481172 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(5\/3)\/l)**12)**(-15))**(1\/9))**(3\/10) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-8) + 0 - 2948\/1072.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = u + 3*l, 7*l - 3*l = -5*u - 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 13 = 5*s, -3*d + 3*s = -6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - q**2 - 8*q - 17. Let v be y(-3). Suppose 5*z = 2*z + 12. Let u = z + v. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 8)*(-5*l + 5*l + 11*l**2) + (l - 4 + 4)*(3*l - 3*l - 1 - l).\nAnswer: -45*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -2*o**3 - o**2\/2 - 18. Give g(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r + 6 = 0. Suppose h - 7 = -3. Suppose -h*v + 7*v = 6. Solve 4*n + r = v*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 + 2 - 12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -174340076852 minus 6810?\nAnswer: -174340083662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - 2*h**3 + 511819 - 511820 + 4*h + 0*h as o*h**4 + c*h + y*h**3 + d*h**2 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-6)*(-99)\/176*4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 141 by 3.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9289080 divided by 5\nAnswer: -1857816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**4\/4 - 4*b**3\/3 - 11*b**2 - 42*b - 2. Is j(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35325068 - 111\nAnswer: -35325179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -186 - -189. Which is the closest to -0.01? (a) 2\/3 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 91132?\nAnswer: 91134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3396740, 3396758, 3396776, 3396794?\nAnswer: 3396812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -50 + -36 + 84 + 45\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.6? (a) 2 (b) -746.9 (c) -1\/4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78 * -0.4.\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 - 46*g + 34. Let z be q(-16). Let u(r) = r - 7. Let o(i) = -4*i + 26. Let t(p) = z*o(p) + 9*u(p). Give t(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8140006 to the power of 1\/2, to the nearest integer?\nAnswer: 2853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 13*p**2 - 39*p + 7. Calculate the remainder when 3441 is divided by k(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*j + 5. Let a be (-1 + j)\/(-4 - -5). Solve 4*p - v - 8 = 0, -3 = -2*p + a*p + 2*v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176226237 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174229, -173685, -173141, -172597?\nAnswer: -172053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (490 + -484)*((-2)\/(-970))\/(24\/(-40)).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10261 - 3?\nAnswer: 1025b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 19*f - 20*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3488163 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2. Let u(b) = 4*b - b + 0*b - 4*b. Give v(u(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -71974*v + 4003 wrt v.\nAnswer: -71974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2013 and 5115.\nAnswer: 312015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-5))\/(2\/20). Let g = -48 - -55. Suppose z*q = g*q. Solve q = h - 3*y - 14, 3 = -y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5767 is divided by 314?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2148*h - 27741. Determine c(12).\nAnswer: -1965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 186, 744 in ascending order.\nAnswer: -9, 186, 744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3)*1*(-6)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 12*i + 90. Let g be u(16). Calculate the greatest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 20 = -0*k - 4*i, -k = i + 5. Find s such that -14 - 15*s + k*s**3 - 3*s**2 + 5 + 3*s**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -21*t - 58. Let q(w) = -3*w**2 - 6. Let c(y) = -4*y**2 - 7. Calculate t*c(u) + 6*q(u).\nAnswer: -2*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/3 + 1 + 2. Let l be 10\/(-20)*4\/(-2). Let i be 2\/(-6)*(l - 0). Which is smaller: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a meter in centimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -123928383407105.\nAnswer: -123928383407104.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, -4, -28, -70, -136, -232, -364?\n\"Answer: -q**3 - 5*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*sqrt(576) + sqrt(36) - (sqrt(36) - (sqrt(36) + 6*(sqrt(36) - -1*sqrt(36)))))\/(1*(2*sqrt(1452) - sqrt(1452))).\nAnswer: 12*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 139 + -132. Suppose u = 2*i + 22, r*i - 40 = -4*u + 3*i. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -33925, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 1. Let w(d) = d**2 + d + 7. Let v be w(0). Suppose v = -2*u - 3*f, -5*u + 2*f + 13 = 2. Let g(x) = 5*x - 3. Determine u*g(t) - 3*h(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 divided by -279?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/7 - 2) + (-720)\/(-120).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -505 - -4543\/9. Which is the closest to -1\/27? (a) 2 (b) u (c) 3 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**3\/3 - 11714*i**2\/3 - 341008*i\/3 - 745560 = 0.\nAnswer: -19, -10, 5886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5975598*i + 14948266?\nAnswer: 5975598","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 20*q - 1501 + 1501 + 2*q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h - 3. Let m(u) = u - 6. Let q(v) = -3*m(v) + 5*x(v). Let k be q(8). Let o = -11 + k. Solve 0*s - o = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35104115 a multiple of 1121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -93. Let g = -22 + w. Let j be (4\/(-6))\/((-2)\/12) - g. Solve 1 + 3 = -2*c, -3*v - 4*c = -j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 4) + (-4)\/(-1). Suppose -3*s - 2*q + 122 = 0, -m*s + 3*q = 6*q - 120. What is the remainder when s is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/(-50))\/(3\/(-30)). Let f = 54 - 44. Let j(l) = 17 - f - 10 - 5 - l. Let z(d) = -2*d - 15. Give w*z(x) - 11*j(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1575 and 5?\nAnswer: 4.8425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 40*r + 1602. Let g be n(-40). Solve -g*q + 3*k - 11 = 0, 5*q - 9 = 4*k - 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, w: 6, j: 1, u: 2}. Give prob of sequence wu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 3:24 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -15*m - 1. Let n = -4 + 3. What is the remainder when 22\/(-44)*(0 + -3 + -79) is divided by w(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/6 - (4696\/(-6) - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -16. Suppose 0 = 2*n - 7 - f. Suppose -21 = -2*w + 17. What is the remainder when w is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/3 + 3484*c - 20928 = 0.\nAnswer: -5232, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1216) + 3 + sqrt(1216) - (sqrt(1216)*-1 + 0)) + -2.\nAnswer: 4 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2*w**3 + j**2 + 220*j*w**3 - 465*w**3 wrt j?\nAnswer: -4*j*w**3 + 2*j + 220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -17.95. Let g = -119\/3 - -583\/15. What is the nearest to -1 in o, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219.\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z - 36. Let j be k(-5). Let y(s) be the third derivative of -1\/21*s**3 + 0 - 1\/70*s**5 + 0*s - 2*s**2 - 1\/21*s**j. Factor y(r).\nAnswer: -2*(r + 1)*(3*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 + (117 - (84 + -25)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -9*t + 9. Let z(r) = r - 1. Let g(d) = 3*m(d) + 21*z(d). Let u(b) = 7*b - 7. Suppose 7*s + 25 = 2*s. Calculate s*u(w) - 6*g(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4268747.\nAnswer: 7, 609821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5977 is divided by 196\/(-6)*9\/(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 320409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1822, 3642, 5462, 7282, 9102?\n\"Answer: 1820*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + -4 + (-1 + sqrt(19) + -3 + sqrt(19))**2*-6.\nAnswer: -559 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 168, 164, 160, 156?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -380 * -6.3237\nAnswer: 2403.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -26, -42, -58, -74, -90?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296891862 and 699?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**2 - 28*g + 105. Let m be t(4). Let c = m - -471. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 11, m: 9}. Give prob of sequence ma.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-5\/6))\/t)\/t**(2\/7))\/((t\/t**2)\/((t*t**(1\/6)*t*t)\/t)) assuming t is positive.\nAnswer: t**(43\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 4. Let r = -1 - d. Solve a - 14 = -3*u, -r*a + 1 = -3*u - a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2123)\/11580 + -2 + (-116)\/(-60). Which is the fourth smallest value? (a) 0.3 (b) u (c) -0.3 (d) -7.5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 8*u**2 + u + 10. Let f be y(-8). Suppose -2*i = f*i - 8. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -50*a - 20. Let f(d) = 13*d + 5. Calculate 4*b(y) + 15*f(y).\nAnswer: -5*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -7a?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 15 + 2 + 6*g**4 + g**4 with respect to g.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1561 + 393 = 5*s, -f + 3*s = -497. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 39*j**3 - 3828*j**2 + 2*j - 28400483.\nAnswer: 117*j**2 - 7656*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*i = -23346, -31*i = 5*a - 35*i - 29202. List the prime factors of a.\nAnswer: 2, 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 2, s: 5, r: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnx. Give prob of sequence nxn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 8081?\nAnswer: 8081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0355501 to three decimal places.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*w**4 - 11*w**3 - 11*w**3 + 19*w**3 in the form t*w**2 + n + y*w**3 + f*w + d*w**4 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*(-9)\/(-18).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (11 - 18) - -30.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 9*q + 15. Let s be j(-10). Is 28 a factor of (-5)\/s - (-5043)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - 2. Let m be (-1 + 2)*2\/6*9. Let q = -0.02 + -1.98. Which is the smallest value? (a) n (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -15744\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 336 = -13*j - 14*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**3 + 1. Let t be b(-1). Let w(c) = c. Let q(h) = -h**3 + 2*h. Let v(n) = t*w(n) + q(n). What is the second derivative of v(j) wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**4 + 80*m**3 + 326*m**2 + 420*m.\nAnswer: 2*m*(m + 3)*(m + 7)*(3*m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 2, m: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 3, 278 in ascending order.\nAnswer: -5, -4, 3, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -115712*v + 115710*v + 29, 0 = -2*n + 3*v - 60 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 11121221222?\nAnswer: 11121222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69932 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43890*t**3 + 21 - 48 + 43894*t**3 + 27.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o + 1 + 4*o + 1. What are the prime factors of f(-10)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1783*s + 169*s - 950*s - 164096 = 0 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3227 is divided by 300.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 53664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 20. Let q(k) = o*k - 142*k + 71*k. Give q(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/231 or -1509?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 27*b + 23*b = 14, 0 = 3*d - 3*b + 21 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 6. Let o(v) = -v**3 + v**2 - v. Let s(c) = 7*c**3 - 3*c**2 + 8*c. Let j(m) = -6*o(m) - s(m). Give j(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*(80\/(-325))\/(6\/15).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -3*c - 2*w, 0 = 5*c + 3*w - 7. Let r = -0.29 + 0.79. What is the third biggest value in r, c, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 669, 5, 9 in decreasing order.\nAnswer: 669, 9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - (5 + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17594*a + 17577*a. Determine l so that a + 2\/7*l**2 + 2\/7*l = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 418641 + -3374269\/8. Let c = i - -3138. Calculate the common denominator of 66\/(-9)*3\/(-5) and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8 + h - 8 + 5. Let b be c(0). Find the second derivative of -7*n**2 - 7*n - b*n + 25*n wrt n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6705 - -604?\nAnswer: -6101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 10:08 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 + 6502.4695.\nAnswer: 6587.4695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1438 - -2.1502. Let j = n - 2. Round j to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -16. Let x = c + -8. Let y = x + 3.2. Sort y, -1, -0.2 in descending order.\nAnswer: y, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107631013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 243*s**5\/20 + 17*s**4\/24 + 73*s**3\/6 + 40*s**2. Is h(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:55 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002102101 - 11202?\nAnswer: 2002020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380.3 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.4803333 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkqqhhhhkoqhqhh. What is prob of picking 1 o and 1 q?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 3*o**2 + o - 1. What is the lowest common multiple of 7 and x(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 12*c = -10. Let i = c + 1. What is the remainder when 9 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(12\/(-9) - -1). Let i = -7 - a. Suppose -i*c - 23 = -78. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - q = 4*q - 17, 15 = -5*q. Let s be (r\/6)\/(16\/24). Solve 3*w = -s*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 1)*(-4*i + i + i) - 2*i + i + 2*i + 6*i - 2*i - 3*i + (5 - 4 + 0)*(-i + 2*i + 0*i) + 2*i + 2 - 2.\nAnswer: 13*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/37)*h*h**6)**(-48))**(-17) assuming h is positive.\nAnswer: h**(239904\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 425 = 1297. Differentiate 30 + 102 - o*k + 4 + 951*k with respect to k.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -555*c**3 + 2 - 78*c + 21*c + 18*c + 17*c + 24*c to the form a*c + h*c**2 + u + q*c**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 1357, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -407431762?\nAnswer: -407431751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8)*-2)\/((-33)\/(-22))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4\/5 - 6863*s**3\/5 = 0.\nAnswer: -6863, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7364 (base 8) to base 2.\nAnswer: -111011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/4)\/(h\/(h*h\/(h*(h\/(h*h**(-3\/4)))\/h*h))))\/(h**0\/((h*h**2)\/h))*h\/h**(-2\/7)*h*h**(-2\/5)*(h\/(h*h*h**(1\/2)\/h))**32 assuming h is positive.\nAnswer: h**(-424\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103\/9233 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let r(b) = -59*b - 5. Let h = -27 - -22. Let q(y) = 3479*y + 294. Let t(g) = h*q(g) - 294*r(g). What is t(u) + 42*x(u)?\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/(-66) + (-29704)\/(-12166).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1172539, 2345149, 3517761, 4690375?\nAnswer: 5862991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -274071 (base 9) in base 14?\nAnswer: -44c0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - 1.9. Let l = 0 - 0.1. Let w = 1.8 + -0.8. Which is the nearest to w? (a) u (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 27. Suppose z - 6 = -2*b, 3*z = -f*b + 17 + 1. Let o be -42*(2 + (-10)\/4). Solve 3*l + o = z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 5*d**2\/2 - 15*d - 184. Calculate p(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 - 37 - 65 + 122*y**2 - 25.\nAnswer: 122*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 - 10*t + 15. What is x(-10)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 76 - 162 = -y, 2*y + 20 = 2*q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2449 and -0.1?\nAnswer: 0.3449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + (-22)\/4)\/((-7)\/602)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1, 3, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (7 - 15 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 1:04 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 819 and 263368014.\nAnswer: 790104042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + -3 + 0))**2*-6.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323814227, 323814224, 323814221, 323814218, 323814215?\nAnswer: 323814212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6998238 divided by 3323\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20873 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 8 = -g, -4*g - q + 8 = -5*q. Let v be (2 + g)\/(5\/945 - 0). Suppose 2*c = -4*d + v, -3*d - 2*d = -3*c + 578. List the prime factors of c.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81194.51 to the nearest 100.\nAnswer: 81200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1326384, -1326385, -1326386, -1326387, -1326388, -1326389?\n\"Answer: -z - 1326383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37819?\nAnswer: 59, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + -2 + sqrt(125))*-6.\nAnswer: -30*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104961287 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) 2\/3 (c) 8019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, 0.05, 16?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 0*u**2 - 2*u + 37 - 91\/20*u**5 + 73\/6*u**3 + 0*u**4. Find the second derivative of v(a) wrt a.\nAnswer: -546*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 12. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**2 - 44 + 7*j**2 + 2*j**2 - 7*j**2 + 0*j**2 - 5*j. Determine w(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**13*o)**(-5\/12) assuming o is positive.\nAnswer: o**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3\/5 - 12982*y**2 + 1053456833*y\/5 - 4212788836\/5 = 0.\nAnswer: 4, 32453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 - 17 - 17 - 9*u**3 - 5*u**3.\nAnswer: -19*u**3 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 5:42 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*j**3*k**3 + 2785*j**3 - 74*j*k**3 - j with respect to k.\nAnswer: 246*j**3*k**2 - 222*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.6, -10.4554, 14, 0.3.\nAnswer: -10.4554, -6.6, 0.3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-40)*20\/(-7) + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470213653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (8 - ((9 - 3) + -15)) + -9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 630, 574, 520, 468, 418?\n\"Answer: b**2 - 59*b + 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -140.8 * 0.28\nAnswer: -39.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 36*x**5 + 1376*x**4 + 1168*x**3 - 62016*x**2 - 13824*x = 0.\nAnswer: -36, -8, -2\/9, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 6*t. Let c(h) be the first derivative of 13*h**3\/3 + 2*h + 65. Let a(v) = 585*v**2 + 91. Let m(o) = 4*a(o) - 182*c(o). Calculate d(m(g)).\nAnswer: -156*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -2576?\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/((2970\/36)\/33). Suppose -2*g = 5*z + 39, 2*z + 54 = -0*g - 4*g. Let d = g - -11. Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 11:11 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 9 = 3*j, 4*j - 3*j + 3 = 5*r. Solve r = -0*f + f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8926239*j**2 + 2*j - 6487739.\nAnswer: 17852478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4.8 (b) 2\/13 (c) 3\/4 (d) 4 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/(-34)*2430\/(-2835).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2144 - -2148. Solve -5*g + 0*s + 12 = c*s, -2*g + 6 = 2*s for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 3:03 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**5\/5 + k**4\/4 - k**3\/2 - k**2\/2 - 19*k. Let i(o) = -3*o**3 + 4*o**2 - 4*o. Let v(q) = -2*c(q) + 3*i(q). Determine v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/11)*n**(-3)*n)\/(n\/n**(-2\/3))**(1\/2) assuming n is positive.\nAnswer: n**(-175\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3782225336?\nAnswer: 2, 472778167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -11. Calculate the common denominator of -87\/10 and 6\/32 + n\/6.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1045*f**3 + 63*f - 258*f**3 - 63*f.\nAnswer: -1303*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -14320\/7, 76, -0.4, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4075 - -10471. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22388, -46454, -70520?\nAnswer: -94586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 2. Let k(i) = 3*i + 7. Suppose -4*z = -1 - 15. Suppose 2*q = -z + 2, -q = -w + 15. Let s(t) = w*g(t) - 4*k(t). Determine s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -54 + 13*p**2 + 130 - 7*p - 76. Let x(m) = -7*m**2 + 3*m. Determine -3*d(j) - 7*x(j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 50768e?\nAnswer: 50768c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9\/(z*z\/(z\/z**(6\/11))))\/(z*z\/(z**2*z)*z*z)**(-22) assuming z is positive.\nAnswer: z**(324\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -5*k**2 + 9*k - 1. Let x = -57 + 58. Let d(j) = -1. Let p(c) = x*o(c) - d(c). Find the second derivative of p(y) wrt y.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 120891376 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -304 - -313. Let f(k) = 12*k - 92. What is the remainder when 443 is divided by f(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u**3 + 2*u**2 - 3*u + 3. Let i be r(2). Suppose 2 = 8*v + 50. Let n be v - (-2 + 6)*(-12 + 3). What is the greatest common factor of n and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*f**3 + 2618*f**2 - 1367*f**2 - 1332*f**2 wrt f.\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1630377 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1539, -1347, -1027, -579, -3?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82759, 661942, 2234017, 5295430, 10342627, 17872054?\nAnswer: 28380157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -91911.\nAnswer: 919110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(147))*-4.\nAnswer: -28*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 11159205.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 != -36950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4970 - 3333. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -267709*c - 58. Let f be k(-5). Let z = -3711513 - f. What is z rounded to the nearest one hundred thousand?\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202.17 + -142.74. Let x = 60 - a. Round x to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 - 3*b + 7. Let r be -1 + 6 + 0 + -1. Suppose 3*u + 3*h = h - 5, u + r*h = -5. Let o(l) = -l**2 + l. Let c(k) = u*s(k) - 4*o(k). What is c(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, n: 1, m: 3, l: 9, u: 2}. What is prob of picking 1 n, 1 l, and 1 q?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let o(s) = 9*s + 8. Determine o(d(v)).\nAnswer: -9*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) 2\/5 (b) -3.52 (c) 1 (d) -1\/4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -562*s**2 + 132*s**2 + 136*s**2 - 139*s + 156*s**2 + 139*s**2 - 2*s**3 to d + g*s**2 + v*s + b*s**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqbxbbbx. Give prob of picking 2 b.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 809310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36*g**2*h*u - 8*g**2*r*u**2 - g**2*r*u - g**2*u**3 + 3460*g*h - 2*g*r*u - 4*g*u**3 - h*r*u**3 + 3*u**3 wrt h.\nAnswer: -36*g**2*u + 3460*g - r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -0.26, -1078, 5, 1 in ascending order.\nAnswer: -1078, -1, -0.3, -0.26, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 16*c + 3. Suppose 2 = -i - 0. Let d be n(i). Let h = -19 - d. What is the remainder when 19 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 23 + -1 + -3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttwwttttwwu. Give prob of sequence wwtu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 1 - 39 = 0. Let q be (-2)\/p - 5\/10. Which is the closest to 0.4? (a) q (b) -5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -113c + 11103?\nAnswer: cc94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*-3*6\/(-99). Suppose 2*l = -l. Suppose l = w - 0*w. What is the third smallest value in w, -4, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18281 - -25995. Suppose -17*z = 2*z - a. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3055328476.3 to the nearest 1000000.\nAnswer: 3055000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 7*i**2 - 9*i - 4. Let f be n(5). Is 13 a factor of 1 + f + 1 - -40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - (-6)\/(-21). Let r be (-3 + x)*20\/(-6). Let k = 0 + 6. Solve 0 = 4*w + k + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -10) + (3 - (-1)\/(-1)). Suppose -2*u + s*u = 126. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416261.\nAnswer: 197, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748 = -10*h + 14*h. Let a = h + 514. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(((-9)\/(45\/(-10)))\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5991997+-81951.7\nAnswer: -6073948.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*v + 3 = 0, -5*n + 2 - 7 = -2*v. Let g = n - -12. What is the remainder when ((-34)\/16)\/(49\/(-392)) is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 46*k**2 + 26*k - 60. Let q be f(-35). Is 2*(q\/8 - 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11160 = 167*s + 64*s + 79*s for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r - 280 = 36 - 85 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 668 and 6513?\nAnswer: 26052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/5 + 26*g**2\/5 - 27*g - 162\/5 = 0 for g.\nAnswer: -1, 9, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 101 - 100 - 2*p + 7. Let y(m) = 2*m**2. Determine x(y(w)).\nAnswer: -4*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/(6525\/(-150))*((-22)\/77 - (-150)\/(-112))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/12 + (-10)\/3. Let s = 9\/4 + v. Find the common denominator of (-2 + 1)*(-134)\/24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*f + 5*q - 11, 3*q - 3 = 3*f. Solve -5*u = -0*w + 2*w + 1, -2*w + f = 2*u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.005 and 231.\nAnswer: 1.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.097 + 1.503. Sort -0.3, 0, m, 2.\nAnswer: -0.3, 0, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0059 to four dps.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-35)\/50)\/((-30)\/(-140)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15564 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -725 - -1923. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:49 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -3766.5 and 12090 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 936.8 - 930.8408. Let t = i + -6. What is t rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -7242 (c) -0.0653 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*6\/8*-4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978827864?\nAnswer: 2, 7, 19, 919951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/4 - 21*r**2\/4 - 14*r - 9.\nAnswer: -(r + 1)*(r + 2)*(r + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**5\/9 + 16*n**4\/3 - 208*n**3\/9 + 136*n**2\/3 - 364*n\/9 + 40\/3 = 0.\nAnswer: 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-80)\/56)\/2*1)\/((-45)\/(-45))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3395*z - 353084. What is n(-104)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-3))\/(2\/(-9)). Let l = 3 + -2. Let i be l\/3 - (-53)\/3. Calculate the greatest common divisor of i and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 3*h**2 - 2*h - 9. Let o be f(-4). Suppose 3*n = d - 14, 0 = 5*n - 0 + o. What is the highest common divisor of d and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s = 24. Let i = -15 - s. Solve 3*f + 0*f = i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c + 24\/7*c**3 + 0 + 64\/7*c**2 - 4\/7*c**4.\nAnswer: -4*c**2*(c - 8)*(c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -4*v**3\/3 + 9*v**2\/2 + v - 57. Let f(x) = -7*x**2 + 17*x + 2. Let u = 5 - -1. Let g(q) = u*f(q) - 11*p(q). Calculate g(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**8\/672 - u**7\/140 + u**6\/240 + u**5\/40 - u**4\/24 - u**2. Factor p(n).\nAnswer: n*(n - 2)*(n - 1)**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a**2 - 5*a - 33. Let s be n(-8). Suppose -3*p - 200 = 1396. Let x = s - p. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/4)\/((-10)\/560). Let u be y\/15 + (-1)\/(-5). Suppose 164 = 7*f - u*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 266*s - 1243*s - 724*s - 1092*s + 566*s in the form l + i*s and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k*k\/((k\/(k\/(k**31*k)*k))\/k)))\/k*k*k)\/(k**37\/k)*(k**(-2\/9))**(-24) assuming k is positive.\nAnswer: k**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(1575\/(-40))*(-9)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 38*v**2 - 4*v + 10. Let w be m(2). Let y = w + -56. What is the remainder when y is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000526135 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**3 - 29*y**2 + 93*y - 137. What is j(-17)?\nAnswer: 4640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 164*w**3 - 20.\nAnswer: 164*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5637360 and 177620?\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3602 is divided by 389.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*b = -9, 135*x - 25 = 140*x + 25*b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.15 - -0.27. Let y = p - 0.82. What is the third smallest value in y, 1\/2, 1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:52 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8*q**2 + 17*q - 21. Let n(k) = 2*k**2 + 4*k - 5. Let i(m) = -9*n(m) + 2*t(m). Let x be (-51)\/(-18) - (-2)\/12. Give i(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6457 = 2*n - 379*w + 380*w, 3*w = -n + 3231. What is the remainder when n is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -3 - 8) + (-2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 35*a - 32*a. Suppose t - 2*d - 31 = -7*d, -4*t = d - a. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -29*j**2 - 9*j - 3. Let n(p) = 3*p**2. Determine o(n(g)).\nAnswer: -261*g**4 - 27*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36967\/16780 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21322058?\nAnswer: 2, 23, 463523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36966 - 28013. Which is bigger: l or 8951?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6979287641.\nAnswer: 31, 11177, 20143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 4, 6, 1, 15, -36, -3 in increasing order.\nAnswer: -36, -3, 1, 4, 6, 15, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-3) + 42\/(-9). Let x be 2\/(-6)*24\/h. Suppose -2*l + x = -4*k, l + 2*k = -l + 14. What is the least common multiple of 11 and l?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 42*n + 1. Let q be u(-1). Let l be 996\/14 + 4\/(-28). Let k = q + l. What is k rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of y**8\/224 + 3*y**7\/140 + 3*y**6\/80 + y**5\/40 + 7*y**2\/2 - 3*y. Let m(h) be the first derivative of j(h). Factor m(r).\nAnswer: 3*r**2*(r + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 13*v + 246. Give u(-32).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 54 times 1.718\nAnswer: 92.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 + 102 + 108 - 423 + 113 - 25*j**2.\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) 0.9 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6435 is divided by 710.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkbkgptkgtpbb. Give prob of picking 3 k and 1 t.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -8. Let d be ((-3)\/(-15))\/(k\/(-5)). Calculate the remainder when (-83)\/(-2) + d\/2 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5 and 8\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 723 + 2*k**3 - 2*k - 17*k**2 + 2*k - 20*k**2 + 166*k**2 wrt k.\nAnswer: 6*k**2 + 258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1009*k - 10. Let q be (-4)\/10 - (-192)\/(-20). Let o be m(q). Round o to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96.836 + 97.136. Let n = -0.02 + -1.98. Which is the nearest to 1\/5? (a) m (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 2*b**2 - 3*b + 48480000. Let p be t(0). Suppose 27*j - 3*j + p = 0. What is j rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -27\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3419\/6 or -570?\nAnswer: -3419\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(3\/4)*k\/((k\/(k*k\/((k\/k**(-1\/13))\/k)))\/k*k)*k**(-16)*k assuming k is positive.\nAnswer: k**(-641\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 34.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - -19. What is the remainder when (-514)\/(-12) - 3\/z is divided by 22 - (-2 - (-1 - 1))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y**3 - 63*y**2 - y + 8. Let g(p) = -33*p**3 - 188*p**2 - 4*p + 27. Calculate -2*g(f) + 7*t(f).\nAnswer: -11*f**3 - 65*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -1 (b) 3\/5 (c) 149 (d) 2\/179\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*m + 323*m - 80*m)*(5 - 3*m - 3 + 5*m).\nAnswer: 638*m**2 + 638*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12622 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/504 and 73\/672?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 44*g + 6 - 4 - g**2 - 26*g - 23*g. Let t be v(-5). Let q(b) = -b + 1. Let u be q(6). Put u, 17, t in descending order.\nAnswer: 17, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -5*l - 5, 2 = -4*l + l + 2*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -5*u**4 - 16745*u**3 - 299955*u**2 - 549695*u - 266480 = 0.\nAnswer: -3331, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330495132 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -142370000 to the nearest 1000000.\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -3\/5*t**5 - 16 - 21\/2*t**2 - 9*t**3 - 15\/4*t**4 - 6*t. Factor h(p).\nAnswer: -3*(p + 1)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10859*m**3 - 1809*m**3 - 1808*m**3 - 1815*m**3 - 1819*m**3 - 1813*m**3 - 1810*m**3.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t. Let d(w) be the third derivative of -14*w**5\/5 + w**4\/12 + 2*w**2 + 31. Determine g(d(y)).\nAnswer: 504*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2514 + -2608. Sort j, -4, 5, 0, -5 in ascending order.\nAnswer: j, -5, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33\/((-2)\/2770*(-30)\/4). Let c = -3639 + k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60002 = 44*l - 59518 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404 - 186599*h + 2*h**2 + 186599*h.\nAnswer: 2*h**2 + 404","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**7\/6 - 61*g**4\/24 + 7*g**2 - 3*g. Find the second derivative of m(i) wrt i.\nAnswer: 420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 7*g**3\/2 - 15*g**2 - 23*g\/2 - 2.\nAnswer: (g - 4)*(g + 1)**2*(4*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 489, 887, 1395, 2019, 2765, 3639, 4647?\nAnswer: 5795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/10 - 20831*w\/5 + 41664\/5.\nAnswer: -(w - 2)*(w + 41664)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 291087 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21110110 - -1?\nAnswer: 21110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 18*u**2 - 20*u + 39. Let p be (0 + 57)\/(-174 - -177). Determine r(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((((r**(4\/11)*r)\/r)\/r*r)\/r))**(-1\/29)*r**(-24)\/(r**10\/r))**(21\/2) assuming r is positive.\nAnswer: r**(-221445\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -15. What is the greatest common divisor of 195 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57d29 (base 14) in base 8?\nAnswer: -641561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 <= 166\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -99*f**3 - 2*f**2 - 2*f. Let u = 111 + -112. What are the prime factors of h(u)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -80301 and -80296 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2\/5 - 88572*i\/5 - 980624898\/5 = 0.\nAnswer: -22143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -203.328.\nAnswer: -60.9984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 28. Let m be (-1 - -6) + (-1500)\/(-60). Calculate the greatest common factor of m and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -217 (b) 154 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -15 - 15. Let p(u) = 4*u**3 - 7. Let h(m) = -m**3 + 1. Give b*h(v) + p(v).\nAnswer: -2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4408 (base 9) in base 14?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/58 in 4, 0.02, -3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**6\/120 + 7*m**5\/30 - 13*m**4\/12 + 3*m**3 + 4*m**2 - 37. What is s(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4954 - -49581\/10. Find the common denominator of (-1284)\/720 + (6 - 2) and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 - 210624*g + 2106260.\nAnswer: -(g - 10)*(g + 1053130)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**4\/114 - 2*x**3\/57 - x**2\/19 - 12*x. Find f, given that q(f) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16737895 and 2.03?\nAnswer: 16737892.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11590 rounded to the nearest 100?\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.29 + 0.69. Let v be (-3)\/(-10)*5\/(-4). Which is the closest to -2\/7? (a) v (b) 1\/2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -967 - 1?\nAnswer: -968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.01, 4\/483, -2\/9, -2\/3?\nAnswer: 4\/483","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, 0.01, 3\/16, 6\/7, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502658812.\nAnswer: 2, 227, 553589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 16*r**2 - r - 20. Let o be u(-16). Let y be (10*o\/(-10))\/1. Solve 4*l + y*h - 8 = -0*h, 0 = -l + h - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6 - 0. Suppose -4*j + 8 = 2*m, -j = -2*m - m - u. Solve 0*w - 2*w - 4*a - 22 = 0, -w - j = -a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5991358 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/37959 and 3\/1391830.\nAnswer: 4175490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:21 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67663.4 + -67515.4155. Let x = -148 + v. Round x to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from zzezzeezezee?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -246060236 + -5?\nAnswer: -246060244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/8 - (-235)\/(-10). Suppose -42*v + 45*v + c - 8 = 0, -4*v + 11 = c. Let o = 6 - 1. Sort o, b, v in decreasing order.\nAnswer: o, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 109915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7272*c + 14544*c + 9 - 7266*c.\nAnswer: 6*c + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -15. Suppose -m*k + 6*k = -2*i + 4, -3*i - 18 = -2*k. Let x be 10\/(-4) - k\/2. Let o(y) = y + 1. Calculate o(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2 + 6*f - 2 - 16. Let m be k(4). Factor 512 + m*w**3 + 128*w + 0*w**3 - 23*w**2 - 33*w**2.\nAnswer: 4*(w - 8)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/3)*(b\/(b**(-2\/7)\/b*b))\/b)**22 assuming b is positive.\nAnswer: b**(440\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 1. Let r be n(-2). Suppose 0*f = -5*w + 5*f - 10, -4*w + 3*f = 10. Sort r, 2, w in increasing order.\nAnswer: w, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8*j**2 - 536*j + 32. Let o(k) = 11*k**2 + 731*k - 43. Let w(c) = -11*o(c) - 15*q(c). Suppose -12 = -2*m + 5*m. Give w(m).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11411, 11926, 12789, 14006, 15583, 17526, 19841, 22534?\nAnswer: 25611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g + 0*g - 3 + 17874*g**3 - 27*g**4 + g**2 - 17876*g**3 - 34*g**4 + 0*g to u*g**4 + l*g + f*g**2 + d*g**3 + o and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/8 + (-347)\/4. Suppose g = -0*g + 42. Let z = t + g. Round z to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 186 = -5*y + l, 4*y = -5*l + 134. What is the greatest common factor of y and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 460984314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 less than 0.2?\nAnswer: -237.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -3. Let k be 2\/(-8) - (-41)\/4. Suppose 5*l - k = -0*d - d, -l = -d - 8. Is q != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.2 - -3.2. Let h = 3.999944 + c. Round h to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 75. Calculate the least common multiple of f and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -81*z**2 + z + 4. Let v(a) = 162*a**2 - 4*a - 10. Give -5*n(b) - 2*v(b).\nAnswer: 81*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 8) to base 6\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 3*o - 4*o)*(-2 + o + 2) + 0 + 1 + 2*o**2 - o**2 to i + b*o**2 + c*o and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s + 274*h - 275*h + 121 = 0, 250 = 3*s + 4*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-294*o - 59 + 35 + 23)*(2 + 0 - 3)*(-4*o - 2 + 2).\nAnswer: -1176*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 + 4928*u**4 - 8*u**3 - 9856*u**2 + 4*u + 4928 = 0 for u.\nAnswer: -1232, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -487 - -492. Solve -n*i - 6*u + 10 = -u, i + 4 = 5*u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 478 in 1, -3, 0, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.12076 rounded to two dps?\nAnswer: 15.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*n**4 - 111*n**2 + 112*n**2 - 2*n**3 + 3*n**3 to the form q*n + d*n**4 + s + j*n**3 + a*n**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-4 + -2*sqrt(405) - sqrt(405))**2*2 - 2*-4*((-2 + sqrt(405))**2 - sqrt(405))) + -5.\nAnswer: 288*sqrt(5) + 42371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -235. Let o = 416 - f. List the prime factors of o.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91\/340 - 3\/170. Let n = -3.25 - 1.7. Let a = n + 5. Which is greater: a or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.715351 decades?\nAnswer: 0.3715351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/662016 and 151\/8394156?\nAnswer: 1074451968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 + 0*g + g - 8 - 8*g**2 + 6*g**2 + 8*g**3 to h*g**2 + v*g**3 + p + a*g and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 20246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 8*y + 4. Suppose 14*v - 12*v = 224. Suppose -10*z = -3*z - v. Let c(a) = a**2 - 15*a - 23. Let i be c(z). Determine l(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-6 - 12 - -6)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -18. Let s = -4 - x. Let t = -179 - -181. Solve -4*m + 4*h - s = 5*h, -4*m = t*h + 22 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, i: 1, l: 1, m: 1, t: 4, g: 1}. What is prob of sequence tim?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 5*f + 2*f)*(-10068 + 7006 + 5323).\nAnswer: -2261*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.32 * -5.4296\nAnswer: 1.737472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 12:58 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 15. Let o be (22\/m)\/(1\/5). What is the highest common factor of o and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170 + -166. Suppose -g = -2*g + 3*y + 17, m*g - 13 = y. Is 42\/13 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5*v = -3*d + 32, 5*d + v = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r. Let t(s) = -92*s**2. Give h(t(q)).\nAnswer: -92*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5232 is divided by 194?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - 4\/(-4 + 2). Let p = q + 6. What is the second derivative of 3*a**2 - 2*a**2 - p*a + a**2 + a**2 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536567869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -4\/7*c - 4 - 3\/7*c**2 - 2\/21*c**3. Factor b(n).\nAnswer: -2*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-8)\/80)\/((-7248)\/660 + 11)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8838 - 4502. What is the highest common divisor of b and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 394 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 7*h**2 + 8*h - 2. Let r be v(8). Suppose -2*i = -7*i + 275. What is the remainder when i is divided by (2*19*-1)\/r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 + 2*g**2 - 3*g. What is the smallest common multiple of 12 and u(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2226*b - 6328 wrt b?\nAnswer: -2226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1102607922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8332982\/253 + -32937. Let l = 3\/23 + s. Suppose -2*x - 5 = 3*u + 7, 3*x + 2*u = -13. What is the third biggest value in x, l, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 49. What is the remainder when 38 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 12 = -5*d. Solve -d*h = -0 - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(2\/7)*x)**(1\/30)\/((x\/((x*x**(2\/11))\/x)*x)\/(x\/((x**3\/x)\/x))))**16 assuming x is positive.\nAnswer: x**(-10848\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, 19, -2 in increasing order.\nAnswer: -2, 19, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/22576 and -15\/88?\nAnswer: 248336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 732.96 times -401\nAnswer: -293916.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -102, -205, -308?\n\"Answer: -103*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 530060597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -302 - -176. Let a = 126.06 + x. What is the second biggest value in -0.3, a, -1\/7, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -10 + 11 + -2 - (-1 + 13)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l + 5. Let h(a) = -a - 1. Let g(v) = 2*h(v) + k(v). Let x be g(3). Calculate the greatest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 2091?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -485012 divided by -1661.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7 + 27 = b, -2*b = w - 22. Let r = -16 + w. Suppose r*y - 6*y + 5*m + 12 = 0, y + 3*m = 20. What is the highest common divisor of y and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1732 is divided by 145.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**6 - 53*d**4*m - 13*d**2*m + 5*d**2 - 1 wrt d?\nAnswer: -240*d**3 - 1272*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 3, -3, -0.434, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/32284401 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/4798951 and 37\/45446.\nAnswer: 297534962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 + (-6 - -2))*(-12)\/(-12))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.56 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 1:45 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 7:34 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 3. Let h be v(2). Let z be h\/3 + (-1)\/(-3). Suppose -2*t + 10 = -z. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -11*s + 5. Let n(b) = -2*b + 1. Calculate -6*m(f) + 34*n(f).\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 0.1, 5\/23?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*f + 12 = 0, 20 = -3*v - 0*f + 2*f. Let s be (-4 - v) + 28\/2. Let b be (-3 + 31)*4\/s. Calculate the greatest common divisor of b and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -1\/20*b**5 + 1\/6*b**3 + 3*b - 1\/12*b**4 + 0*b**2 + 0 + 1\/30*b**6. Factor z(o).\nAnswer: o*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 4*d**2 - 7*d + 114. Let p be l(6). Solve -4*t + 7*t = p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 70, 134, 208, 298, 410, 550, 724?\n\"Answer: i**3 - i**2 + 60*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.08272 rounded to 0 dps?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 7. Let q(k) = w - k**2 + 11*k + 0 - 3 - 6. Let i be (-2)\/(-6) + (-42880)\/(-4020). What is q(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4\/(z\/z**(-4\/5)))**2 assuming z is positive.\nAnswer: z**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -32*g + 54. Let v be t(2). Let u(o) be the second derivative of o**5\/20 + 5*o**4\/6 - 3*o**3\/2 + o**2\/2 + o. Does 17 divide u(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 + 2581*h - 4701*h + 10*h**3 + 2119*h.\nAnswer: 18*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swosoooooswws. What is prob of sequence swws?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172*a**3 - 39*a**3 - 24*a**3)*(1 - 1 - 4*a).\nAnswer: 940*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11677966 and 24924?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2210100 (base 3) to base 15\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451244068 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 261333?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s - 2*t + 1, -5*s = t - 10. Is ((-4)\/(-10))\/(s\/85) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -34 (c) 4 (d) 3\/61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(18))\/sqrt(9).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -295298?\nAnswer: -29529.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3968 divided by -31.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 4 + 4 + ((-1 + 2 + 1)*(0 + 3 - 2) + 1 + 1 - 5)*(-30*d + 27*d - 34*d))*(-6 + 2 + 2)*(206 - 206 + 17*d).\nAnswer: -1190*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -57, -137, -6 in increasing order.\nAnswer: -137, -57, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/314931271?\nAnswer: 4\/314931271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 600, -357\/10, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.12 (c) -0.4 (d) -4\/5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -54\/6481, 2, -1.9, 3?\nAnswer: -54\/6481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-45)\/30)\/((-2)\/4). Is 72 a factor of (-9)\/d + (439 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -4. Let d = 6 + q. Suppose -5*y + 4 + 1 = 2*c, d = -4*c + 2*y + 70. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeppepep. Give prob of picking 2 p.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 24. Let k be t(6). Let r(b) = b - 25 - b + 23 + k*b. Determine r(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, t: 4, u: 6}. What is prob of sequence ttu?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*d - 151*d + 3410 = 23*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1\/9 (c) 10 (d) -580\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-21) + (-8)\/(-28). Let l = 6.4 - 8.4. Let j = -0.4 - -0.2. What is the nearest to q in l, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183755652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**2\/6 + 317*q - 84976\/3 = 0.\nAnswer: 94, 1808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/7 (b) 9 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.5. Let a = -48 - -48.2. What is the closest to n in 1\/3, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83292 and 22.\nAnswer: 83292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 5, -121.4, 2\/15, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132385 and 84245.\nAnswer: 926695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 561665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 58 + 22*b - 4*b + 29.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 28014153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.9 less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 448 = -4*h + 409, -h + 4*x = 96 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 4*w - 4. Let y(l) = -2*l - 12. Let n be y(-8). Suppose 0 = 2*d - d - n. What is o(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2 = -2*m, 2*m - 5*g - 2 = -28 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/4 + 7223*h - 52171729 = 0. Calculate h.\nAnswer: 14446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887*a - 5*w = -882*a + 75, 2*a + 26 = -4*w for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**3 + 15*k**2 + 2*k. Let g(z) = 3*z**3 + 10*z**2 + 2*z. Let f(h) = 5*d(h) - 8*g(h). Calculate f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.6006264 rounded to 3 dps?\nAnswer: -5.601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/1)\/(-1 - 0). Suppose j*b + 2*g = -b - 4, -10 = -5*b + 5*g. Factor 12*h - 4 - 1 + 7*h**2 + b + 1.\nAnswer: (h + 2)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/43913 or -138?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 2*s. Suppose -q + 2*r = 12 + 1, 2*r = -5*q - 5. Let w be p(q). Suppose -u + 8 = 2*h, -w*u + 0*u - h = -24. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, -5 in descending order.\nAnswer: -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1582890 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8623\/110 or 0.19?\nAnswer: -8623\/110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/9 and 34\/8469.\nAnswer: 8469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 39*b**4 - 8*b**2 - 12*b**2 - 8*b**3 + 34*b**4 + 23*b**2 - 6*b**2 - 1 to the form x*b**2 + s*b + z*b**3 + w + i*b**4 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73 + 0*w**2 - 32*w**3 + 0*w**2 + 33*w**3 + 73.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 621 (b) 4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 266 + -259. Sort 0, -3, l, 1 in increasing order.\nAnswer: -3, 0, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 317*k = -318*k - 45, 3*x - k - 126 = 17*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -27. Let i = -17887 - -17903.993. Let q = m - i. What is q rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*s + 8, 4*s + s = -5*g + 25. What is the lowest common multiple of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.4 - -26.89. Let z = v - -1.51. Put -4, z, -14 in descending order.\nAnswer: z, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 9*h**2 - 9*h - 3. Let d be b(-8). Suppose 3*z - 27 = -d*c, 4*z - c - 1 = 3*z. Solve -2*s + 2 = z*i, 2*s + 4 - 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o - 7 = -17*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7501 at most as big as -7488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -25. Let n = 46 - s. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135090637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 8:57 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26942 + -15853. Let u = 3108 + m. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/5 + 21*y**3\/5 - 421*y**2\/5 - 8421*y\/5 + 1764 = 0. What is y?\nAnswer: -21, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 131927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19030 - 2575 = 3*x. Suppose -5*f + x = -4*j, -2*f + 552 + 820 = -j. What is j rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6.6, 10487, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q - 22. What is the units digit of w(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, -95, -247, -473, -785, -1195, -1715?\n\"Answer: -2*m**3 - 19*m**2 - 19*m + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.25, 4, -19 in ascending order.\nAnswer: -19, -0.25, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5110 or 14230?\nAnswer: 5110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 0.4, 16\/3, 1\/4, 23, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 8*l**2 - 6*l + 1. Let m be y(9). What is m rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - 32. Let b = -74 - x. Solve -b*g = -9 + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -7*f + 21*f, -2*w + f - 11 - 13 + 4 = 0 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-18672584)\/(-567))\/(-4))\/((-4)\/(-6)). Let t = 12351 + u. Find the common denominator of -40\/27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + (((sqrt(240)*-2 - sqrt(240))*-2)\/(sqrt(55)\/(sqrt(55)\/sqrt(5))) + -1)**2)*1.\nAnswer: -48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gazg when four letters picked without replacement from gagagzggaga.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24006 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 4*c**2 - 9*c**2)*(0 - c + 0).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -v - 7 + 71 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -670 divided by -335.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -260.11049 + 0.01049. Let v = -220 - g. Let w = v + -40. Which is the closest to w? (a) 1\/8 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24486 by -53.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 4*s + 4. Let d be r(3). Let u be -1 - (-18 + 2)*d. Suppose 0*f - 3*f + u = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2646\/(-2058))\/(363\/(-77))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 7, 2, 1, -4 in decreasing order.\nAnswer: 13, 7, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 30\/(-3)*(-11)\/2. Let l(h) = h**3 - 22*h**2 + 22*h - 16. Let q be l(21). Let k = q + d. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -59. Let o(v) be the second derivative of 0 - 1\/15*v**6 + 1\/3*v**4 + p*v**5 - v**2 + 0*v**3 - 7*v. Factor o(n).\nAnswer: -2*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 7:36 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24c13 (base 13) to base 16.\nAnswer: -10972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 114, 258, 458, 714?\n\"Answer: 28*g**2 + 4*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -34?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 167, 334, 501?\n\"Answer: 167*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -695*c**3*u**3 + c**3*u**2 + c**2*u**3 - 7*c**2*u - 131949*c + 41*u**3 wrt u.\nAnswer: -4170*c**3 + 6*c**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 0 - 14\/(-4). Let t = 1.41 + -1.11. Sort -0.3, c, t in increasing order.\nAnswer: -0.3, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -224\/15 - -43\/3. Which is the nearest to -0.1? (a) x (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1810805359?\nAnswer: 11, 173, 951553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 55.5 and 26943468.\nAnswer: 26943523.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2362 and -97\/8?\nAnswer: 9448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**6\/720 - b**5\/60 - b**4\/16 + 8*b**2. Determine z so that g(z) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = -291 + 306, -3*j + 6 = u - 8*j + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 85546 (base 13) to base 12\nAnswer: b7134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuf when three letters picked without replacement from iuiuuvigvnfnuvfg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -46, -74, -100, -124?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 84*u - 88. Determine m(-43).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29681*c*k**3 - 3*c*k**2 - 59*c + 9*k**3 - 55*k**2 + k + 2 wrt k.\nAnswer: -178086*c + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -8, 3 in ascending order.\nAnswer: -8, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, 4, -15 in descending order.\nAnswer: 4, -4, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 167*h + 1427. Let k be d(-9). Solve 5*j = -2*t - 3*t + 5, -3*t + k = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-19 - -10 - (-8 - -5) - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4167, 4383, 4577, 4737, 4851, 4907, 4893?\nAnswer: 4797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t - 13 - 2*t**2 - 92348*t**3 - 5*t**2 + 92347*t**3. Calculate f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.063 + -34. Let s = -0.163 + u. Let x be (3\/(-5))\/((-3)\/(-3)). Which is the closest to s? (a) -5 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {y: 1, g: 1, o: 1, j: 1, s: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i. Let x(u) = -2*u + 495574943. Determine x(m(g)).\nAnswer: -2*g + 495574943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 0 + (-2 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**6\/360 + 3*y**5\/40 + 3*y**4\/8 - y**3 + 6*y. Let c(u) be the second derivative of l(u). Calculate c(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:46 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 15 = -4*i, -4*i = -4*b + 5*b - 9. Let r(j) = -4*j**2 + 5*j - 2. Let z(w) = w**3 - w**2. Let x(o) = r(o) + z(o). Give x(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -5*z - 242. Let a(g) = -g**3 - 36*g**2 - 4*g - 139. Let l be a(z). Solve 2*n + l*f = -10, 2*n + 3*f = -3*n + 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*l + 257 - 266, 2*u = -8*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7902 and 22?\nAnswer: 86922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748170459?\nAnswer: 3, 17, 43, 37907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 137970 and 5110?\nAnswer: 137970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 take away 0.625?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10212 and 10?\nAnswer: 51060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3243680*v**4 - 6681995*v wrt v?\nAnswer: 38924160*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3111.837 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 7 + 14. Let a(w) = w**2 + 6*w - 4. Let m be a(y). Solve 2*c = m*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 26520010*u - 35165546520005.\nAnswer: -5*(u - 2652001)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - -3*(-2)\/3. Suppose 398 = r*l + 4*k, 0 = 3*l - 2*k + 3*k - 577. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 - 286*k - 191. Determine x(97).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 h when four letters picked without replacement from {h: 4, n: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2247 in 3, -9, -4, 9, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/8248 and -115\/48.\nAnswer: 49488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:05 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*h**2*z**2 + 4*h*z**2 - 28*z**2 + 3*z wrt h.\nAnswer: -128*h*z**2 + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*f**3 - 90*f**3 - 66*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 0)*(2 - 4 + 1) + (-50 - 82 - 20)*(3 - 4 + 4))*(-4*n + 2*n + 3*n).\nAnswer: -454*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -37. Let c(u) = w - 10 + 6*u**2 - 2*u + u**3 + 0. What is c(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 920 divide 227355000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29127455 to the power of 1\/3, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25705, 51709, 77713?\nAnswer: 103717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43435487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 0)\/((-95)\/(-380)). Let w(v) = -2*v**2 - v + 19. Let g be (-75)\/7 + 6\/(-21). Let s(j) = j**2 - 10. Let r(h) = g*s(h) - 6*w(h). Give r(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 124\/6 + (-14)\/21. Let b = 34 - y. Solve b = -4*t + 2*j, -2*t + 5*j = 11 + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 25?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 238148 divided by 58?\nAnswer: 4106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 312257.2 centuries in decades?\nAnswer: 3122572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1217*a - 20553 = 51250 for a.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2. Let m(z) = -2*z**2 - 4621895. Calculate m(y(o)).\nAnswer: -8*o**4 - 4621895","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 305230?\nAnswer: -305222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60229 or 60239?\nAnswer: 60229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33086741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-429*d + 161*d + 198*d)*(-1 + 3*d + 2*d - 1).\nAnswer: -350*d**2 + 140*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3637525 is divided by 3637519.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**10\/c)\/c*((c\/(c*(c*(c**5\/c)\/c*c)\/c)*c*c)\/c)\/c assuming c is positive.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7980 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, k: 2, x: 3}. What is prob of sequence xix?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7828, 7833, 7840, 7849, 7860, 7873, 7888?\n\"Answer: w**2 + 2*w + 7825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -24710.6903.\nAnswer: -24715.6903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -5.37 (b) -0.2 (c) -2 (d) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 6*w**2 - 7*w + 10. Let r be m(-7). Suppose 2*j = -5*p + 7, -2*p + r = -2*j + j. Solve -n = p*d - 3*n + 1, 3*d + 21 = -3*n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2 = 2*d. Let g be (-6 - 1)*6\/(-21). Suppose -d = 2*r - 2*x, -4*x = g*r - 1 - 15. Put 1, -8, r in increasing order.\nAnswer: -8, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 2*i**3\/3 - 45*i**2\/2 - 12*i. Let o be q(15). Solve -4*t + t = -o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21 - 2\/(3 + -1). Suppose g - t = -3*g. Suppose 2*d = s + g, -d = -2*d - 2*s. Solve d*w + 2*w = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 54007704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754974 is divided by 754920.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -1, 2, 95 in descending order.\nAnswer: 95, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (16 + -33 + 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, y: 1, z: 3, a: 1, f: 2, g: 7}. What is prob of picking 2 f?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781059 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 143\/52 - 3 - (-37)\/4. Let l be (0 - g\/36) + 18961\/4. Round l to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -299370*a**4 - 2*a**2 + 312662 wrt a.\nAnswer: -7184880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - x**2 + x. Let d(r) = 3*r**3 - 2*r**2 + 2*r. Suppose -4*a + 0 = 8. Suppose 0 = 2*o - 158 + 882. Let l = o - -367. Give a*d(v) + l*s(v).\nAnswer: -v**3 - v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 475658843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.633 + -2.566. Which is the biggest value? (a) 0.1 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {l: 4, y: 3, z: 7, b: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1249 or -1183?\nAnswer: -1249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**3 + 964*i**3 + 9347*i**3.\nAnswer: 10290*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + (-4 - -8) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -25*u**3 - 6*u**2 + 102*u + 2. Let p(t) = -t**3 - 3*t**2 + t + 1. What is i(a) - 2*p(a)?\nAnswer: -23*a**3 + 100*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-7) + -15*(-7)\/147. Which is the closest to 2? (a) 4 (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - s + 3. Suppose 4*z - 4 = 2*z. Is (z - 1)*s + 34 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630*m = -640 + 4702 + 7908 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-1*sqrt(343) - sqrt(343)) - sqrt(343))*4)**2 - ((sqrt(252)\/sqrt(36))\/sqrt(4))**2*-6.\nAnswer: 889077\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -446*g*h*w - g*w**2 - 3*g*w + 3*g - 15*h*w**2 + 12*w**2 - 419 wrt h.\nAnswer: -446*g*w - 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w + 4. Let q = -56 + 50. Let k(c) = -3*c - 5. Let x(a) = q*o(a) - 5*k(a). Let m be x(-1). Put 10, 1, m in increasing order.\nAnswer: 1, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1498*b - 35952. What is t(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 + -180. What is the least common multiple of 24 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 18. Let h(v) = v**3 - 3*v**2 - 17*v - 10. Let u be h(6). What is the nearest to s in 0.1, u, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffqayfycvyacq. What is prob of sequence aa?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6)*32\/4 - (-4654 - -2). Calculate the greatest common divisor of 56 and i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 19\/10 (b) -39 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22*33\/(-7260))\/(3\/(-18)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 5. Let y(k) be the third derivative of -k**6\/120 - 13*k**5\/60 + k**4\/24 + 3*k**3 - 2*k**2. Let x be y(-13). Determine b(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -44 and -39920536.\nAnswer: -39920580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*h, 0 = 2*v - 0*v + 3*h - 3. Suppose 11*g - 344 + 102 = v. What is the remainder when 97 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 - 154. Suppose -j*x = -5*x - 40. Let w be 9\/15*(-15)\/(-6). What is the closest to -3 in w, -1\/6, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18553397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28682, -28677, -28672?\n\"Answer: 5*d - 28687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + 2*sqrt(153) - (-2*sqrt(153)*-2 + sqrt(153) - sqrt(153) - (-3 + -1*sqrt(153))))**2.\nAnswer: 198*sqrt(17) + 1498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -282*h + 15. Let c(d) = -45*d - 1. Let q(p) = -6*c(p) + s(p). Determine q(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0372 less than 959976546?\nAnswer: 959976546.0372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i**3 + 11. Let q(o) be the third derivative of o**3\/6 - 3*o**2. Let x(l) = k(l) + 3*q(l). What is the derivative of x(u) wrt u?\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g + 11 - 11. Sort 5, -15, g.\nAnswer: -15, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016872959?\nAnswer: 3, 103, 131, 25121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -7, -91, -77510 in decreasing order.\nAnswer: 4, 1, -7, -91, -77510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -888 - -883. Let o(l) = 2*l**2 - 13*l + 4. Let a be o(v). What is the highest common divisor of 7 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 - 6*x + 6*x + 4*x**2 - x**2 - 4*x**2 + (1 - 1 - 2*x)*(0*x + 2*x + 0*x) + 10*x**2 - 193*x**2 - 48*x**2 to the form h*x + v + g*x**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 357367 or 357371?\nAnswer: 357371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Let l(p) = 58*p - 59. Let h = -956 - -957. Let z be l(h). Let i(k) = 3*k**2 - 4. Give z*i(q) - 2*a(q).\nAnswer: -q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-30)\/(-20)) + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(20\/50)\/(12\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(3*5*(-16)\/120)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519*(-5 + 7) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/18*(-8)\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3113*p = -388 - 328726 + 39605 for p.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 300*l + 580.\nAnswer: 5*(l + 2)*(l + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24\/208*12\/9\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 3687 (b) -1\/3 (c) -1 (d) -4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) 254.85 (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.99 - -11. Which is the closest to 0.2? (a) -0.1 (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8748785\/11 - 797037. Let t(y) = 67*y**2 + 5*y - 5. Let z be t(5). Let x = z + k. What is the common denominator of x and -53\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 5*s**2 + 16*s + 3*s**2.\nAnswer: -s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-980)\/(-161) - 1*6. What is the nearest to -2\/7 in -1, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/31 + 108\/155. Let j = 1.4 - 6.4. What is the closest to 1\/5 in x, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 6*j**2 - 5*j - 9. Let w = -602 + 609. Determine v(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7\/3 (b) 3 (c) 5 (d) -2\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -446 - -448. Suppose -h - 746 = -y*h. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m + 2*m)*(-2*m**2 + 7*m**2 - 3*m**2)*(2*m**2 - 2*m**2 + 8*m**2).\nAnswer: -32*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15727 divided by -3\nAnswer: -15727\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*c = 120*c + 5*s + 10, 5*s + 20 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4830)\/56*1176\/2205?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (2 - 2) + 2. Suppose -10*v + 5*v - 5 = 0. Let d be 1 - 3 - (v + n). Put d, 0, -4, 1 in decreasing order.\nAnswer: 1, 0, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6120 and 5\/40625172.\nAnswer: 406251720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 8 = -4*x, 11*p + 29 = 3*x + 7*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 10*a. Let s(q) = 2*q**2 - 6*q. Let u = 351 - 356. Let i(f) = u*s(f) - 3*g(f). Let y(n) = 75*n. Determine y(i(m)).\nAnswer: 150*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*u + 23 = -26 + 49 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = 48*u + 255 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412265951?\nAnswer: 37, 11142323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 7.6 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2693*x + 8482. What is the tens digit of t(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(78)*-5 - 5*sqrt(78)*2))\/(-6*sqrt(192)\/sqrt(8)*-3).\nAnswer: 20*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -91123, -90399, -89679, -88963, -88251, -87543?\n\"Answer: -2*j**2 + 730*j - 91851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpqzpllwwqwwwg. What is prob of picking 1 z and 1 l?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 33*o**2 + 16632*o + 16608. What is r(-503)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:29 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106a543 (base 12) to base 14.\nAnswer: -5b616b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -123556 - 42?\nAnswer: -123608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 5*m**2 - 17*m - 90. Let p(k) = 3*k**2 - 10*k - 44. Give 3*n(t) - 5*p(t).\nAnswer: 3*t**3 - t - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**5\/60 + 4*k**2. Let s(n) = -n**3 - 14*n**2 + n + 9. Let l be s(-14). Let x(u) = u**2. Determine l*x(z) + 3*w(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let n be p(3). Suppose 4*o + n = 5*o. Solve u + 2*b = b, 10 = 2*u - o*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 - 120*y**4 - 140*y**3 + 350*y**2 + 615*y + 250.\nAnswer: 5*(y - 25)*(y - 2)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18383 + 30007. What are the prime factors of a?\nAnswer: 2, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 1, 5, -9.\nAnswer: -9, -7, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o + 12. Let u be a(4). Let n be 0 + 3*u\/(-6). Suppose n*x = -x. Solve -g - 2 = -2*f - 3*g, 2*f + 3*g - 3 = x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5 + 9*r - 6*r + 0*r - 10*r. Let h(q) = -7*q + 4. Calculate 5*h(p) - 4*z(p).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (2 - 4))*-1. Let j = 52.2 + -53.2. Which is the nearest to j? (a) -0.1 (b) -1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/36 + 58\/18. Suppose 28 = v*l - 2*y, -5*l - 3 = 4*y - 13. Solve -2*h - 2*c = -l, -6*c + 3*c = 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 3)\/(3640\/(-1365))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4421707 (base 10) to base 2.\nAnswer: 10000110111100001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55159, 55158, 55157, 55156, 55155?\n\"Answer: -b + 55160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 = -3*i - i, 2*i + w - 7 = 0. Let j(v) = 50*v + 14. Let b(m) = 17*m + 5. Let k(s) = i*j(s) - 14*b(s). Let g(p) = -p**2. Give k(g(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f - 57. What is the remainder when v(21) is divided by (10\/25)\/((-2)\/(-20)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*x**5 - x**4 + 418*x**2 + 233602*x.\nAnswer: 1640*x**3 - 12*x**2 + 836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - 41 - (-11 + 2 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1157 - 808. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -94 (b) -0.4 (c) 3\/65 (d) -34 (e) 7 (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 60 and -1659.\nAnswer: -1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1967 = 9*a - 1958 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.094889 * -2.5\nAnswer: -0.2372225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07554 rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 23*d**2 + 3*d - 33. Is 36 a factor of c(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**3 - w + 8*w**3 + 13 + 6*w - 5*w**3 - 3*w in the form z + m*w**2 + y*w**3 + d*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*t**4 - 31*t**3 + 2*t - 21036 wrt t.\nAnswer: 140*t**3 - 93*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5 + 0*g + 5*g**4 - 10108*g**2 - 503*g**6 + 1046*g**2 - 28*g + 28*g wrt g.\nAnswer: -60360*g**3 + 60*g**2 + 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -17*a + 9. What is n(-4)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z - 6. Give i(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 + 199 + (-1 - (-2 + 13))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + m - 4*m + 5 = 0, 4*m - 10 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -94. What are the prime factors of (a\/(-6))\/(2\/4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -3 - -2 - (-37 + 22 - -26) - -76.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306 by -153.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 4\/32)*4\/(-15). Let r = -8\/15 - k. Suppose m = -3*n - 0 + 8, -2*m = 5*n - 14. Which is the smallest value? (a) r (b) m (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2. Let l(t) = 5*t**2 - 3*t - 3. Let d be l(6). Let s(o) = -d - o + 159. What is m(s(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 145 = -3*o. Suppose -2*a - o + 33 = 0. Suppose 0 = 5*j - a*y - 15, -3 = -3*j + 2*j + 2*y. Solve -q + 2*q = j*m + 13, -3*q = 3*m + 21 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/271185 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 2 - 1) + -4 - -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from dcccgccccg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 10:00 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 + -0.09. Which is the nearest to 1? (a) 1\/2 (b) 60 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -4 + (0 - (-11 - -5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 6. Let i be k(-6). Let v be (-6)\/15 + (-22)\/(-5). Suppose 2 - 18 = -v*r. Solve r*p = 2*p - 4*w + 6, -4*w + 8 = i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*b**5 - 4005*b**4 - 53940*b**3 - 79985*b**2 + 23430*b = 0. Calculate b.\nAnswer: -11, -2, 0, 1\/4, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*r - 74 = 0, 5*r - 3*r + 108 = 2*a. Suppose 5*i - a = 171. What is the remainder when i is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.75547 + 0.09117. What is o rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11208 + -6340. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9507 + -9506. Which is the nearest to 2? (a) k (b) 0.5 (c) 0.0474\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -195 - -242. Suppose c*p - 11645 = 30*p. Does 33 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-6)*32\/40*21\/(-126).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - g = 12*i - 5688, 3*i - 4273 = g. What is the remainder when i is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 + 5*m - 5*m)*(5*m + 0*m - 4*m) + 2*m**2 - m**3 - 2*m**2 + m**2 + 3*m**3 - 2*m**3 + 0*m**2 + 3*m**3 - 4*m**3 - 6*m**3.\nAnswer: -2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16817 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + 18*f**2 + 50*f + 707. What is g(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 25*u - 22*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*1)**2 - sqrt(30)\/(sqrt(10) + sqrt(160)).\nAnswer: -sqrt(3)\/5 + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**3 + 3*a**2 - 7*a - 333. Determine b(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 14, a: 1, w: 2, x: 1}. Give prob of picking 1 a and 2 q.\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a - 35. Let h be l(4). List the prime factors of (h - -4)\/(6\/(-1498)).\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, j: 8, i: 5}. Give prob of picking 1 i and 3 j.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6093 - -67021\/11. Let t = 2.5 - 2. What is the second biggest value in t, z, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g**2 - 2*g + 1. Let y(m) = m**2 + 8*m + 9. Let i be y(-7). Let a = i + -1. What is o(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.62 + 5. Let o = 0.12 + z. Let c(b) = b - 12. Let f be c(7). Put f, 0, o in ascending order.\nAnswer: f, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, 155, 232, 309?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53445?\nAnswer: 3, 5, 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2)*(-6)\/(-6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4079*r + 1260373. What is v(309)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 507794 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13681 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7311, 29387, 66181, 117693, 183923, 264871, 360537?\n\"Answer: 7359*r**2 - r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**7\/56 - 23*c**4\/12 - 57*c. Let s(o) be the third derivative of w(o). Let p(n) = -5*n**2. Calculate p(s(i)).\nAnswer: -10125*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2*u**4 + 8*u**3 + 0*u**2 + 4*u**2 + 14 - 2*u**2 as i*u**2 + k*u**3 + q*u**4 + r + m*u and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 145062.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 11:45 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 197, 0, -0.1, -2 in decreasing order.\nAnswer: 197, 2, 1, 0, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697.01341 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 10. Let d(g) = -14*g - 10. Let f be d(-1). Solve 4 = -4*r, 0 = f*h - w*r + 4*r - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(336)\/sqrt(48) + sqrt(280)\/sqrt(160)).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1557 - -2) + -22*18\/36 is divided by 381?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 122. Suppose f - 8 + 3 = -2*k, 3*f - l = k. Let n = f - -4. Calculate the highest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -z. Suppose 3*d - z*y = 63, -5*d = -0*y + y - 111. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -5, -2, 21733\/23.\nAnswer: -5, -2, -0.6, 21733\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/30 and -49\/740?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 3:41 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2684, -10792, -24318, -43256, -67600, -97344, -132482, -173008?\nAnswer: -218916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*c - 196 = -30*c + 5*b, -265 = -4*c + 3*b. Solve -15*t - c = -127 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*l - 102 = 0. What is the remainder when l is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58981610267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 0.075, -24, 0?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 45*c**4 - 104036280*c**3 - 69357640*c**2 + 231191840*c - 92476720 = 0.\nAnswer: -2, 2\/3, 2311918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 8. Let f be t(-5). Suppose -25 = 3*p + 5*r, -r = -f*p - 2*r - 5. Solve -x + 4*x - 12 = p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15634105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdddxfddddxxfudfdddd. Give prob of picking 1 x and 1 d.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24025*u**3 + 121*u + 93?\nAnswer: 144150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 4775348174409*d - 4775348174409*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (78\/36)\/((-14)\/(-42)). Let k(u) be the first derivative of -n*u**2 - 16 + 3*u**3 + 0*u. Find the second derivative of k(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.389062 to three decimal places.\nAnswer: 1.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5 - 2784950*n**4 - 387802894950*n**3 - 1551158666100*n**2 + 1163425394475*n + 6980251594410 = 0 for n.\nAnswer: -278493, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -i + 27. Let q(c) = c**3 + 24*c**2 + 26*c + 25. Let j be q(-23). Let g = -38 - j. What is the greatest common factor of g and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(605) - 3*sqrt(605))**2 + -4.\nAnswer: 12096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 329, 1252, 2827, 5054?\n\"Answer: 326*g**2 - 55*g + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((-6*(-1*sqrt(425) + sqrt(425)) + sqrt(425))*1 + -5)*-2)**2.\nAnswer: -7200*sqrt(17) + 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 321. Let u(n) = 79*n + 403. Determine c(u(s)).\nAnswer: 6241*s**2 + 63674*s + 162730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 18}. Give prob of sequence bb.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csssxxcxs. Give prob of picking 3 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 = -3*x - 2*x. Suppose 10 = 5*o, -4*g - 4*o + x = -135. Let n be (-109)\/(6867\/1386) + 338\/2. What is the highest common factor of n and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*r + 835*r - 177 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -83314244 smaller than -83314244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 71. Calculate the remainder when 439 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 37*v + 64. Let s(x) = -28*x - 68. Give -2*a(g) - 3*s(g).\nAnswer: 10*g + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 302037 + 0?\nAnswer: 302037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 5*c - 10, -1739 = -p + 3*c - 1751 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in -1, 0.3, -5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94\/27 + 422\/297. Is x smaller than -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -459.74 + 459.94. Which is the second smallest value? (a) 1 (b) g (c) -2 (d) -1 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.525183 kilograms in tonnes?\nAnswer: 0.007525183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0 + 0*j**5 + 0*j**6 + 0*j**2 - 1\/6*j**7 + 0*j**3 - 7*j - 1\/3*j**4. What is the third derivative of i(u) wrt u?\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -0.391\nAnswer: 12.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 4*1\/(-2). Suppose -4*q - c + 5 = 0, 3*c + 25 - 8 = 4*q. Find the third derivative of 6*g**5 + 27*g**2 - q*g**5 - 33*g**v wrt g.\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33 - 22 + 34*t**2 + 340*t**2 + t - 3*t + 15 wrt t?\nAnswer: 748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -104*d - 2987. Give f(-27).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 28*h + 1. Suppose 0 = 4*l - 42 + 2. Calculate the remainder when i(1) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 1 - 1)*(-4*p**3 + 23*p**3 + 27*p**3) as v*p + x*p**2 + q + y*p**3 + o*p**4 and give o.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -183*p - 64*p. Let k(n) = -n + 1. Let x be k(-3). Solve p*d = x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2*(-8)\/(-3). Suppose x*g = g + 12. Suppose -2*u + g = -3*u. Sort -2, u, 3 in decreasing order.\nAnswer: 3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6e9e6b (base 16) to base 8.\nAnswer: 33517153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 - (56 - (150 - 35))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30280.38ml in litres?\nAnswer: 30.28038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/14 - (-6 + 240\/42). Let r be v\/((-6)\/8*4). What is the third biggest value in 2\/9, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Suppose n*b = 2*b + 14. Let k(o) = o**2 - 8*o + 8. Give k(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -68. Let o = 84 - r. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20941 or 7616?\nAnswer: 7616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a + -a03b5?\nAnswer: -a0402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 24826*q**2 + 1 - 24830*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 803975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 8494*r**3\/3 + 10133*r**2\/2 + 6201. Find the second derivative of y(j) wrt j.\nAnswer: 16988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/4 of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.59 times 0.05?\nAnswer: -1.7295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaarraa. What is prob of sequence ar?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 107172691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 712*v - 1. Let h be j(2). Let l = 1597 + 120. Suppose l + h = 10*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*f - 89*f + 2*f - 57*f - 25)*(-2*f**2 + 3*f**2 - 2*f**2).\nAnswer: 112*f**3 + 25*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29363.\nAnswer: 29363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4408477 millilitres?\nAnswer: 0.0004408477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38 - -37)*104*2. Is -211 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1726 - 1726. Let y(z) be the first derivative of 4\/55*z**5 + 3 + 0*z**4 + n*z + 1\/11*z**2 - 1\/33*z**6 - 4\/33*z**3. What is h in y(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 398 = -350. Let q(m) = 2*m**2 + 8*m + 10. Let x be q(w). What is the highest common divisor of 814 and x?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -6 + 10 - -14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 235518 from 0.2.\nAnswer: -235517.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 9*s**2 + 12*s + 14. Let z be -2 - (-9 + 3\/(-1)). Let t = -13 + 25. Calculate the remainder when n(z) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - j - 14 = -m, -2*j + 20 = -4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1457131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 3*m**2 + m + 3. What is the units digit of y(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + k - 3. Let f be n(7). List the prime factors of (-2)\/(-5) + (-1197)\/f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8\/15 - -14\/45. Let w = 3 + -3.01. Let q = -5.01 - w. What is the nearest to 1 in q, k, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 173*a**2 + 2*a - 9. Is c(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 90 = 23*p. Let q(z) = 0*z + p*z + 7 - 17*z. What are the prime factors of q(-11)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10414 - -10441. Solve -d*p = 12*p + 273 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1748767540 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: Work out 443.607 * 1.1.\nAnswer: 487.9677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/((-135)\/80) + -3)*234. Let f = z - -536. Does 85 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fctttttftffffctf. Give prob of sequence fctc.\nAnswer: 7\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15965, 15961, 15955, 15947, 15937, 15925, 15911?\nAnswer: 15895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 + 10 = 0. Let g be -90*-1*(3 + w). Let v be 38\/g - (-6)\/(-30). What is the second smallest value in 0.5, v, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54*(4914\/(-156))\/(-21)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3544 divided by -8.\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*v**2 - 23*v**2 + 117*v**2.\nAnswer: 316*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 5 = 5*m + 9, 3*m - b = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 109*r**2 - 321*r + 337. Determine n(106).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400 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: b\"What is the sth term of -6627, -13608, -20589, -27570, -34551, -41532?\n\"Answer: -6981*s + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f - f**3 - 2*f)*(-345*f - 712*f - 1211*f + 356*f) as j*f**2 + c + q*f**4 + w*f + m*f**3 and give q.\nAnswer: 1912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - 2*r - 16, 0 = -4*w + 5*r + 37. Solve 0 = -2*z + 4*a, -2*z - w*z = -a - 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -475? (a) 878 (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12449160 and 7020?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 69 = -4*l + 7, 3*l - 62 = 2*m. Calculate the highest common factor of l and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10b0 - -9bb4?\nAnswer: ac84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvv. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 126 - 4 = 0. Suppose -2*y + 14 = -r, -r - 3*y - 26 = -2. Let i = r + n. Solve 4 = -2*w + i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/72 - 1\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350836626 to the power of 1\/3, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 2, 3, 2, -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 6:53 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291674?\nAnswer: 2, 41, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 231760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2 + k**2 - 2*k - 4*k**2 + 0*k = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 328 = -7*r, 0 = 156*r - 152*r - 5*m - 212. Let s = -61 - -97. Suppose -3*l + 24 = -s. Calculate the remainder when r is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-48))\/(((-9)\/(-8))\/(-3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 less than 75710986687?\nAnswer: 75710986686.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*t - 380 = w, -5*t = 4*w - 379. Let f be -1 - 2 - -1*10. Let g be f*2 + (-6)\/3. What is the highest common divisor of g and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275395578 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, 28, 81, 158, 259?\n\"Answer: 12*f**2 - 7*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4\/3*k**3 + 480*k - 1444\/3*k**2 + 0 = 0.\nAnswer: 0, 1, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 272 - 212 = 0. Solve 0 = 4*t - 5*j - 12, -b*t + 2 = -3*t - j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108815 = -5*x - 0*g - g, -4*x - g = -87053. Is 78 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.47138 times -7.05\nAnswer: -10.373229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2612399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 243519 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17355\/1826 + -4\/913. Let u(l) be the first derivative of -5\/4*l**4 + 0*l + j*l**2 + 6 + 0*l**3. What is the second derivative of u(x) wrt x?\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*b**2 - b - 2*b**2 - 27*b**2 - 7 + (0 + 1 + 1)*(-3*b**2 - 3*b**2 + 3*b**2).\nAnswer: 17*b**2 - b - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.1, 2\/97, -31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(0 + 1 + 2*o + 2) to h*o + s and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26.75 times -0.3\nAnswer: -8.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1013, -2030, -3057, -4100, -5165, -6258, -7385?\n\"Answer: -l**3 + l**2 - 1013*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 28*j + 30. Let x(d) = 2*d**2 - 17*d + 6. Let m be x(5). Let k be o(m). Put -1, k, 0 in decreasing order.\nAnswer: k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 90 + -56. Let s = g - 30. Let l be 0\/(-2)*((-4)\/(-4))\/(-2). Put l, s, 2 in descending order.\nAnswer: s, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 3*d, 28*d - 47 = -c + 26*d. Which is greater: c or 29?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h - 664 + 1106 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 174226 (base 14) in base 11?\nAnswer: 509752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**3\/3 + 4*q**2 + 10*q - 2324. Determine o(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1.28.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/((-32)\/(-12)) + 11. Suppose -o*d + 12 = -4. Suppose -2*h + 0*p - p + 1 = 0, d*h = 2*p + 16. Solve 4*v - h*u = -32, -u - 2 = 3*v + 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*t - 64 = 0, 83 = 5*l - 5*t + t. Suppose 0 = m - 3*m + 2. Suppose -g + l = m. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.938 times -4?\nAnswer: 27.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 204.2398558 rounded to one decimal place?\nAnswer: 204.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28725401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31436.2 kilograms?\nAnswer: 31436200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 135*h + 257*h - 153*h + 155*h + 75*h.\nAnswer: 3*h**2 + 469*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 - 1355*q + 8057. Give u(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9384290?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13464037*w**3 + w**2 + 8*w + 191361129 wrt w.\nAnswer: 40392111*w**2 + 2*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 13*b**4\/24 + 47*b**3\/6 + 8*b**2 + b - 144. Let h(k) = -6*k - 23. Calculate 4*g(d) + 9*h(d).\nAnswer: -2*d - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 11) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 27*q**2 - 7 - 11990*q + 11990*q as w + u*q + a*q**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l*l**6)*l))**(-31\/4))**8 assuming l is positive.\nAnswer: l**(-434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 12. Solve -2*x = -5*b + 21, -12 - 1 = -b - q*x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 1:58 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**2 + 16*w**2 - 7*w**2 + 7 + 5.\nAnswer: 2*w**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/4 (b) 4 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -102542, -102540, -102538, -102536, -102534?\n\"Answer: 2*k - 102544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, w: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -11499*f**2 + 5942*f - 50. Let d(z) = -2875*z**2 + 1485*z - 12. Let r(u) = -25*d(u) + 6*h(u). What is the second derivative of r(x) wrt x?\nAnswer: 5762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2467655 a multiple of 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -268*f**3 + 1595*f**2 + 77*f + 4. Give o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**4\/42 - 10*h**3\/21 + 25*h**2\/7 - 10*h. Factor t(l).\nAnswer: 2*(l - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.38 + 2.48. Suppose 5*w = -20 - 0. Which is the closest to j? (a) w (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365094.8021 rounded to the nearest 10?\nAnswer: -365090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7244106 is divided by 235?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36753973.\nAnswer: 36753973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 18, 2, -0.5, -24?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, s: 3, j: 3, m: 2, v: 1}. Give prob of sequence jmj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -454*r**2 - 47 - 4*r**4 + 455*r**2 + 2*r**4 + 16 to the form j*r**3 + q*r**4 + b*r + l + p*r**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -4*y + 3*k + 185, -3*k = -y + 23. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3*(4 - 3). Let n = -2 - -2. Let o = 0.7 + -0.6. What is the nearest to n in o, -1\/6, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -14\/3*z**3 - 4\/3*z**4 - 1\/20*z**5 - 5\/2*z**2 - 15*z + 0. Let o be d(-14). Let s(q) = q**3 + 5*q**2 + 7. Calculate s(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - 29 - (-28 - 55)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbznpnxonpon. What is prob of picking 1 o, 1 n, and 1 p?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -768*f**5*t*z - 2*f**5*z + 20*f*t*z + 13*f*t - 2*t wrt f?\nAnswer: -15360*f**3*t*z - 40*f**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11363325 divided by -2272665?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1536*l + 11814 - 111874 = -11641 + 17565 for l.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1752\/(-72) - -25)*6*2. Solve 98 = -f*j + 58 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 d when four letters picked without replacement from iudddidduiuuudduuuu?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 12:57 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(3\/7)\/w**(-10))**7)**(-34))**45 assuming w is positive.\nAnswer: w**(-111690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 8*r = 3*c - 22, 7 = -5*r - 2*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from cbvbvbbvbvbvbcvv.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 51 - 38*j + 69*j - 35*j + 2*j**2 to l*j**2 + z*j + g and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450 and 5325.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(17)*-2 - sqrt(17)))*1*-5.\nAnswer: 25 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/12)\/((-20795)\/(-24954))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 132 - 7 = 0. Let b = v - -30. Is b at most 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 34. Suppose -6 = -3*j + k. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s = 50. Do s and 10 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 - 0 - -8 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 31 - (0 + 4 + 5)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -13. Suppose -2 = 2*g, 0 = 2*z + z + q*g - 26. Suppose 4*h = 2*j + 22, h - 2*j = -0*j + z. Solve 0 = 3*m - h*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24043*x + 6774*x + 11272*x)*(1 - 1 + 4*x**2) in the form t*x**3 + o*x + p + g*x**2 and give t.\nAnswer: -23988","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1633 + -153435?\nAnswer: -151502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5720730 by -9.\nAnswer: -1906910\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22753, -22951, -23287, -23761?\n\"Answer: -69*g**2 + 9*g - 22693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 8*g**2 - 1 + 2*g**3 + 1 + 6 + 6 - 22*g = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -4\/49 (c) 0.48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*-6*((-5 + sqrt(108)*1 + 4)**2 + (3*-2*sqrt(108) - (4 + sqrt(108)*-1)**2)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.5. Let w = -4 - -3.8. Let o = 8.8 - w. Which is the closest to 1? (a) o (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.04 and 32?\nAnswer: 42.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p**2 + 8*p + 6. Let l(d) = -8*d**2 - 7*d - 5. Determine -5*a(u) - 6*l(u).\nAnswer: 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Suppose -155 + 62 = -3*x. Let w = -9 + x. What is the smallest common multiple of w and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 176.25255869.\nAnswer: 176.25255869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5 - 2 - 3 + 17*w. Let q be l(1). Suppose 0 = -3*i - 3*f + f + q, 0 = -5*f + 5. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/1 + (5 - 5). Let n(s) be the third derivative of 0*s + 0*s**4 - 1\/3*s**3 + 0 + 1\/30*s**5 + 2*s**r. Differentiate n(f) with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - (54 + -21 + -16 - 48)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnzljzwi. Give prob of sequence inzw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a millennium in decades?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1184\/31 + 50999\/1302. Let s = 9\/14 - d. Which is the closest to 0? (a) s (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 345243.50162 + -345050.55715963. Let y = w - -0.05444963. Let s = -193 + y. What is s rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 33*c**2 - 9*c**2 + 2 - c - 28*c**2. Let n(p) be the second derivative of 13*p**4\/12 + p**3\/3 - 7*p**2\/2 - 3*p. Determine 7*k(a) + 2*n(a).\nAnswer: -2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 6*t**2 + t. Let p(k) = k**3 - 2*k**2 - 2*k + 3. Let i be p(3). What is the smallest common multiple of 6 and r(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 47)\/(1\/11). What is the highest common divisor of 43 and a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0.5, -3228.\nAnswer: -3228, -3, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 4, b: 10, n: 3}. Give prob of sequence ee.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 13*q + 18. Put 4, 16, q, -2 in decreasing order.\nAnswer: 16, 4, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 - 151. Which is the third biggest value? (a) 0.3 (b) d (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 16. Let k be 3\/(-1) + 2 - 3. Let t = z + k. What is the remainder when 17 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 1:20 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*l - 18, -4*l - 4 = 4*f - 16. Let a be -2 - (-1 + 3 - (f - 2)). Solve a = 4*p - 2 - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45131.01 hours to nanoseconds.\nAnswer: 162471636000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand -6*i**2 + 2*i**2 + 7*i**2 + (i + 0*i + 2 - 3*i)*(-140 - 26*i + 140).\nAnswer: 55*i**2 - 52*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s + 7. Let k(q) = q - 1. Let h(l) = i(l) + 2*k(l). Let x be h(5). Calculate the remainder when x + (3 - 2) + -3 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/120 + 17*f**5\/60 - f**4\/12 - 8*f**3\/3 - f**2 + 7. What is y(-17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7099*w + 7100*w - 13 = -2*r, 0 = -5*r + 6*w + 41 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0282*-773.\nAnswer: 21.7986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7147, 56992, 192229, 455554, 889663, 1537252?\n\"Answer: 7116*b**3 + 33*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 4*l - 8, -13*z - 2*l = -14*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/((c**(2\/35)\/c)\/c))*c\/c**(-1\/10)*c*(c*c*c\/((c**37*c)\/c*c*c)*c)\/c*c*c\/c**1 assuming c is positive.\nAnswer: c**(-2439\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35)\/(-20) + (-1)\/(-4). Let u(m) = 2*m + 2. Let f be u(v). Let r(w) = -w**2 + 7*w + 3. Let i be r(7). Solve -i = -t - 4*k, f*k - k = 4*t + 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 730977 and 730987 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 82*k + 92*k + 92*k - 267*k. Let x(d) = -35*d + 4. Let g(t) = 420*t - 49. Let i(u) = 4*g(u) + 49*x(u). Determine r(i(a)).\nAnswer: 35*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/8*n - 1\/2*n**2.\nAnswer: -n*(4*n + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - v + 14 = 0, 3*v - 24 = 2*u + u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u. Let y(f) = -3*f. Determine y(z(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -506663 + 104180.\nAnswer: -402483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 20. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-24 - (-13)\/((-65)\/10)). Calculate the highest common factor of k and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*sqrt(468)*-1*-4 - -6*((1*sqrt(468) + sqrt(468))*-2 + sqrt(468)))*-1)**2.\nAnswer: 606528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9931 * 3348.1.\nAnswer: -33249981.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927986468.\nAnswer: 2, 231996617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*h - 388*h - 8095*h - 4968*h = 1405376 for h.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 198195*h + 1189188. Give l(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1108, 1146, 1198, 1270, 1368, 1498?\n\"Answer: t**3 + t**2 + 28*t + 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 9:56 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 17319644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 16 = 20. Suppose -2*n - 321 = -3*d, -34 = -d + 4*n + 83. Find the common denominator of 308\/d + 1\/z and -65\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y = 0. Suppose -4*c - 107 = u + 4*u, -u + 2*c - 13 = y. Let a = u - -34. What is the remainder when 44 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 51*c + 1. Is 5 a factor of j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**8\/420 - z**4\/12 + z**3\/6 - 5*z**2. Let h(i) be the first derivative of k(i). Differentiate h(m) with respect to m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12728*x - 56230 - 45594 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -21, -2.07 in increasing order.\nAnswer: -21, -2.07, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -35 + (63 + -157 - -105)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/28 - (-6)\/(-21). Let a be (-1)\/(1\/10) - 2. Let b be 2\/a*-4*1. Which is greater: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:47 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 970064?\nAnswer: -970063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 236*q + 12260. What is z(-52)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -535 - -755. Suppose 3*s + s - k = 0. Calculate the remainder when s is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-16)*8*13\/((-4004)\/(-16))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 25*t**2 + 126*t + 4. Let i be j(-5). Is i < -7\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 + c20?\nAnswer: c29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253*k - 688*k + 1322 = 649*k + 5942 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4 + 5*j - 5*j + 3*j - 4*j. Suppose 5 = 3*a - 4*a. What is the units digit of s(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 24*y = 3*i + 18, -3*i + 6 = 3*y. Solve 0 = -20*p + 17*p - y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-80) + (-2)\/(-16)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-13) - 384\/39. What is the lowest common multiple of (144\/(-60))\/(4\/o) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - -56. Let n = -45 + c. Suppose 5*d + 3*y = n, d - y - 2 = -0*y. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 2*n + 2*n - n + 27, -4*w - 514 = n - 535 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4476, 4526, 4610, 4746, 4952, 5246, 5646, 6170?\n\"Answer: 3*w**3 - w**2 + 32*w + 4442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 10*i - 44, 3*w + 3*i + 9468 - 9567 = 0 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 346266740 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(d + 2*d - 5*d)*(15 - 34 - 4) to i*d + v and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - 206 - 6*s - 3*s**3 + 208 to the form b*s + y*s**3 + g + v*s**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, q: 3}. Give prob of picking 1 q and 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 3*s**3\/2 - 13*s**2\/2 + s - 3. Let m be v(2). Let c be 25*-1*(-36)\/60. Solve 5*r = -3*p + 2 - 21, c = -r + m*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 17832?\nAnswer: 124824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 693420 and 14.\nAnswer: 693420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22209, -22219, -22243, -22287, -22357, -22459?\n\"Answer: -b**3 - b**2 - 22207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 919863053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584 and 365?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {p: 3, h: 12, l: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**3 - 6*l**2 + 2*l + 13. Does 10 divide d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, g: 2, e: 1, i: 1, v: 11}. What is prob of picking 1 t and 1 e?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2171649*u - 2171649*u + 4*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 7. Let j be d(-8). Let w be ((-2)\/1 - j)\/1. Let m = 3 + w. Solve f + m = -1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 + -54. What are the prime factors of c?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -51*q. Let j(m) = -723*m. What is j(a(s))?\nAnswer: 36873*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 382024*r**2 + 2292020*r - 1910000.\nAnswer: 4*(r - 95500)*(r - 5)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/6 - 206921*o\/2.\nAnswer: -o*(o + 620763)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329299, 329214, 329133, 329056, 328983, 328914, 328849?\nAnswer: 328788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1 - (-8)\/6). Let z = 76 + -74. Sort z, -2, v in descending order.\nAnswer: z, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + ((sqrt(1100) + -1 + 3 + sqrt(1100))**2 - sqrt(1100))) + -2.\nAnswer: 210*sqrt(11) + 13213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 101.30799753696.\nAnswer: 101.50799753696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 2\/25 (c) -0.3 (d) 5 (e) 1 (f) 14 (g) -46\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -605 + 599. What is the lowest common multiple of b\/(55\/(-20) + 2) + -2 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258423547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 - 161160*t\/7 - 805750\/7.\nAnswer: -2*(t + 5)*(t + 80575)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -6 + 4 - 9 - -1) + -5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 52073.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 41*l = 490. Suppose 59*u - l*u - 47928 = 0. List the prime factors of u.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 16 = g, 6*c = c + 3*g + 20. Let k(w) = 641*w - 4*w**2 + c - 631*w + 3*w**2. Give k(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48356 is divided by 1734.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 39115.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 27505936.\nAnswer: -82517808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -459, -48, -4 in descending order.\nAnswer: 51, -4, -48, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -312*u + 88. Let i be r(-41). Round i to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0)**(-35)*(s*s**(-3)*s)**(-18) assuming s is positive.\nAnswer: s**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:30 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a08259 - 3?\nAnswer: -5a0825c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - z**2 - 6*z + 5. Let x be u(2). Let m(y) = 17*y - 3*y**2 - 3*y - x*y - 6*y. Determine m(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.37985 + -0.38. What is q rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1551 minus 12?\nAnswer: -1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5053, 40446, 136483, 323488, 631785, 1091698?\nAnswer: 1733551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 2*u**2 + 3*u + 4. Let b be k(-3). What is the third biggest value in 4\/5, -0.009, b?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((3 + sqrt(684) - (sqrt(19)*-4 - sqrt(19))*2) + 2 + sqrt(114)\/(sqrt(6)*-2)*3))**2.\nAnswer: 5220*sqrt(19) + 144711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/95 + (-94024)\/135926.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9672844.\nAnswer: 2, 1193, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (82 + 14)\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide (1 - (-39722)\/6) + (-2)\/6 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 7*t**3 - 39*t**2 + 49*t + 66. Is c(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12727, 25567, 38397, 51211, 64003?\nAnswer: 76767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318536231.\nAnswer: 13, 3251, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -52, -2, 5, 13065, -5, 7 in decreasing order.\nAnswer: 13065, 7, 5, 3, -2, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + (-8 - -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-4 + (3 + -4 + sqrt(72)*1 + (2*sqrt(72) - sqrt(72) - sqrt(72)) + 1)*-2*-5))**2.\nAnswer: -480*sqrt(2) + 7216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 92*u**2 - 383*u + 93. What is c(-96)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1427 and -5.\nAnswer: -7135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -235 - -133. Let t = c + 155. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -707\/5 - -142. Let s be (-10)\/14 - (-6)\/(-21). Let p = 4 + -3. Sort u, s, p in descending order.\nAnswer: p, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-18)*(27\/12)\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5742, 4, 15, 0 in descending order.\nAnswer: 5742, 15, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 1450116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429313 is divided by 2713.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i - 2*i**4 + i - 2*i**4 + i**3 - i**3 + (-2*i**2 + 0*i**2 + i**2)*(2*i**2 - 1 + 1) - 2*i**4 + 0 + 0 + 2*i**4 - i**4 + 0*i**4 - 4*i**4 - i**4 + 3*i**4.\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**3 + 308*u**2 - 13032*u + 123120 = 0.\nAnswer: -190, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 40, 0, -2\/7, -25?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c. Suppose 4*m - l - 15 = 0, -3 + 0 = -3*l. Let o = c + m. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p - 1. Let v be u(-4). Suppose -2*f = -v - 1. Calculate the least common multiple of f and (4 - (-8)\/12)\/(2\/6).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 881\/2 - 458. Let s = d - -17. Is -4\/7 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23022 divided by 6?\nAnswer: 3837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.51654 - 3.51735. Let l = 2 + 0. Let b = y - l. What is b rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 5:14 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 13*z + 9*z + 652 = 0, -5*w - 3*z + 821 = 0. Let c = w + -156. Solve -c = 3*u + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122361 is divided by 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-25)\/15) - (-194)\/10. Suppose o*w = 6*w + 42. Factor 1\/2*l + 0 + 3\/2*l**w - 1\/2*l**4 - 3\/2*l**2.\nAnswer: -l*(l - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j*m**4 + 3*j*m**2 - 2*j*m + 43*j - 2*m**5 + 77*m**3 wrt m.\nAnswer: -48*j*m - 120*m**2 + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 9)*(4*m**5 - 2*m**5 - 3*m**5).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 7*m + 6. Let w be o(-3). Sort -1, w, 2, 4 in descending order.\nAnswer: 4, w, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -30, 10762, -30\/11?\nAnswer: 10762","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - (23 + -16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z - 4. Let f be x(6). Suppose -m = -5*m - 20, f*m - 828 = -2*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 4*v - 5. Give n(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Suppose -2*g - 1 = -7. Suppose -6 - 3 = -p*o - g*i, 0 = -5*i. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2*1))\/((-24)\/(-40))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w. Let y be (8\/6)\/(4\/6). Let n(u) = -u**y - 4*u - u + 5*u. Determine n(l(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 19*o - 42. Calculate a(-17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**11*r)\/r)\/r)**(1\/40)\/(r**(-14)*r)**(6\/29) assuming r is positive.\nAnswer: r**(341\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -11. Suppose 447 - 57 = -5*w. What is the common denominator of p\/(-4) + w\/(-8) and -33\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14a023 (base 15) to base 13.\nAnswer: 28b261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3302204444 + 12?\nAnswer: -3302204432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18207608 is divided by 6027?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1135 * 846.\nAnswer: -96.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 5034.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -30, 0.04?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008830889 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + ((0 + sqrt(2299))**2 - sqrt(2299))*-6) - (sqrt(19) + (sqrt(228)*-2)\/sqrt(12) + 4*2*sqrt(19) + (sqrt(684) + 2*sqrt(684) + -3 - sqrt(684))**2).\nAnswer: -85515 + 461*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 36.3 from 680.95904241.\nAnswer: 644.65904241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11028 is divided by 3328?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.11 + -12.61. Let i = 0.005 - 4.005. What is the nearest to 0.13 in -1\/7, t, i?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1362955 is divided by 91?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.33 + 0.03. Let d = 1543\/15 - 308\/3. What is the closest to -0.3 in 0.3, d, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, -2, 4, 3\/4 in decreasing order.\nAnswer: 4, 3\/4, 0.25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -161717077, -161717076, -161717075, -161717074?\n\"Answer: y - 161717078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.017 - -59\nAnswer: 58.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/9 (b) 3 (c) 0.5 (d) -2\/11 (e) -1\/39 (f) 2.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 19*v + 9. Give u(-8).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccc. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33810)\/(-3920))\/(2\/(64\/36))?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 16 = -2*x. Let l(v) = v**2 - 4*v + 6. What is the units digit of l(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -256436 (b) 3\/8 (c) 2 (d) -2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82364, 82370, 82386, 82418, 82472, 82554, 82670?\nAnswer: 82826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 100969\/(-9179)*42\/11\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*y**2 - 5*y**3 + y**3 + 34*y**2 - 26*y**2 - 6*y**3.\nAnswer: -10*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 1870\/4351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -67. Suppose -9 = -c*g + 24. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4649*f - 2324*f - 2515*f.\nAnswer: -190*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109934 + 156622. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**7\/210 - 17*y**6\/480 - y**5\/12 - y**4\/24 - y**2\/2 - 8*y - 50. Let b(i) be the second derivative of j(i). Factor b(a).\nAnswer: -a*(a + 2)**2*(4*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -510 + 510. List the prime factors of 1219 - (i + -5 - 0).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 13244*a\/5 + 13246\/5.\nAnswer: -2*(a - 1)*(a + 6623)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000210110 (base 3) to base 15.\nAnswer: -600c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**4*w + 2*h**4 - 8*h**2*w - 2*h - 144*w wrt h.\nAnswer: -12*h**2*w + 24*h**2 - 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21221 - 10002001012?\nAnswer: -10001202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 divided by 10616.\nAnswer: 61\/10616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 117465199659 take away -510?\nAnswer: 117465200169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -157*n + 72. What is the tens digit of w(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**3 + 2*i - 1. Let p be u(1). Let x be 4\/((-3)\/(6\/p)). What is the units digit of (1 - 0)*x + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 29*x**2 + 1884*x - 52003. Give a(28).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opzzup. Give prob of sequence uo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.05 in -0.1, 1\/5, 2, 5\/3, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 4:19 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9233 take away -302?\nAnswer: 305.9233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3041*-33213\nAnswer: 101000733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) - sqrt(5) - sqrt(5) - (4*(1 + sqrt(5)) + sqrt(5)).\nAnswer: -3*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.3, 5, 1\/73?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3 + sqrt(475))*1 - ((sqrt(475) + 1 + sqrt(475))**2 - (sqrt(133)\/(sqrt(7)*3))**2).\nAnswer: -17018\/9 - 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {o: 1, b: 10, j: 3, w: 4, y: 1}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**45*m)\/m**(-28))\/((m\/m**(-18))\/m**(12\/13)) assuming m is positive.\nAnswer: m**(727\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001069981 rounded to 5 decimal places?\nAnswer: -0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 93. What is the second biggest value in -0.14, 3\/5, i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - 8 - 48 + 6.\nAnswer: -4*u**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13.5*-102\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {l: 2, c: 1, n: 1, q: 3, m: 2, k: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 22?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g = 11*g - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 301887 to the power of 1\/2, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*s**2 + 124*s**2 - 35*s**4)*(-64*s - 65*s + 150*s).\nAnswer: -735*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 53 - 15053*p**2 - 62.\nAnswer: -15053*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*u - 1, 4*z - 1 - 6 = 3*u. What is the closest to z in 8, 2\/9, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/(-1620))\/((-7)\/1071).\nAnswer: -68\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 3:21 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -442716530 divided by -102790?\nAnswer: 4307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-15)*s)\/s**(-13\/3) assuming s is positive.\nAnswer: s**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*-1 + 5)*1)**2 - (sqrt(32)*2 + 1).\nAnswer: -18*sqrt(2) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*p - 28, p - 15 = 2*u - 19. What is the highest common factor of 132 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*b + 2*b + 16, 5*b + 32 = 2*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12930 and 10?\nAnswer: 12930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 986493*l - 985957*l + 64320 for l.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 6:43 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u*u*u**(-2)*u*u*u*u)\/u**(-5\/2)*(u**(-5\/6)*u)\/(u*u*(u*u**(3\/2)*u)\/u)*(((u**5*u)\/u*u*u*u)\/u**(4\/5))\/((u\/u**1)\/u**(-4)) assuming u is positive.\nAnswer: u**(251\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*f**2)*(-3*f + 0*f + f) - 4*f**3 + 18*f**3 + 14*f**3 in the form x*f**3 + u*f**2 + d*f + o and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.35853 - -292403?\nAnswer: 292741.35853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*q**2 + (2 - 5 + 0)*(53*q - 1 - 53*q - 6*q**2).\nAnswer: 20*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1873887 - -550\nAnswer: -1873337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*u - 323*u + 133*u + 63*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -0.0035719279.\nAnswer: -1.0035719279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54 - 16?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*a = -a - 6, 3*o - 12 = -2*a. Let l(y) = -y**3 - 131*y**2 - 338*y - 10074. Let x be l(-129). Calculate the highest common factor of x and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.40021 + 4.4. What is t rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-21)*n\/n**(-2\/5)*(n*n**(-1\/8)\/n)\/n*n*n)**8 assuming n is positive.\nAnswer: n**(-749\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 349.2487t?\nAnswer: 349248700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -61153 (base 8) in base 5?\nAnswer: -1301240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.82 times -0.018\nAnswer: -0.03276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -40050 divided by 6?\nAnswer: -6675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 28*l + 57. Let c(d) = 13*d + 33. Determine 5*c(j) - 2*i(j).\nAnswer: 9*j + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 57 = 17*s. Calculate the greatest common factor of s and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46557 and 1296351?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 19, 0.3, -1064, 5 in descending order.\nAnswer: 19, 5, 0.3, -13, -1064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirty-three fifths of a second?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 1 + k + k**3 + 0*k + 24*k**2 - 27*k**2 in the form y*k**2 + h*k**4 + v*k + l + x*k**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 265703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - (-2)\/(-2)*(32 + -35). Suppose -7 = -3*v + 2. Let m = v + -1. Solve q = -2*t + 2*g - 6, -m*g = -8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-6)*(-9 - -3)*(-2)\/15. What is the smallest value in -5, -0.3, 2\/9, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Suppose 6 = 3*w - 0. Suppose -w*t = -5*t + 27. Let q(o) = t*o - 4*o - 2*o + 0*o. Calculate q(p(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 31*j - 29*j + 62*j)*(4*j**4 - 4*j**4 - j**4 + (-2 + 2 - 2*j**2)*(-2*j**2 + j - j) - 2*j**4 - 3*j**4 + 6*j**4).\nAnswer: 8*j**5 - 168*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 182519 times 143?\nAnswer: 26100217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*o + 3, 0*o - o - 2*l - 2 = 0. Let n = -40 + 13. Put o, 3, n, -1 in decreasing order.\nAnswer: 3, o, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+201\nAnswer: 201.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 26*q**2 - 11. Let w be b(4). Calculate the greatest common divisor of 90 and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -14, -124?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32336*u**2 + 26822 wrt u.\nAnswer: 64672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (0 + -29 + 3). Suppose 10 = -24*k + r*k. Suppose -3 = -k*l + 17. Round l to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/17 or -1744?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -87626 and 22343.813?\nAnswer: 109969.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 16259.2264 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 347537, 347568, 347599, 347630, 347661, 347692?\n\"Answer: 31*v + 347506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -432 - 447*f + 432 to n*f + x and give n.\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3313011121 (base 4) in base 2?\nAnswer: 11110111000101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 3\/(-74 + 76 - 58\/24)\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -2793 (c) 2 (d) 532 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 22*u + 46. Let h be 12\/20*(-1 + -4). Let w be s(h). Which is smaller: -21\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from {m: 2, w: 2, x: 2, f: 1, h: 1, o: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*d**3*y**2 + 7*d**3 - 2*d**2*y*z - 845*d**2*y + d**2 - 82*d*y**2 - 12*y**2*z wrt y.\nAnswer: -18*d**3 - 164*d - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5 - 1 + 9 + 2168*n + 4877*n. Let v be d(12). Suppose 6*z - 300553 = -v. Round z to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*u - 2*o = -194*u - 8, o = -3*u + 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 5*d**2 - 489*d - 5084. What is v(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 divided by -22079.\nAnswer: -129\/22079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 237203291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a factor of 1356011982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -29.83?\nAnswer: -2.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 + 12*f**2 + 8*f\/3 - 48.\nAnswer: -2*(f - 18)*(f - 2)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**3 - 22*j + 24*j + 2*j**3 + 2*j**3 as q*j**3 + f*j + o + t*j**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 512, 508, 502, 494, 484?\n\"Answer: -v**2 - v + 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.28? (a) 1\/2 (b) 0.3 (c) -4111 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 79 - 9?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -3*q + 40*q**4 + 24*q**4 + 3*q + q**3 + 6*q**2 - 65*q**4 = 0?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/((-264)\/84) - 130\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2187 - 2187. Which is the nearest to -1? (a) 5 (b) g (c) 3\/8 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 91 - 84 = 3*h, 0 = -3*h + 4*m - 13. Sort h, 1469, 4, -4 in increasing order.\nAnswer: -4, h, 4, 1469","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 4\/15*m - 1 + 1\/5*m**2 + 2\/45*m**3. Solve u(b) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328267426 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 51669*k + 206680. Give y(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6 = -z. Suppose 4*j - z - 9 = 0. Which is the third biggest value? (a) -5 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 = 2*g. Suppose g*i + 40 = 4*t, 5*i = t - 4*t + 22. Suppose 5*c - 57 = -x + 70, -4*c = -x - 107. What is the remainder when c is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x. Let v be d(0). Suppose n - u = 19 + 44, 3*n + 5*u - 205 = v. What is the remainder when n is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -459 + 467. Suppose d - 21 = -0*d. Calculate the remainder when d is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3878*g**3 + 4958*g**2 + 1072*g - 8 = 0?\nAnswer: -1, -2\/7, 2\/277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/587535 and 33\/3564379?\nAnswer: 53465685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 910 - 916 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + q**2 - 2*q + 5. Suppose -5*p + 0*p - 2 = v, 3*v + 6 = 0. Give x(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1510 times -4597\nAnswer: 6941470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2937888 - 1212*h - 1\/8*h**2 = 0.\nAnswer: -4848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwawuuwwwaww. What is prob of sequence waua?\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 71956345.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 466, 464, 460, 454?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 1. Let w be z(6). Suppose -6*l - 13 - 11 = 0. Sort 3, w, l.\nAnswer: w, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -38. Calculate the lowest common multiple of 1 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(15\/10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/(-2))\/(2\/16). Suppose 4*o - 4*s + 7*s = 40, -4*o - 4*s + t = 0. Let h(i) = 0*i - i**2 - o - 2*i - 6*i. Let w(b) = b + 1. What is -h(f) - 6*w(f)?\nAnswer: f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3*1.527172.\nAnswer: -3.5124956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72, -109, -176, -279, -424, -617?\n\"Answer: -c**3 - 9*c**2 - 3*c - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 123991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5250 + 9643. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u**2 - 2*u**2)*(16*u - 112*u - 21*u - 62*u).\nAnswer: 537*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((-2)\/(-1) - 2)\/2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2\/4 + 10*t + 35\/4.\nAnswer: 5*(t + 1)*(t + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 754198318 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: Find the third derivative of w**2*z**3 - 3*w**2*z + w + 65074*z**5 - 50*z**2 wrt z.\nAnswer: 6*w**2 + 3904440*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -551114 + 551118.000048. Let r = -3.91 + -0.09. Let n = r + b. Round n to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.3 and -436.\nAnswer: -11030.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 14281, -3, -31, -13\/3, 0 in increasing order.\nAnswer: -31, -13\/3, -3, 0, 14281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3899685 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16902029*g**3 - 13217554*g**2 wrt g?\nAnswer: 101412174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 5) + 33 + -18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 14 = s. Differentiate -a**4 - 14*a + s*a + 6*a**4 - 10 wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 40*b + 27. Suppose -3*r = -7*r - 2*f + 54, 4*r = -f + 49. Calculate the remainder when m(r) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 12:37 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540736 and 38056.\nAnswer: 36229312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -b + 5, 4*w + 4*b + 7 = 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4181b + -69?\nAnswer: -41887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -120222001002 (base 3) to base 2\nAnswer: -1001100101101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 225 = 5*l, m - 61 = -4*l - 3. Suppose 8*s + m = s. Let q(g) = -g - 4. Let p be q(s). Calculate the highest common factor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**3 + 124*b**2 + 27*b + 1773. What is w(-62)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/24 + (-123)\/(-12). Suppose -5*c + k = -5. Let b = -189 - -192. What is the greatest common divisor of c and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3360 and 1760?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -324*i*o**2 - i*o - 150*o wrt o?\nAnswer: -648*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000101 + -101?\nAnswer: -101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0132430439 to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8119, 8130, 8147, 8170, 8199, 8234, 8275?\n\"Answer: 3*w**2 + 2*w + 8114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 66*o + 31005 = 0. Calculate the lowest common multiple of 169 and o.\nAnswer: 8957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/(8\/(-180)). Suppose 5*y = 2*j + x, -y = j + 3*y - 12. Let m(a) = a**3 + a**2 + a + 20. What is the tens digit of m(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (3 - -25 - 6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.4 - -11. Let c = r + 3.8. What is the second biggest value in -4, -0.19, c?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + 0.2. Let f be 33\/63 - (-4)\/(-6). What is the nearest to y in f, -3\/7, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 3, j: 1, h: 1}. What is prob of picking 1 j and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875839 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9530 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.11 - -3.89. Which is the closest to -2? (a) -0.5 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 + 68 = 8*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -63 - 82. Calculate the remainder when 36 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-74)\/(-6) + 3\/(-9). Solve -u = -5*f + 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 10 = -11*q. Is 11 a factor of (3\/(-6))\/(q\/100)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2868*f + 43027. Determine b(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = g + 2*g. Let u be 26\/2*(-6 + (12 - 5)). Let x = u + 5. What is the remainder when g is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t - 2*t - 3*t)*(4 + t**2 + 4 + 2) - t**3 + 2*t**3 + t**3 + (2*t + t - 2*t)*(-5 + t**2 + 5).\nAnswer: 5*t**3 + 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t + 5*t)*(2 - 4 + 4)*(-3440 - 3545 + 7098).\nAnswer: 1356*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 214?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a03 - -49?\nAnswer: 4a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4476*i**4 - 2*i**3 - 8267*i wrt i.\nAnswer: -53712*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.966 and -0.1.\nAnswer: 3.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 9. Let w be (0\/f)\/2 + 227. Suppose -3*m - 2*g + 4*g = -w, 3*g - 410 = -5*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 4*q = 3*m - 9, m - 3 = 5*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 a factor of 124580727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -6. Let m be -2*1*(-1)\/x. Find g, given that 0*g - 1\/3*g**2 + 1\/3*g**3 - m*g**5 + 0 + 1\/3*g**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 + 1 - 1 + 5*v**2 - v. Let s(t) = 6*t**2 - 10*t. Let q = -5 + 6. Let d(b) = 9*b**2 - 1. Let u be d(q). Give u*z(o) - s(o).\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15189520 divided by -2098?\nAnswer: -7240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2522*g + 2535*g - 5103*g = -753 - 167 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p - 5. Let k(l) = -l. Let n(q) = -h(q) - 6*k(q). Let y be n(1). Solve 4*b + y = 5*i + 24, -4*b + 8 = -3*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 282680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -6. Suppose -t = -0*c - 2*c. Suppose 5*f - 10 = -3*h, 0 = c*h - h + 3*f - 7. Solve b = h*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 375*b**2 + 482*b**2 - 5*b + 2254*b**2 + 5*b as z + f*b**2 + p*b and give f.\nAnswer: 3111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(27) + 1 + -3)**2 + (1*(4 + (sqrt(363) - (2*sqrt(363) + sqrt(363)))))**2.\nAnswer: -182*sqrt(3) + 1496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 18*f - 8892 = 0. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c - 2*u = 18, -u = 5*c + 37. Let i = -11 - c. Let k(o) = -25*o - 1. Let f be k(i). Calculate the greatest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 + 147. Let p be 1*(-6 - -9)*d\/(-3). Calculate the greatest common divisor of 33 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179 (base 11) in base 6?\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w. Let v(o) = 16*o - 362. Give f(v(j)).\nAnswer: -16*j + 362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.400477 rounded to 2 decimal places?\nAnswer: 44.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 6, 9, 4\/3, 1, -82\/3, -5 in decreasing order.\nAnswer: 9, 6, 4\/3, 1, 0.7, -5, -82\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 799*c**3 + 2*c**2 - 2*c + 2. Let s(g) = g**3 + g**2 - g + 1. Determine -2*s(l) + v(l).\nAnswer: 797*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540113051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 51150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(66)\/sqrt(2))\/(sqrt(3) + sqrt(192)).\nAnswer: 2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7636 and -3.\nAnswer: 8.2908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.4 - 32.39817. Round i to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4312301440 (base 5) in base 10?\nAnswer: 9103370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 871, 3487, 7851, 13963?\n\"Answer: 874*f**2 - 6*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4\/2 + 1039*v**3\/2 + 357027*v**2\/2 + 39585325*v\/2 - 170034196 = 0.\nAnswer: -349, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 81, 192, 349, 552, 801?\nAnswer: 1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -3. Let k = 0.23 - -0.17. What is the closest to 0 in i, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*2 + sqrt(136))\/sqrt(8) - (sqrt(17) + -1)*2) + (-1 + (sqrt(17) + 0)**2)*4 + 4.\nAnswer: sqrt(17) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 2. Suppose 2*x - 3*a + 19 = 0, 3*x = -5*a - 16 - 3. Let u = x + 10. Determine q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 times -6734\nAnswer: 585858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (1 - -2 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 86. Let b(v) be the third derivative of -v**5\/60 + 4*v**2 + 31*v + 3. Give b(f(o)).\nAnswer: -o**2 - 172*o - 7396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -14*q. Let x(v) = 74*v**2 - 1397. What is x(z(n))?\nAnswer: 14504*n**2 - 1397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015 divided by 58?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-2))\/((-1)\/3). Suppose -a*u = -26 - 4. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o - 1. Suppose f = 2*f - 1. Suppose -7*k - 4 = -5*k. Let n(i) = -2. What is f*n(l) + k*a(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 12:00 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2.7419168 days?\nAnswer: 0.3917024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49c91 (base 13) to base 15.\nAnswer: 2a528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 5*o + 26. What is the tens digit of x(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 2387.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (17 + -17 - (-32 - 0))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -7*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.97954 minutes in milliseconds?\nAnswer: 1678772.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 20*q + 59. Suppose -49*b + 50*b - 17 = 0. Let u be f(b). Solve u*o - 10*o - 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -86. Let u be (-14)\/(-105) - (-13)\/l. Let t = 11\/2 + -5. Which is the closest to t? (a) -6\/5 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1752 divide 2405820750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154 (base 13) to base 14.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(1372) - sqrt(1372))\/(sqrt(4) + (sqrt(256) - sqrt(256)*1 - sqrt(256))).\nAnswer: 5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*i*i**(1\/5)*i**6*i**5*i*i*i**(-6) assuming i is positive.\nAnswer: i**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j**(1\/2))\/(j\/j**(2\/11)*j**4\/j)*((j**1*j)\/j*j**1*j)\/(j**(-2\/13)\/(j**(1\/2)\/j)) assuming j is positive.\nAnswer: j**(-95\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11\/2, -14, 1\/5, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 446 + 50. Let b be (4\/12)\/((-3)\/45). Let c = 14 + b. Calculate the highest common factor of c and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 468 (b) 3585 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 0*p - 1\/24*p**4 + 0*p**3 + 0 + 0*p**5 + 2*p**2 - 1\/120*p**6. Find the second derivative of r(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 2*f**2 + 33*f + 8. What is the remainder when 24 is divided by n(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - n + 10. Suppose -4 = -5*a + 3*a - 2*b, 0 = 3*a - 2*b - 16. Suppose 5*p = 2*c + a, -1 = 4*p - 2*c - 5. Does 10 divide q(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10548, -10551, -10556, -10563, -10572?\n\"Answer: -y**2 - 10547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*x - 3. Let j be 22\/(-198) - 259\/(-63). Solve -1 = x*h - v, j*h - 2*v = 2*v - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = u - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(68) + (-1*(sqrt(68)*2 - sqrt(68)) - sqrt(68)))*1)\/(-2*sqrt(256)) + 0.\nAnswer: -1 + sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(10) + sqrt(110)\/(sqrt(11) + sqrt(44)\/sqrt(4))) - sqrt(60)\/(sqrt(192)*1)) + -2.\nAnswer: -2 + 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17693 < -17693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1306*p - d + 6 = 1307*p, -2*p + 2*d - 16 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*f + 0*f**3 - 2*f**3 + 213*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/30 - k**4\/12 - k**3\/3 - 10*k**2. Let g be j(2). Solve -3*s = g*z - 1, z - 4*s + 32 = -4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -12*v**3 - 6*v**2 - 8*v - 6. Let m(f) = 2*f - 656308*f**3 - 11*f + 656297*f**3 - 7*f**2 - 7. Determine 6*m(b) - 7*q(b).\nAnswer: 18*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 14, 4 in decreasing order.\nAnswer: 14, 4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -3. Let o be (y\/(-16))\/1*-2. Let v be (-12)\/4 + 2*1. Which is bigger: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 5*k - 6. Determine z(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1074636 (base 8) in base 14?\nAnswer: -78c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(68) + sqrt(17))*-3 - (-1 + sqrt(153) + sqrt(17) + sqrt(153) + 3))**2.\nAnswer: 244*sqrt(17) + 63261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = n + 130, -280 + 11 = -2*j + 5*n. Calculate the remainder when 2918 is divided by j.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f**(1\/3)\/f)\/f*f*f)\/f**(8\/3))\/(f*f**2*f)**(-3\/2) assuming f is positive.\nAnswer: f**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4bb97c6 - 7?\nAnswer: -4bb97cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -336*i + 0 + 0 + 230*i to y*i + x and give y.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -11, -17?\n\"Answer: -6*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -930620 divided by 62?\nAnswer: -15010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 6*h**2 + 2*h - 6. Let u be q(6). Suppose 0 = -2*o + l + 7, 0 = 3*l + 5 + 4. Solve 4 = -o*d - u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 7*q**2 - 4*q - 12. Let y be n(-7). Which is the third smallest value? (a) -3 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001458 to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from ttstswrrsrrsrst?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 + 11*b + 310. Let h be l(15). Calculate the greatest common divisor of 40 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/15, -109.1, 32, -0.8 in ascending order.\nAnswer: -109.1, -0.8, -1\/15, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 44 - 91)*(-65*f - 63*f + 19 + 129*f - 3*f**2).\nAnswer: 231*f**2 - 77*f - 1463","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/9*(2 - -4). Suppose 2*k = 10, h*q + 3*k - 236 = 7. Calculate the remainder when 8*(-4)\/((-48)\/q) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 + -3.85. Let o = -20.05 + m. Let z = o + 18. What is the nearest to z in -3\/8, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 - (124 - 128).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 13*c - 7. Let a(t) = -11*t + 6. Let u(v) = -7*a(v) - 6*m(v). Calculate u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61868.\nAnswer: 2, 15467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 39827.92 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18*2\/(-9) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)*3*-2 - sqrt(560)*-2)\/(-2*-1*sqrt(245)*-4).\nAnswer: -sqrt(7)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, w: 15}. Give prob of picking 2 u and 2 w.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuueieiuuuueei. What is prob of sequence ieii?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -0*b - 3*b - 5*d, -5*d + 15 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 124311101 (base 6) in base 7?\nAnswer: 26555512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + m = 1024, -b + 3*m - 62 = 194. Let q = b + 596. Calculate the highest common factor of q and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57665410.\nAnswer: 2, 5, 11, 524231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -0.23, -2.878?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -38, -58, -106, -194, -334?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 9:45 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*p**3 + 116011*p - 8491177 wrt p.\nAnswer: 135*p**2 + 116011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 21. Let h(o) = o**2 + 9*o + 83. Determine -9*f(b) + 2*h(b).\nAnswer: 2*b**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 3)*(26 + 1 - 16 + 3*q).\nAnswer: -12*q - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*c + 6, 2*n + c + c + 4 = 0. Calculate the remainder when 42 is divided by n\/(-11) - 480\/(-22).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1009*v**2 + 3315*v**3 - 1932*v**3 - 10554*v**2 + 2293*v**3 wrt v.\nAnswer: 22056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4503253142.\nAnswer: 2, 61, 269, 137219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 2:29 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -2 - (14 - 1 - -9 - 0).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -18. Let h = q - 14. Which is the third biggest value? (a) h (b) -6 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -23. Let m be t + (0 - (-8)\/2). Let z = m - 16. Solve z*r = -5*x + 14, 3*r - 1 = -4*x - 2*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -2)*18\/4. Suppose 0*a + a = -z. Let w = a - -16. Is w at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268166.6 kilograms to grams.\nAnswer: 268166600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 299 = v - 8*z, 3*z - 294 = -v. Calculate the remainder when v is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 3090.\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 3:45 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -108, -115, -124, -135?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)\/l*l*l**(-6))\/((l\/(l\/(l*l**8)*l))\/(l\/(l**(2\/5)*l)))*(l**(-2\/3))**(3\/4)\/((l\/(l*l\/l**(-8)))\/(l*l*l*(l\/l**(2\/11)*l)\/l)) assuming l is positive.\nAnswer: l**(-1383\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(63 - 53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 0.3507.\nAnswer: 0.010521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5 = 5*g, g - 4*g = 2*z - 2 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*o - 4 = 709*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 10.20167 years?\nAnswer: 0.1020167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*w - 16 = 0, 3 = -3*i - 3*w - 9. Let q(s) = -s**2 + s. Let p be q(i). Solve p*a - 5*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmcmmcmmccmcm. What is prob of picking 3 c?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b\/b**(-2\/3))\/b*b**(-2\/21)*b**(-8)*b*b**(1\/4) assuming b is positive.\nAnswer: b**(-145\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1749 and 477?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -37473, -75374, -113303, -151266, -189269, -227318, -265419, -303578?\n\"Answer: -z**3 - 8*z**2 - 37870*z + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8512377*s**3 - 15895558*s**2.\nAnswer: -51074262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021357 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**6\/(b**(-8)*b)*(b*b**(3\/4)*b)\/(b*b**(-1)*b*b*b) assuming b is positive.\nAnswer: b**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, l: 1, o: 1, j: 1, z: 1, w: 3}. What is prob of sequence jt?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, s: 3, r: 9}. What is prob of sequence rr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4287\/7 - 612. Suppose -2*v = -4*d + 2*d, -2 = -2*d + 4*v. What is the nearest to d in 3, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 10. Let o be q(-8). Let c = 30 + o. Calculate the lowest common multiple of c and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 525 and 85?\nAnswer: 8925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.68 - 0.08. Let s = x + -2.6. Sort 0.1, s, -5.\nAnswer: -5, s, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3965949134 - -0.29?\nAnswer: 3965949134.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 4, f: 1, i: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -16470, -32595, -48722, -64851, -80982?\n\"Answer: -g**2 - 16122*g - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -53043 equal to -53043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1743 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -336 + y - 39 + 377 + 2*y - 175*y**3 to v*y + w + u*y**2 + f*y**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a**2 - 218*a + 51. Let h be g(24). Solve -2*x - 32 = -7*x + 4*o, h*x + 4*o = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -4\/3, -1\/6, -2, -5, -556\/53?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 18*x + 293. Give l(-31).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -56, -84, -112, -140, -168?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -1572*r**5\/5 - 4*r**3\/3 - 28*r - 154. Find the third derivative of l(x) wrt x.\nAnswer: -37728*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12101 - 11221?\nAnswer: -101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174924 and 24252.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (497\/213)\/((-1)\/3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -241430*y**3 + 3*y**2 - 33*y + 219 wrt y?\nAnswer: -1448580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 + 85.9. Let i = -245.3 - f. Round i to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9 + 55*r - 53*r)*(2 - 2 - 2).\nAnswer: -4*r - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(-33)*(0 + (-18)\/(-105))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) 2706 (b) 2.63 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*y**5 - 146*y**2 wrt y?\nAnswer: -1500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 0.05138?\nAnswer: 0.14862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -578 + 593 + (-144)\/10\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 95 = 3*d. Let f be 44\/10 - (-2)\/(-5). Suppose -u + f*u = d. What is the highest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (3 + 44\/(-8)). Let i(v) = -v**3 - 3*v**2 + v + 3. Let j be i(-3). Suppose 0*o - 5*o - 10 = j. Which is the closest to o? (a) 0.4 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 52.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 + -151. Let m(h) = h - 6. Let a be m(6). Solve -4*s + n = -a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(16)\/sqrt(2)) + sqrt(7) + (-2*sqrt(21))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**3 - 3*k + 2 - 4 + 3*k as b*k**3 + m + h*k + x*k**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - f = -0*u + 683, 231 = u + 3*f. Let n = 471 - u. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = j - 50 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2*b - 30 = 3*b, -2*b = q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89957 and 27832.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 357048 divided by -3306.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = b + b - 4337, -2*b + 2*f = -4316. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7510 divided by -909.\nAnswer: -7510\/909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v - 2. Let b be k(-5). Suppose -b + 42 = 3*t. Solve t = 5*n - n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**3 - 6*w**2 - 2*w + 7. Does 24 divide q(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*b*g**3*j**2 - 61*b*g**3*j - 15*b*g*j - g**4*j + g**2*j - 2*g*j**2 wrt g.\nAnswer: 270*b*j**2 - 366*b*j - 24*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 50. Let w = -1 - -1.5. Which is the nearest to 0? (a) w (b) z (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 636 and 20952?\nAnswer: 1110456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3460*g**2 - 542?\nAnswer: -6920*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8090 + -4191. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10a23d51 - 1?\nAnswer: -10a23d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3 + 14\/(-3). Let g = -1436 + 1439. Sort o, -3, g, 7 in decreasing order.\nAnswer: 7, g, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 8\/6467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)*j**(-4\/7))**15\/(j**(2\/7)\/(j**7\/j*j*j))**17 assuming j is positive.\nAnswer: j**(788\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l + 6. Let s(x) = x - 1. Let q(u) = -10*u + 28. Let f be q(4). Determine f*s(k) - 2*h(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 6. Let u(x) = 709*x - 19. Let i(c) = 185*c - 5. Let f(y) = 23*i(y) - 6*u(y). What is -b(r) - 5*f(r)?\nAnswer: -3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.37, 0.02, -1, 4, -0.02186?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 0. Let c = -38 - -113\/3. What is the biggest value in g, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -103.02 + 106. Round w to one decimal place.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*w - 552 = 4*p, 0 = -3*w + p - 821. Let d = -146 - w. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23786936659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5325979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 67388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1)*(7 + 78\/(-9))*3\/(-8).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1526*d**3 + 15816*d - 7907*d - 7909*d.\nAnswer: -1526*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -14 + (28 - 22 - -26)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 859\/514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(2*z - 3*z + 4*z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3360 + 18180. Does 138 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24923, -100469, -226365, -402599, -629159, -906033, -1233209?\n\"Answer: 2*z**3 - 25187*z**2 + z + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*h = -95*h - 10. Suppose h*u + 4 - 14 = 0. Let l(d) = -d**2 + 12*d - 5. Let b be l(12). Sort b, u, 0.\nAnswer: b, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45823 - -77329. List the prime factors of f.\nAnswer: 2, 3, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -35239 from -0.6.\nAnswer: 35238.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7437 + 6003 = 30*h. Suppose 0 = -4*u - 2*y + h, -5*y + 2*y = -u + 98. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v - 3*v - 5*v**2 + 7*v - 5*v + 25. Let x(s) = 4*s**2 + 4*s - 24. Give -5*p(r) - 6*x(r).\nAnswer: r**2 + r + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 192 + 30. What is the highest common factor of s and 4107?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.1 + 18. Let i = 0.6 + 1.4. Let h = i - x. What is the closest to -1\/2 in 2\/5, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -30. Differentiate -l*p**2 - 3 + 16*p**2 - 4 wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 234*n + 675.\nAnswer: 3*(n + 3)*(n + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 20*i**2 - 108*i + 3372. Calculate the remainder when b(29) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 8330942?\nAnswer: -8330937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 divided by -119127?\nAnswer: -36\/39709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -1.44069, -745, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 56 = 6*w. Let q be (-2)\/(-7) - (-11101)\/w. Let u = -422 + q. What is the common denominator of 47 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-29 + 142 + -51).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + (-40 - (58 - -25))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, 1\/27, -0.5, -2\/5?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -205, -313, -435, -577, -745, -945?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (sqrt(612)*-2 - sqrt(612)) + -3)**2 + -1.\nAnswer: 72*sqrt(17) + 2456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-54644)\/6)\/(-1) + (-6)\/(-9). Let z = -4573 + t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Let u(t) = -215*t + 1. Give u(v(q)).\nAnswer: -430*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007203 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-13))\/(r**(-15)*r)*r**13\/r*r\/(r**(-1\/9)*r) assuming r is positive.\nAnswer: r**(361\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1705 or -1?\nAnswer: 2\/1705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -257634 (base 9) to base 8.\nAnswer: -461553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**3 + 34*b**2 - 9*b - 12. Let f(g) = g**3 + 9*g**2 - 2*g - 3. Give 2*d(s) - 9*f(s).\nAnswer: -s**3 - 13*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 201*j**2 - 5420*j + 53. Give z(-32).\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44443 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2806 is divided by 57.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6033190 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 3:55 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m + 18. Let n be (-5)\/((-20)\/8) + 1. Let k(o) = -5*o + 18. Let i(y) = n*k(y) - 2*q(y). Differentiate i(a) with respect to a.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.52 + -0.5. Let x = j + -0.14. Let q = 1.12 + x. Which is bigger: q or 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 27*r**2 + 40*r + 15. What are the prime factors of z(16)?\nAnswer: 7, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001697238 rounded to seven dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + -5 + (4 - 8). Let m = 46 + -45.674. Let y = 0.45 - m. Is h greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*o - 6. Suppose -5*n = o*c - 14, 3*c - 18 = -4*n + n. What is the least common multiple of 20 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897.2 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 3. Let q(i) = -i - 11. Let r(y) = 2*y + 12. Let v(s) = 4*q(s) + 5*r(s). Let j = -59 + 81. Determine j*c(d) - 4*v(d).\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/2, -1277.5, 36 in decreasing order.\nAnswer: 36, 3\/2, 1, -1277.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 5*n - 9, -4*u + 21 = 38*n - 43*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/238 and -99\/10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3267 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 37\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 65645173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 12. Let j(n) = -3*n + 42. Let h be j(13). Put 1, -5, q, h in ascending order.\nAnswer: -5, q, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1417 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*w**4 - 375*w**4 - 21*w - 105*w + 26*w - 104*w wrt w?\nAnswer: -4680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 699268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 0*u + 0*u**3 - 5\/12*u**5 + 14*u**2 + 1\/24*u**4 + 0. What is the second derivative of x(f) wrt f?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-12)*v*v\/(v**(2\/83)*v)*v)**4 assuming v is positive.\nAnswer: v**(-2996\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0579 + 128.9421. Put 1\/3, -4, t in ascending order.\nAnswer: -4, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**3\/10 - 3239*a**2\/10 - 29124*a + 3240.\nAnswer: -(a + 180)**2*(9*a - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y = -3*v + 72, 2*v = 5*y + 59. Suppose 0*d + v = 2*d. Solve d = 4*i - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52.525 - -217309.475. Let n = -217360.89977 + j. Let l = n - 1.1. Round l to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4119277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180 - 170. Suppose 2*l = 2*a - 128, -k*a + 134 = -8*a + 4*l. Let d be 11 - -2 - (0 - 0). What is the highest common divisor of a and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4*(-200)\/(-150)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211076 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, a: 1, y: 3, n: 2, f: 4, i: 2}. What is prob of picking 1 t and 1 n?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*w - 453 + 282 = -289 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence puu when three letters picked without replacement from uuuupuuuupuuupuu?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 70.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185705?\nAnswer: 5, 13, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1029905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*o = 6*o - 28 + 550 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/650*-4*(-95)\/57?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 275755*q - 1930285. Determine b(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4904 = 1280*f + 14296 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 55785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4))**22*(s**1*s)**(4\/7) assuming s is positive.\nAnswer: s**(-61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6\/5))\/h*h*h**1)\/(h*h**(-2\/5)\/h*h)**(2\/41)*(h**1)**(-39)*h**(1\/5)*((h*(h**(2\/3)\/h*h)\/h)\/h)\/h assuming h is positive.\nAnswer: h**(-24208\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, -5, 3, 4.448, -2?\nAnswer: 4.448","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21102002 (base 3) in base 8?\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, -2, -4, -1\/4, 3, -9, -22.\nAnswer: -22, -9, -4, -2, -1\/4, 4\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -84, -89, -94?\n\"Answer: -5*k - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 13.359555, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -4, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60\/9 + (-2)\/3. Suppose -w = -4*k + 6. Solve 0 = k*q - 8 + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/(q\/q**(-5\/6)*q))\/q)**(-1\/5)*(q\/((q*q**(-16)\/q)\/q))\/(q**(1\/3)\/q) assuming q is positive.\nAnswer: q**(571\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (0 + -2) - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 196 (b) 1\/4 (c) 4\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3774943 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2431*i = -2632*i + 5025. Let a = 1.2 - 11.2. Is a less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 432 + 0?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/248 and -145\/48.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (381 - 1036 + 147 + 312)*(-3*z + 5*z - z).\nAnswer: -196*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 7*k + 7. Let d be s(5). Let i = -17 + 6. Let m = i + 10. What is the third biggest value in m, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.19 - -14.11. Let b = c + -15. Is b bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 2*d + 7. Let q be (-4)\/(-2) + 1 + -2 + 4. Let s be w(q). Let c be ((-2)\/(-91))\/(16\/s). Is 1 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4089921, 8179821, 12269721, 16359621?\n\"Answer: 4089900*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -10*u + 490. Suppose -5*j - f + 10 = 0, 2*f + 2*f = 0. Suppose j*d + 3*d = u. Is 6 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 12*p. Let x(f) = 2*f**2 - 1160*f. Determine u(x(d)).\nAnswer: 24*d**2 - 13920*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.3, 2, 6, 0.358?\nAnswer: 0.358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, -1, -7925\/4, 4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + o = -8696, o + 5505 - 1155 = p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -5, 8 in decreasing order.\nAnswer: 8, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 86786140 divided by 1420?\nAnswer: 61117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32491398.\nAnswer: 2, 3, 5415233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - ((-7)\/2)\/(1\/4). Suppose 0 = d + 8 - i. Suppose -d*s + 755 = t, -6*s - 383 = -8*s + 5*t. What is the greatest common factor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*15\/(-350)*48\/18?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/((-208)\/(-130))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 - 1 = 0. Suppose -l + q = l. Solve 0*u = -l*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -12*s + 33*s**3 - 6 - 32*s**3 + 10*s**2 - 1. Let g be b(-11). Suppose g*l + 2*l = 126. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) -15\/52 (b) -7 (c) 1\/4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxdduiruduuuiixuu. What is prob of sequence ii?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 310329126 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.77 + 0.27. What is the third biggest value in r, 0.1, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - -1.97. Let u(s) = -s**3 + 7*s**2 - 2. Let k be u(7). Let o = -1 + k. Which is the closest to 1? (a) r (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12 - 11\/12) + (-7011)\/4180. Which is bigger: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**5\/50 - 8*x**4\/15 + 29*x**3\/15 - 14*x**2\/5 + 116*x + 251. Let k(u) be the first derivative of a(u). Factor k(t).\nAnswer: 2*(t - 14)*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 247bb3 (base 16) to base 9\nAnswer: 4443705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171*s**4 - 2*s**3 - 19937*s**2 + 1461*s - 6250 wrt s?\nAnswer: -2052*s**2 - 12*s - 39874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3120*z - 5. Let x be f(-5). Suppose 0 = 3*y - 1366 + x. Is y\/(-8) - 9\/(-72) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283930, -283928, -283926?\nAnswer: -283924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 153*g + 95*g - 138*g + 46*g**2.\nAnswer: 2*g*(23*g + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 17\/60*o**6 + 2\/5*o**5 + 1\/6*o**3 + 0 + 0*o - 267*o**2 + 0*o**4. Find the third derivative of y(v) wrt v.\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 31. Let o be d(14). Let b be 364\/18 - (-4 + (-190)\/o). Are 20 and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 1*(-4)\/4. Suppose 9 = q*h + 4*s - 7*s, 0 = -h + 4*s + 9. Calculate the highest common factor of 4 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -1\/827615721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -0.05886.\nAnswer: -4.05886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5267 + -5270. Let h(x) = x**2 + x + 1. Let c be h(-2). Put 0, c, -2, a in decreasing order.\nAnswer: c, 0, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k = -260*k - 1252 - 3263 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/81)\/(40\/48).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16072273 (base 8) to base 9.\nAnswer: -6858268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l - 2. Let k be j(-1). Suppose -3*z = 4*h - 156, 3*h + 170 = 3*z - k. Let y = z + -37. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, -5, -61, 4 in ascending order.\nAnswer: -61, -5, -2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 15. Let g = 71 + z. Suppose 4*y = g + 29. Calculate the smallest common multiple of y and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 58329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*z + 38*z + 2*z**3 - z**4 - 72*z + 1 to x*z + w + n*z**4 + g*z**3 + p*z**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2987 + 2982. Put z, -8, 1, 0 in decreasing order.\nAnswer: 1, 0, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 45, -0.3 in decreasing order.\nAnswer: 45, -0.3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-12) - (0 - (-41)\/(-2)). What is the greatest common factor of 140 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-2))\/(-5)*-4. Suppose -30 = 5*z + 4*u - 76, 0 = -h*z + 3*u. What is the least common multiple of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 718 = -3*j, -4*w + 388 + 342 = 3*j. Let g = w - 178. Let t(p) = -p**3 + 3*p**2 + 3*p - 4. Give t(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00068931 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (70 + -2 + 2 + 0 - 3) + (-123 - -120)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000052365079 rounded to 6 dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 3 + 3*m + 0*m + 0*m + 2*m - 4*m - 2*m - 3 + 3 + 2 - 2 - m + (-2 + 3 - 2)*(-m + 0*m + 3*m) + 2 - 2*m - 2 + 10 - 10 - 4*m.\nAnswer: -14*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 6*d - 242. Suppose -999 = d*c - 45746. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 6:08 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22775.09 grams to micrograms.\nAnswer: 22775090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zknnpkzpznz. What is prob of picking 2 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 0*r = -3*i + 35, 7*i - 8*i = 5 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126 + -130. Let z be 2*l\/20*(-20)\/(-12). Sort -2\/5, 1, z, -14.\nAnswer: -14, z, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -352 in -1, 5\/4, 2, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 97 and 122899?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/4 + 6628*j - 43930384 = 0 for j.\nAnswer: 13256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5146, -3\/203, -0.3?\nAnswer: -5146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 6. Suppose 2*u + 2*r + k*r = 6, 5*r = -5. Let p = 1.036 + -1.336. Put -4, p, u in descending order.\nAnswer: u, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(832) - (-2 + sqrt(832)*-1 + sqrt(832)) - (1*sqrt(832) + -5 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, l: 3}. Give prob of picking 3 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 9. Let z = b - -10. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 22, -5, -27\/19, 6?\nAnswer: -27\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101475536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.128662 + 0.13. What is p rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 2*v**2 - 17*v + 519. Calculate c(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2662 and 10406.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*q + 100 - 150 + 77 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10117194 divided by 138?\nAnswer: 73313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1098 divided by -42\nAnswer: -183\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.76*-3595.\nAnswer: -6327.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2 - 9. Factor -4*d**2 + d + 12 + 0*d + 0*d + l*d.\nAnswer: -4*(d - 3)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004545 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + 0.6. Let m = -364 - -364.243. Let t = -0.043 + m. Which is the closest to 4? (a) t (b) s (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-196)\/(-490))\/(3\/(-15)*1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 773 (b) 1\/2 (c) 0.141 (d) 3 (e) -1\/42 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -440.8 and 0.3.\nAnswer: -132.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1591 is divided by 315?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18450\/1722 - ((-24)\/(-2))\/1\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141348 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/(-33))\/(22\/(-297)*-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2842069 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5113664297 to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.68 - 1.9. Let n = -2.78 + s. Let y be -2*((-9)\/14)\/(-9). What is the nearest to -1 in n, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 11403404?\nAnswer: -11403412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010012 + 211211022?\nAnswer: 220221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15605808 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -26564850 divided by -11115\nAnswer: 2390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6*344\/12)\/(-2).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**3 - 4*u**2 + 2*u + 1. Let o be i(1). Suppose 2*n = 16 - 0. Let b be n\/2 - (2 + -1). Solve -b*l = -3*d + o*d - 9, -l - 3*d = -11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -4*u**5\/25 - 14*u**4\/5 - 20*u**3\/3 - 24*u**2\/5 - 954. Factor w(j).\nAnswer: -4*j*(j + 1)**2*(j + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 + 0.97. Suppose -4 = -3*w + z, 4*w + 0*z - z = 6. Do w and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -221*m. Let t(z) = 91*z - 2. Give a(t(b)).\nAnswer: -20111*b + 442","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1136232 centimeters in millimeters?\nAnswer: 1.136232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*n**3 - 113*n**3 + 177*n**3.\nAnswer: 230*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - -5*(sqrt(26)\/sqrt(2) + sqrt(13) - sqrt(13)))**2 + (sqrt(117)*-4 - sqrt(13)) + 3*(sqrt(13) + sqrt(52)\/sqrt(4))**2*-6)*-3.\nAnswer: 39*sqrt(13) + 1404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 3. Let y be j(0). Let d be y\/9*0\/(-1). Suppose 5*r + d = -15. What is the closest to 1 in -4\/7, r, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 266 = 3*s, 0*o = -5*o - 3*s + 284. Let x = -59 + o. Which is the second biggest value? (a) x (b) 0 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4211443 and 215876.\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 585547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -91527?\nAnswer: 5\/91527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56740 is divided by 420?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-48))\/((-2)\/(48\/(-2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*k - 20, 4*q = -k - k - 52. Let g = q + 38. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0 - -1 - 0. Let p be (-133)\/(-14) - m\/(-2). Suppose l + p = 2*h, -h = -5*l - 2 - 3. Let n(s) = s - 7. Give n(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 - 130 - 26*v**3.\nAnswer: -26*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*-1 - (sqrt(22) - (sqrt(3168)*-1 + sqrt(3168))))\/(5*(sqrt(55) - (sqrt(1980) + sqrt(1980)*-3))\/sqrt(5)).\nAnswer: -7*sqrt(2)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 226 + -2036\/9. Let z = 161.8 + -158.3. What is the fourth biggest value in c, z, 0.2, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 2*c - 2. Let b = 18 - 85. Let m = b - -72. Let n(w) = 2*w - 9*w - 6 + 10*w**2 - m*w**2. What is -7*k(d) + 2*n(d)?\nAnswer: -4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2349588?\nAnswer: 2, 3, 23, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 13\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3443 is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -17824967.\nAnswer: 1\/17824967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((2*sqrt(539) - sqrt(539)) + sqrt(539)))**2.\nAnswer: 53900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.19758 kilograms?\nAnswer: 197580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -40*l**2 + 20*l**2 + 18*l**2. Let c(k) = 10*k**2 + 4*k. What is c(v(g))?\nAnswer: 40*g**4 - 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, j: 3, g: 3, t: 1, a: 1, z: 4}. Give prob of picking 1 z and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 469405 and -2?\nAnswer: -938810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22338015*m**2 - 12*m + 3557881?\nAnswer: -44676030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 5*h - 13 = 0, -12*h - 6 = 2*d - h - 8*h - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-14)\/(-36)*14. Let l = -3098\/9 - -340. Let r = a - l. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)*f)\/f*f**(11\/7) assuming f is positive.\nAnswer: f**(62\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, v: 2, o: 7, x: 1}. Give prob of picking 1 o, 1 x, and 1 m.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76))\/sqrt(4) + sqrt(76)*5.\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (6 + 2)) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032349 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 7:31 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p - 10. Let z(g) = 4*g - 17. Let n(c) = -c + 4. Let k(m) = 9*n(m) + 2*z(m). Calculate 11*k(b) + 2*w(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9362208 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 27. Let s(d) be the first derivative of 3\/2*d**2 + 2\/3*d**3 - 3 + t*d. What is the second derivative of s(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 243\/21 - (-3 - -7) and (-2)\/9 - (-14)\/6.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*l**3 + 16*l**3 + 24*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 + 3*j**3 - 9*j**3 - 7*j**3 + 0*j**3 wrt j.\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -350\/13 or -4232?\nAnswer: -4232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 16 = -5*k, -k - 3*k - 4*s = -16. What is the second derivative of -o**2 - o + 3*o + k*o**2 wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t**1)\/t)*t*t*t\/(t\/(t\/(t\/(((t**(-10)\/t)\/t*t)\/t*t)))))**26 assuming t is positive.\nAnswer: t**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 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: What is the nearest to -20.51 in 11\/4, -0.4, 7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 78141*q - 5179. Is k(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from mkmssotmm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 + 4*o**3 - 4*o**3)*(-4*o - o + 6*o) - 150*o**5 + 17*o**2 + 306*o**5 - 153*o**5.\nAnswer: 4*o**5 + 17*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*j**3*n*w**2 - 13*j**3*n - 4*j**3 + 4*j**2*n*w**2 - w**2 + w wrt w?\nAnswer: 18*j**3*n + 8*j**2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -90990 divided by 2022?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b = -2*n + 66, 2*n - 71 = b. Solve -9*g = -n + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25221 by -445.\nAnswer: 25221\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 49*j**2 - 68*j - 4. Determine t(-23).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b\/(b\/((((b*b**(1\/5))\/b)\/b)\/b)))**(-15)*(b**(-2\/15)*b)\/b*b**(2\/11)*b*b**6*(b\/(b\/b**5))\/b assuming b is positive.\nAnswer: b**(-6097\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-3)*(-20)\/64\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175089042 divided by -87544521?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 + 1. Let l(i) = -17*i**2 + 65*i - 24. Let p(y) = l(y) - 4*u(y). What is the hundreds digit of p(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6489435467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-1))\/(1 - 2). Let x = j + 16. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2655.3 - 2650.3. Which is the biggest value? (a) 16 (b) 283 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1869722 or 0.1?\nAnswer: 1869722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 60*l - 15. Let p(a) = 5*a**2 - 156*a - 38. Let b(g) = 13*f(g) - 5*p(g). Let x(m) = -m - 6. Let j be x(-6). What is b(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 13*d**2 + 1. Let f(i) = i**3 - 10*i**2 + 10*i - 4. Let p be f(9). Suppose 0 = 5*y + 20, p*u - 3*y - 31 + 9 = 0. Is q(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -18*r**5\/5 - r**4\/12 - 133*r**2\/2 + 161*r. What is the derivative of w(a) wrt a?\nAnswer: -216*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(6\/(-2) + 1). Suppose o*j = -4*j. Suppose -4 = -2*n + 3*c - 12, 4*n - 4 = c. Solve j = x - n*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454*f**3 + 9538*f**2 - 84*f = 0. Calculate f.\nAnswer: 0, 2\/227, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(28*-3)*24\/(-15). Let k(u) be the second derivative of -2\/5*u**5 + 4\/3*u**3 - 2*u**2 + 0 + 0*u**4 + v*u**6 + 4*u. Suppose k(b) = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -266*5\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 e, and 1 g when four letters picked without replacement from eaeveaetaagaattgve?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 109\/2 smaller than 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095878 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6078)\/(-7091) - (594\/14)\/(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 72*y - 310.\nAnswer: -2*(y + 5)*(y + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205162363.\nAnswer: 7, 598141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 0 + 114\/5*c**2 + 3\/5*c**5 + 9*c + 6*c**4 + 96\/5*c**3 = 0?\nAnswer: -5, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-7) - 1) + 1005\/21. Let n = -50 + b. Let c be ((-24)\/(-9) + -1)\/(n\/(-6)). Solve 2*q = c*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 + -41. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5 - 1. Let o be 2*p\/2 - -152. Let x = o - 80. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -11. What is the units digit of 96\/(-18)*j\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28908 and 93148.\nAnswer: 838332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130174 - 0.031.\nAnswer: 130173.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**5\/15 + 218*y**4\/15 - 338*y**3\/5 - 538*y**2\/3 - 1456*y\/15 = 0.\nAnswer: -1, 0, 7, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 9:43 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*f, 4*w + 4*f + 3 = -1. Solve 5*z = -w*j + 29, -2*z - 3*z + 2*j + 21 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 26, 1, -6, -5, 3 in increasing order.\nAnswer: -6, -5, -2, 1, 3, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/40 and 35\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5 = 11. Solve 2*c - 7 = m, 4*m - w*c - 12 = -4*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -100852, -201707, -302562?\n\"Answer: -100855*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7780 divided by -1945?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 4*x - 9*x + 2*x + 1. Let k be f(-8). Let r be (-6)\/(-7) - (-3)\/k. Is 1 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 4 + 3*b - 5*b - 5*b - 12. Let x be v(8). Solve 2*z + 5*w = -3, -4*w + x*w = 5*z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2260 = 2*p + 3*p + 5*s, 5*s = 5*p - 2240. Let o = p - 448. Solve z = -o + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151083468 divided by -4413.\nAnswer: 34236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -31. Let g = d - 21.14. Let p = 152.1 + -152. Are p and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -25 - 19) + 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-492)\/42 - -12 - 12526\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + 0 + -2 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14170, 14165, 14160?\nAnswer: 14155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 18*i**3 + 513*i**2 + 2268*i + 2916.\nAnswer: -3*(i - 18)*(i + 3)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6 + 429*a**5 - 85*a**4 - 397805*a**2 wrt a.\nAnswer: 120*a**3 + 25740*a**2 - 2040*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595*z**2 + 609*z**2 - 1197*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 10*o - 2. Calculate the remainder when 180\/7 - 10\/(-35) is divided by j(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1833)\/(-12) - 2\/(-8). Calculate the greatest common divisor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by 199.\nAnswer: 51\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28926091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3977 + -3977.8319. Round x to 2 decimal places.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1953*x = 1947*x - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 145 = 235. Suppose -460 + x = -6*g. Calculate the remainder when g is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 2*n - 16. Let r = 7 - n. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from sssssssssssssssusss?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (2 - 5) + 3. What is the first derivative of -2 + 14*u**3 - 1 - 17*u**v wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cmm when three letters picked without replacement from {e: 2, m: 2, c: 8}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5*z = 13, -4*k + 5*k - 19 = 3*z. Suppose 3*d + 4*y + 101 = 0, 4*d - y - k*y + 145 = 0. Let n = 4 - d. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, g: 9}. What is prob of sequence gg?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = 96. Suppose 6*k = 2*k + p. Let j be (4 - k) + (-2 - -5). Is 1 != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -3552, 0.4, 5 in ascending order.\nAnswer: -3552, 0.4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -2, -1.\nAnswer: -27, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -14*q**2 + 8*q - 5. Let p be (-1)\/(-10)*4*-10. Let u(b) = -5*b**2 + 3*b - 2. Determine p*h(g) + 11*u(g).\nAnswer: g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r + 5 - 4 + 33*r - 1.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + x - 25. Let q be h(0). Let r = 29 + q. What is the derivative of -r*v - 11 + 3*v - v wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2630528*f**3 + 2281751 wrt f.\nAnswer: 7891584*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2161, -2152, -2129, -2086, -2017, -1916?\nAnswer: -1777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -10*q**2. Let u(l) = 6*l. Suppose 2*b + 0*b + 35 = 5*z, 4*b - 3*z = -35. Let n(c) = -c. Let t(j) = b*n(j) - u(j). Give t(y(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -7 - (-10 + (0 - -20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 26*h**3 + 119*h**2 - 581*h - 9. Let x be m(5). What is the greatest common factor of 99 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09006431813 to five dps.\nAnswer: -0.09006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - 6\/(-8). Let h = -63\/220 + 2\/55. Which is the nearest to n? (a) -0.2 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 4*i, -3*x + 5*x = i + 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**2 + 34*s + 18. Does 59 divide t(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 43*z**3 - 26*z - 93. List the prime factors of h(7).\nAnswer: 2, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2080 or -2052?\nAnswer: -2080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -5. Let d = 2 + m. Suppose 6 = f - d. Calculate the least common multiple of 10 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 3.33, -106?\nAnswer: 3.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2132 - 3033?\nAnswer: -11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-63.\nAnswer: -1890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = q, -3*n = n - q + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 16*b**2 + 20*b + 20. Let d(y) = y**2 + y + 1. Let u be (-10)\/(-45) + 364\/(-18). Let s(g) = u*d(g) + c(g). Let a(t) = -t. What is a(s(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 38981717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2 - 2, -5*g + 2*p = 67. Let t = g + 23. Solve -3*u + a = 2*u + 20, 0 = 5*u + a + t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -101?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -110*r - 768. Let w be c(-7). Let m(q) = -q**2 + 3*q - 1. Let o be m(4). Let v be (w\/36)\/(o\/(-10)). Is 1 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 12:58 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 10:07 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 12*c**2 + 11*c + 28. Let z be r(13). Suppose -5*j - 1 = -26. Let x be j + 4\/(-1) + 2. Solve z*g + g + x = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*y + y. Let v = 4 + y. Factor v - 8 + u - u**3.\nAnswer: -u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.3. Let o = 0.082 - -3.618. Let q = o + -4. Which is the closest to u? (a) 0.3 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007176521147 rounded to 7 decimal places?\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.7761676 seconds to hours.\nAnswer: 0.001604491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/5)*((b\/(b*b**9))\/b)\/b*b**(-4)*b*b**(-6\/5) assuming b is positive.\nAnswer: b**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q - 6. Suppose 78 - 58 = 4*m. Let c(r) = 2*r + 3. Calculate m*c(p) + 2*y(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27223, 54451, 81679?\n\"Answer: 27228*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1416 and 40532823.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18 + -12)*(-2)\/6. Let r be (-1)\/(1\/(v\/(-1))). Let y(g) = 2*g + 1. Let f(l) = -l. What is r*y(m) - 3*f(m)?\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/11 - 155*b**4\/11 + 5289*b**3\/11 - 10117*b**2\/11 + 4982*b\/11 = 0.\nAnswer: 0, 1, 47, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83478044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -52. What is the nearest to -0.1 in q, -2\/9, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62119864 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-21) + 2\/7. Let y be (s + -2 - -11) + 0. Let j = y + -5. Solve 0 = 5*q - 3*h - 0*h - 11, 5*q - 5*h = j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3375 - 3369 - ((0 - (-1 + 1)) + -3 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17332 and 2156?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**3\/6 + 24*g. Let y(z) be the first derivative of -5*z**2\/2 - 2. Give f(y(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -790 - -10272\/13. Which is the closest to 2\/11? (a) u (b) 5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605809549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/7 - 12*s**3\/7 - 18*s**2\/7 + 4*s.\nAnswer: 2*s*(s - 7)*(s - 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 0 + m - 3)*(4*m**2 - 2*m**2 - 4*m**2) to w*m**2 + f*m + b + q*m**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 215 in -8, 4, 2\/3379, 3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4150 = -4*x + 2534, -2*p = -3*x + 4456. Let b = p + 8977\/4. What is the common denominator of 39\/4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anunaeeunnun. What is prob of sequence ne?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/8 of a gram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03890047017 to 4 dps.\nAnswer: -0.0389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 92 + (-46 - -63)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**6)\/u*u)\/u*u)\/u)**47\/(u**16\/(u\/(u*(u\/(u*u\/(u\/(u\/u**(7\/5)))))\/u))) assuming u is positive.\nAnswer: u**(-1487\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.011402 meters in millimeters?\nAnswer: 6011.402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703222.\nAnswer: 2, 13, 17, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 25. Let t be b(-13). Let u = 48 - t. Let f be 952\/u + (-8)\/(-60). Which is bigger: f or 14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*i - 96. Let j be ((-8)\/i)\/(1\/6). Suppose 0 = j*x - 17 - 7. Calculate the greatest common factor of 20 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/21, 14.87, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)\/(a*(a\/(a\/(a\/a**(-4))))\/a))**(-15)\/((a**(-8)*a)\/(a\/a**(-6))*(a\/a**(-2\/9))\/a*a*a*a**1*a) assuming a is positive.\nAnswer: a**(673\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**4 + q**3\/2 + 3*q**2\/2 - 2049*q. Calculate v(2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 2:07 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 544931 or 544901?\nAnswer: 544901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of 1\/20*q**6 + 0 - 2*q**2 + 1\/12*q**4 + 1\/3*q**3 - 1\/6*q**5 + 0*q. Let i(x) = 0. Calculate x.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a + 75. Determine t(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -3*m + 4*w, -m = 4*m + 4*w + 106. Let t be 60\/(-14)*84\/m. Which is the third biggest value? (a) 3 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 32*x + 8. Let i be o(16). What is the second derivative of 61*z + 51*z + i*z**5 - 49*z**5 - 104*z wrt z?\nAnswer: -820*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:33 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/82 + (1 - 1 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihdccbccccidhchcdhh. Give prob of picking 1 b and 1 c.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/((-44)\/(-306)) - -2 and 2\/3 + (-4693)\/546.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3409 and 1048\/(-216)*-3 - (-1 + 10).\nAnswer: 30681","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -1. Suppose 0 = -p*s + 7*s + 28. Let i(f) = f + 2. What is the remainder when s is divided by i(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/3, 4, 0.04 in increasing order.\nAnswer: 0.04, 0.1, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 7 = -0*z - z, 4*z = 5*m + 43. Let y = -1441 - -1450. Calculate the remainder when z is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 5)*(-1 + 1 - 4)*(-1 + 4 + 1)*(-z**3 - z**3 + 0*z**3).\nAnswer: 64*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**5 - 34730*a**4 + 5363765*a**3 + 39246410*a**2 = 0.\nAnswer: -7097, -7, 0, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 1 + 1\/24*s**3 + 0*s**2 - 1\/48*s**4 - s. Let p(l) be the first derivative of r(l). Find d such that p(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1599 divide 42750172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2068*x**5 - 4*x**2 - 39*x wrt x?\nAnswer: -124080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + 11. Suppose -53 = -2*h - 45. Calculate the highest common divisor of g and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*r**4*x + 1795*r**2*x - 31373*x - 2 with respect to r.\nAnswer: 24*r**3*x + 3590*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 6)*(-2 + 3). Let f(p) be the first derivative of -8\/55*p**5 + 2 + 3\/11*p**4 + 1\/33*p**6 - 8\/33*p**3 + n*p + 1\/11*p**2. What is d in f(d) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/2 - 9*z**3\/2 - 7*z**2\/2 + 9*z\/2 + 4.\nAnswer: -(z - 1)*(z + 1)**2*(z + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -67 * 0.11\nAnswer: -7.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3 = 4*g, -g - b - 115 = -112. Let r = -269\/12 - -42511\/1896. Let y = 2477\/10744 + r. Which is smaller: g or y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:50 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from xnn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3*b**4 - 12*b**2 + 2*b**3 + 825*b - 819*b + 8*b**3 = 0. Calculate b.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8*o - 5*g + 91 = 0, -3*o = -g - 79. Suppose 5*y + 5*c = 3*c + 79, -4*y - 5*c + 70 = 0. What is the remainder when o is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z**5\/4 - 173*z**4\/4 - 418*z**3 + 563*z**2 - 104*z = 0. What is z?\nAnswer: -8, 0, 2\/9, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 102021101111212?\nAnswer: 102021101111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*(-40)\/2100*(-3)\/(-4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 559*s**3 + s**2 - 12*s + 20. Let u be z(10). What is u rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = 6. Suppose -4*r = -5*t - 49, 5 = -r + 6*r + 5*t. Let x be 2\/(r\/(-5))*a. Solve x*n = -14 - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 6)*-3*1. Let b(h) = h**3 - 15*h**2 - 2. Let i be b(j). Let z be (12\/(-4))\/(-1) - i. What is the highest common factor of z and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**3 + 11*z**3 + 0*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62016698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 152394828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**3 + 8*h**3 - 2 + 7 - 10*h**3.\nAnswer: 4*h**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 815, 1333, 1851?\n\"Answer: 518*i + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.4 - -2.4. What is the nearest to g in -0.5, -2\/9, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1 (c) -3\/250 (d) -3 (e) 1.4 (f) 2.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -540, -544, -552, -564?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -792 divided by -44\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -36, -132, -318, -624, -1080, -1716, -2562?\nAnswer: -3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbvtbwgl. What is prob of sequence bb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 (base 7) in base 6?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (25\/15)\/(1\/39). Suppose -4*d + 19 + h = 0. Solve -5*c + 4 + d = -j, -4*j - 5*c = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -1516\nAnswer: -1\/758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 7. Let d(a) = -3*a + 32. Let o be d(13). Let z(h) = -4*h**2 - 6*h - 10. Let v(x) = -3*x**2 - 4*x - 7. Let n(w) = o*v(w) + 5*z(w). What is n(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c*i - 40773*c*t + 317534*i*t - 4*i - 29*t wrt i.\nAnswer: -4*c + 317534*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtt when three letters picked without replacement from {t: 6, g: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(225\/(-36)) + (-307598)\/(-10).\nAnswer: 3, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 3:40 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5) - (-219)\/15. Let b(i) = -i**2 + 8*i + 155. Let t be b(17). Suppose -n + s = t*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.166*-819\nAnswer: 954.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100010111001011 - 11010010?\nAnswer: -10010100011010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-3 + 0 - (1 - 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 8433 = 4*a - 8441, d = -57*a + 114 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 3873.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11534961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2*(14\/(-42))\/(-14*2\/12)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 times 5?\nAnswer: -2210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -34.0685.\nAnswer: -33.9685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(-9*p + 25*p - 12*p)*(-p + 0*p - p) to v + r*p + n*p**2 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 e when four letters picked without replacement from {m: 7, z: 5, e: 5, d: 2}.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -25\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 0 + (1370 - 1386)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round 52002914.13 to the nearest one thousand.\nAnswer: 52003000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*y + 476, -a + 22 - 408 = -4*y. Suppose 9 = -o + y. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 + 15*v - 3. Let b be f(7). Suppose 4*y - 77 = 63. Let n(a) = a**2 + 4*a + 4. Let w(x) = -10*x**2 - 35*x - 35. Calculate b*w(r) + y*n(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3014301112 + 0?\nAnswer: -3014301112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + n + 1. Suppose -30*z + 240 - 60 = 0. Let c(x) = -3 + 3 - z + 13*x + 7 - 12*x - 4*x**2. Give 3*a(f) - c(f).\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3820*j. Let x(o) = -4*o + 17. Give n(x(z)).\nAnswer: 15280*z - 64940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -21, 1.6, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -5, 608, -2\/5, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -6 + (3 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -3 - (-3 + (3 - 1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 1 + 1)*(-l**4 - 3*l**4 + 2*l**4) + (1 - 3 + 4)*(619*l**5 + 345*l**5 + 192*l**5).\nAnswer: 2308*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*z = 87*z + 46*z - 31*z + 24089 for z.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -8*q**4\/3 - 7*q**3\/6 - 3*q**2. Is g(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 6:39 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - q - 2*q - 17, 3*z + 4*q = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + 24 = -36*m. Calculate the lowest common multiple of m - (-1 + 0 - 5) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3 + (-2616783)\/(-468))*4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*(116\/(-870) - (-542)\/15)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2) - (-29)\/2. Let b = -6 + o. Let j = b - 4. Solve -2 = p - j for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21484b (base 13) to base 11\nAnswer: 494049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.29446 rounded to one dp?\nAnswer: -18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 263475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, m: 2, h: 7}. What is prob of sequence iimh?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**3 - 47*y**2\/2 + 252*y + 1. Calculate l(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.99 - 0.01. Let s = -1.14 + 10.74. Let o = s + -10. Which is the smallest value? (a) -5 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143 and 6.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 <= 575518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 3. Let s be u(4). Suppose -j - 1 + s = 0. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-2703)*53)\/((-1)\/54).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*o - 46, 5*o + k = -3*k + 79. Suppose 40 = 5*t - o. Calculate the least common multiple of t and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11716 + 1.88284. Is -21.56 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. Suppose -r*x - x = 0. Suppose x = 2*t - 6. What is the second smallest value in 5\/4, t, 0.2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1943162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 62 * -3042584\nAnswer: -188640208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 2*h + 6. Let t be d(4). Let p be ((-9)\/(t\/8))\/2. Put p, 12, -3 in increasing order.\nAnswer: -3, p, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*(-9 + -3))\/(-2). Suppose -3*f = -b, 0 = 5*w - 2*w + 2*f - 25. Solve w - 15 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 2aa?\nAnswer: -2a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/21)\/(1\/(-11)) and 34\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21973)\/(-86))\/(-73))\/((-7)\/(-116))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 109704133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, m: 6, i: 2}. What is prob of sequence did?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67 + 149 + 271)*(-3 - 3 + 4)*(-1 + 10 - 4)*(0*q - 3*q + 6*q) to the form t + f*q and give f.\nAnswer: -14610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1 + o - 3*o**3 + 5 to the form n + t*o + i*o**3 + l*o**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -5)*702\/(-162). Let j(l) = -l + 20. Let x be j(0). Let v = x + s. Is v > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.79401 times 2\nAnswer: 1.58802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62629 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -55*l**3 - l**2 + 1. Suppose 0 = -4*f - 4 - 0. Let y(w) = 15*w**2 - 2*w + 1. What is the remainder when g(f) is divided by y(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 - 8*f + 15. Calculate b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(6\/4))\/((-77)\/(-1155))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + (0 - 3))\/2. Let s be (9\/(-12))\/((-3)\/(-6864)*4). Let h = 7295\/17 + s. Is h less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 302901*t - 21. Let f be s(5). Suppose -2*x + 7136966 + f = 0. Suppose 4*r - 114275 = x. Round r to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1 (b) -4 (c) 2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 116. Let d be (-6)\/4*(-1144)\/(-39). Let u = p + d. Calculate the remainder when u is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 + 1. Suppose -4*j + 1 = -3*v, 3*v + 2*v = 5. Determine w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3*a + 2)*(-2*a + 2*a**2 + 2*a)*(27*a - 4*a + 13*a) to r*a**2 + x*a**3 + j + u*a**4 + c*a and give u.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 11.\nAnswer: -5, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 1714*s + 611*s - 106*s**2 + 806*s + 110*s**2 in the form a*s**2 + r + x*s and give x.\nAnswer: 3131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = 22*g - 870. Calculate the highest common factor of g and 899.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 11 + 25. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 - 21048*o\/7 + 1338880\/7.\nAnswer: 2*(o - 10460)*(o - 64)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/174966 and -71\/39524.\nAnswer: 14347212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1019*n + 8224*n + 1 + 4912*n to the form x + s*n and give s.\nAnswer: 12117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38, 74, 110, 146, 182?\n\"Answer: 36*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1861a - -1?\nAnswer: -18619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*f*r - b**2*f + 31*b*f - f*r + 26*f - 46*r wrt b.\nAnswer: 4*b*f*r - 2*b*f + 31*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 5*o + 9. Suppose 0 = -2*c + 4, c - 5*c + 32 = -4*u. Determine q(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**4\/4 - 20*i. Let k(m) = m**2 - 2*m. Let z(a) = 2*a**2 - 3*a. Let d(y) = 8*k(y) - 5*z(y). Give l(d(x)).\nAnswer: -12*x**4 - 12*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100153, -400604, -901355, -1602406, -2503757, -3605408?\nAnswer: -4907359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 13 + -9 + 79 + (-30 - -34)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2 - 5\/3). Let k(u) = 2*u**2 - u + 3. Let b be k(g). Suppose q + 6 = b. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3131*c - 635616. Calculate o(203).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b - 24. What is f(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 2. Let u be o(0). Let t be 7\/u*4\/8. Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4))**35\/((d\/(d*d*d\/d**(-3\/7)))\/((d*d\/d**(-5))\/d)) assuming d is positive.\nAnswer: d**(481\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 117228289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156238104 and 584.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + x + 100. Let a be (-6 - -6)\/(-2 + 1). Suppose -d + 5*d - 5*o = x, -4*o = a. Solve -t + 8 = 3*y, t - d*y = -y - 13 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25193 by 6385.\nAnswer: -25193\/6385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:22 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 q when three letters picked without replacement from {c: 7, q: 5, z: 1, p: 1, t: 1, s: 4}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 24*q**2 - 9*q**2 + 19*q**2 + 22*q**2. Let g(m) = 3. Let k(i) = -2*i + 6. Let o(v) = 2*g(v) - k(v). What is p(o(l))?\nAnswer: 224*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5036 take away -77?\nAnswer: 77.5036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10+12346527.1950208\nAnswer: 12346537.1950208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -96 (b) 2\/9 (c) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 12 = 2*d. Let c(b) = b**2 + b - 2. Let q(x) = -5*x**2 + 28501*x - 28505*x + 17 - 6. Let p(t) = d*c(t) - 2*q(t). Find m, given that p(m) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66450 + -226262248\/3405. Let z = 51143\/115770 - s. What is the common denominator of z and -16\/3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -14133202302?\nAnswer: 14133202254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -99588 >= -99586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8874390 to the power of 1\/2, to the nearest integer?\nAnswer: 2979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1683793690.\nAnswer: 2, 5, 307, 331, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rrvrrrrrrrrrv?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -64*q**3 - 20*q - 44. Calculate the least common multiple of h(-2) and 8.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29\/3, -4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224 - -289. What is the highest common factor of 26 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011500234 (base 6) to base 16.\nAnswer: -9f59fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.2744 days in milliseconds?\nAnswer: 5812508160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4944, -9584, -14224, -18864?\nAnswer: -23504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*114758\nAnswer: -9180.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -2 (b) -156.6 (c) 2 (d) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -293, -461, -629, -797?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - ((-28)\/602 - 38760\/(-1290))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -132772*m**2 + 65*m**3 + 132772*m**2 - 28 as q*m**2 + d*m + r*m**3 + a and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1540842244 - 5?\nAnswer: -1540842249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/16 and 114\/(-96) - (-3 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w = -5. Suppose 0*j = -5*j - 5, d - w*j = 5. Which is the closest to d? (a) -2\/9 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8262464 and 1344.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 39. Is j\/(2\/2074*-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96136421.92653 - -2?\nAnswer: -96136419.92653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -a - 287. Put 0, a, -5, -1, 4 in increasing order.\nAnswer: -5, -1, 0, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 1. Let i be t(6). Let s(f) = 7*f - 4. Let y(g) = 3*g + 2*g - 1 - 6*g. Let p(x) = 16*x - 1. Let r(h) = p(h) + 5*y(h). What is i*r(u) - 8*s(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -35. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (0 - (6 + 8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1994318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Let u(a) = 2*a + 13*a - 125*a**2 - 25*a. Let c(l) = 376*l**2 + 32*l. Let n(i) = 5*c(i) + 16*u(i). Calculate f(n(x)).\nAnswer: -28800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*d**2 - 489*d + 974*d + 4 - 20*d**2 - 484*d to the form m*d**2 + y*d + o and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -127ab82 (base 13) to base 6\nAnswer: -324100345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24639 + 24645. Solve -2*t - 10 = n*v - v, -4*t + 2*v + 4 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200022201222 (base 3) to base 10.\nAnswer: -360665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -28 + 8 + -15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 261, 528, 799, 1074, 1353, 1636, 1923?\n\"Answer: 2*r**2 + 261*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 4*a + 37. Let c be r(8). Solve -c*o + 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(2 + 2) - -8. Put c, 1, -3 in descending order.\nAnswer: c, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 7, 52\/7.\nAnswer: 7, 52\/7, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69256471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10473 - 24?\nAnswer: 10448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.25 + -0.25. Let s = a + 2.5. What is the nearest to 1 in s, 5, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/238000 and -33\/34000.\nAnswer: 238000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 330*x - 11. Let a be o(4). Suppose -611 - a = -10*q. Calculate the remainder when q is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-24))\/v**(-1\/12)*(v**22)**(-2\/37))**(-16) assuming v is positive.\nAnswer: v**(-42436\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1185 - (0 - (-6)\/2). Let d be 1 + -4 + (o\/(-195))\/(-2). What is the biggest value in 3, 0.3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-1 - 69\/(-6)). Suppose -c*b = -40*b - 42. Factor -2*y**4 - 19*y**3 + 2*y + 4*y + 10*y**2 + b*y**3.\nAnswer: -2*y*(y - 3)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/7)\/(o*o**10))\/(o*o**(-2\/9))**(-31) assuming o is positive.\nAnswer: o**(817\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1914000 rounded to the nearest 10000?\nAnswer: -1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*g - m - 3, -20 = -4*g + 4*m. Suppose -4 = -n - 2, g*r = 4*n - 6. Factor -9 + 6 - 6 - 6*d**2 + 16*d + r.\nAnswer: -2*(d - 2)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 7, o: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -31*d**2 - 3*d + 2. Let c be n(1). Let z = -11 - c. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (46 - (-7 + 37 + 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Suppose s = -3*r + r + t, -r + s = -2. What is the smallest common multiple of 18 and (r\/(-4))\/(1\/(-12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 754 and 116.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83068 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5637219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 15 + 627. Calculate the remainder when 468 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 3*s**2 + 0*s + 7*s + 4*s**2.\nAnswer: s**2 + 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.5128 + -1.4872. Which is the nearest to -1.8? (a) x (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 10*v**2 - 7*v + 14. Does 12 divide m(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-21) + -9 + (1503\/108 - 3). Let u(v) be the first derivative of m*v**5 + 12 + 23\/4*v**3 - 7\/2*v**2 - 35\/8*v**4 + v. Factor u(t).\nAnswer: (t - 1)**2*(5*t - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3012\/11 - 274. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/156 and 61\/50596.\nAnswer: 151788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31244*t**3 + 81746*t**3 + 28403*t**3.\nAnswer: 78905*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 2*i + 30. Let a = i - 3. What is the common denominator of 37\/22 and 107\/a + 3\/(-9)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 0 + 0 + (2 - 2 - 2)*(2 - 2 + j) - 392*j - 434*j + 1200*j.\nAnswer: 374*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 6:07 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -246.11472 rounded to 0 dps?\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 970 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Let i = -3 + 3.03. Let k = i + -1.03. What is the third biggest value in a, k, 1.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-36)\/2 - -2*1. Suppose 0 = -53*m - 10*m - 437 - 445. Is m < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 764369576405 and 1?\nAnswer: 764369576404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**3 - 2*z**2. Let w be (20\/3)\/(515\/618). Let h(o) be the second derivative of -o**5\/20 - o**4\/12 + 2*o. Determine w*h(s) - 3*f(s).\nAnswer: s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*c**2 - 85*c**3 - 19*c**2 + 34*c**2 + 84 with respect to c.\nAnswer: -255*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220656 and 68592.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -107939 + 3?\nAnswer: -107936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 686?\nAnswer: 686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2732 and -6\/503?\nAnswer: 1374196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 27779 - 27779.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 21*o + 10. Suppose 2*c = q - 41, c + 4*c + 4*q = -109. Calculate the remainder when 35 is divided by v(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 0, 145, 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 4*g + 3. Suppose 6 + 14 = 4*k. Let y(d) = 9*d - 2. Let i(c) = 4*c - 1. Let h(j) = -7*i(j) + 3*y(j). What is k*h(v) - l(v)?\nAnswer: v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 2 = t - 5*l, -3*t + 4*l + 17 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51\/4*q - 3\/2 - 45\/2*q**2 = 0. What is q?\nAnswer: 1\/6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 10*h - 1. Let n be r(9). Let g be n\/4*(-11)\/110. Let d = 4486 + -4485.97. Which is the third biggest value? (a) 3 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28083*y**2 + 1 - 28082*y**2 - 1.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i + i - 3*i + (-5 + 4 + 2)*(i + 2*i - i) + 6*i - 4*i + 2*i to g*i + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 245301092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1))\/(q\/(((q*q*q*q**(-2\/41))\/q)\/q)*q)*q**(2\/31)*q\/((q**29\/q)\/q) assuming q is positive.\nAnswer: q**(-31755\/1271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31271781*l**2 - 66973397 wrt l?\nAnswer: -62543562*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-118)\/(-70) - 4\/14. Let q = 0.491 + -371.491. Let l = q - -371.3. What is the second smallest value in l, -3, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.32, -1.6 in ascending order.\nAnswer: -1.6, -0.32, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlxrllqlclxggqx. What is prob of sequence lxgl?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2053 divide 141619342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 35. Let j = b + -26. Let y = -38 - j. Calculate the remainder when y is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1435 and 207173?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*c + 4*c + 5432. Calculate the greatest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29 - 2*f**3 - 29 + (5*f - 2*f - f)*(0*f**2 - 2*f**2 + f**2).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 185780*x**2 - 10516*x + 80.\nAnswer: 371560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r + 71. Determine y(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 177, -1248, 4, 3, -3.\nAnswer: -1248, -3, 3, 4, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1896768*p**2 - 3. Let x(h) = -h**2. Calculate n(x(a)).\nAnswer: -1896768*a**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let k = 20 - 22. Let x(u) = -2*u**2 + u. Determine k*w(s) + x(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14568, 14425, 14284, 14145?\nAnswer: 14008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 233, 475, 701, 905, 1081, 1223, 1325?\n\"Answer: -r**3 - 2*r**2 + 255*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 0.7, 4?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140.94 times -2?\nAnswer: 2281.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o\/o**17)\/o*o)\/o)\/o)\/o**9)\/(o**(-13)\/o**17) assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**5\/15 + k**4\/12 + k**3 - 2*k**2. Let y(p) = -9*p**2 - 5*p - 13. Let x(n) = -13*v(n) - 6*y(n). Factor x(i).\nAnswer: 2*i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 4:16 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3*25\/(-30))\/(10\/168). Let x = 58 - f. Suppose 3*i - 6*i + 93 = 0. What is the remainder when i is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 106, 236, 418, 652?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 >= -266.79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(143)*-1*3 - sqrt(143))\/((sqrt(77) - (sqrt(77)*2 - sqrt(77)) - sqrt(77))\/sqrt(7)) + ((sqrt(117) - sqrt(117)*-3*2)\/(sqrt(9) - 1*sqrt(900)))**2.\nAnswer: 637\/81 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 33 = -3*g. Let l = 11 - g. Solve l*b + 20 = -5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562*b - 556*b - 3120 = 0. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(3\/7)*w**(-2\/5)\/w*(w**0)**(4\/17)*((w**0)**(-3))**38 assuming w is positive.\nAnswer: w**(-29\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.15 + 0.85. Let t = -50 + j. Let b = t + 43.9895. What is b rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1552*c + 10. Let t be a(-3). Is t\/(-4)*30\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nww when three letters picked without replacement from ibwinnbbibiibww.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 0*q + q**2 - 2*q - q**3 + 3 + 5*q**2. Let b = 127 - 121. Suppose -22 = b*y - 64. Determine j(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 130*g**2 + 69*g - 1053. Is v(-131) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 16) in base 15?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r - 140. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 4*j + 2*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/33)\/(-5)*17\/255*9.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1745 + -1747. Let m = 0.2 + 0.3. Which is the nearest to -2\/5? (a) -4 (b) m (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 835\/275) + 4\/10. Solve 2\/11 - 2\/11*m**4 + k*m**3 + 0*m**2 - 4\/11*m = 0 for m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000125057679 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -6 - -17*(7 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3189, 6376, 9567, 12762?\nAnswer: 15961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005768 to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810*-0.095.\nAnswer: -76.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/5, -3\/5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + ac3517?\nAnswer: ac351c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 220110?\nAnswer: 220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 2*v**2 + v)*(1302*v - 2542*v + 1 + 1285*v) to the form u + b*v**3 + w*v + f*v**2 and give b.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 7*v**2 + 3*v + 11. Calculate z(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**0)**(-9) assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:20 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 + 218 + (-4 - 4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4849 in -1\/2, 1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2493 - -2509. Solve -4*z = z + 3*l + 14, 0 = z + 5*l + b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65260)\/2860 - (28\/70)\/((-22)\/(-10))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*sqrt(4617)*1)\/(-2*sqrt(6)\/sqrt(2) - sqrt(243)*-1)*-2)**2.\nAnswer: 1385100\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 7. Let m be a(6). Let n = m - -49. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11*p + 196. Let u be w(16). What is the highest common divisor of u and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -694, -2, 5, -4 in decreasing order.\nAnswer: 5, -2, -4, -6, -694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6408, -0.1, 3\/4, 6, 0 in ascending order.\nAnswer: -0.1, 0, 3\/4, 6, 6408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*h + 4, -p + 3*h - 1 = -2. Let u be (2\/(-54))\/((-1)\/p). Let i = 44\/135 - u. Which is the third biggest value? (a) -5 (b) 2\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -13, -17, -23, -31?\n\"Answer: -d**2 - d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 + 420 = 22*t + 52. What is the remainder when 46 is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 23 + 18)*(-n**5 + 3*n**4 - 3*n**4) + (n - 3 + 3)*(-2*n**4 + 4*n**4 - 3*n**4) + 3*n - 2*n**5 - 3*n.\nAnswer: -11*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyctdydrcrrrrrcwc. Give prob of sequence tty.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/28 + 13\/(-4). Let d be (-47)\/9 + (2 - f). Let n = -6.7 + 7. Sort n, d, 5 in ascending order.\nAnswer: d, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -442, -444, -444, -442, -438, -432, -424?\n\"Answer: z**2 - 5*z - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -952*c - 23853. Determine w(-25).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/10))\/(z\/(z\/(z**(-46)*z)*z))*(z\/z**(1\/36))\/z*z**(-24) assuming z is positive.\nAnswer: z**(4153\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/32600580 and -47\/4.\nAnswer: 32600580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.3 in 5\/8, 85, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*k - k + 19699, -z + k = -4926. Suppose a + 9815 = 2*j, z = 2*j - j + 4*a. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.04 (b) 75782 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)\/j**8)**(-45)*((j\/((j*j*j\/(j*j*(j*j**(5\/6))\/j)*j*j)\/j)*j)\/(j**(2\/3)\/j*j*j))**(1\/50) assuming j is positive.\nAnswer: j**(20999\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0164 + -2647?\nAnswer: -2647.0164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1, 2, 4, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, p: 3, l: 2, h: 4, e: 4}. What is prob of sequence eh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488.6714 rounded to the nearest 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/125412, 6, 0.1.\nAnswer: 1\/125412, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176 - -177. List the prime factors of (g + 162)\/((-1)\/18*-9).\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from rxhqxqyrhxhqhhhr?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 1) + -63 + 47?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10756, 21511, 32266, 43021, 53776?\nAnswer: 64531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -754 divided by 58.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*6\/(-855)*(-90)\/(-12). Which is the third smallest value? (a) 0 (b) r (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*2\/(-3) + (49 - 43). Which is the biggest value? (a) 12\/13 (b) j (c) 1\/6 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35739780 divided by -56820?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = -0*h. Suppose -19 + h = -6*l. Solve l*p - 5 = -2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -33310031?\nAnswer: -33310042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**4\/7 - 7109924*a**3\/7 + 7109934*a**2\/7 + 28439696*a\/7 - 28439704\/7 = 0.\nAnswer: -3554963, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-8)\/12) + 0. Suppose -6*q = -b*q - 48. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (-60)\/(-16) - (-2)\/8. Let n(p) be the first derivative of 0*p - 3 - 1\/18*p**4 + v*p**2 + 2\/27*p**3. Factor n(s).\nAnswer: -2*s**2*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (54\/81)\/(2\/33). Let i(h) = -42 - 43*h**2 + v*h + 23*h**2 + 21*h**2. What is the hundreds digit of i(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362853411.\nAnswer: 79, 218371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -15542728676.\nAnswer: -15542728674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -941177 divided by 5.\nAnswer: -941177\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 4869 in descending order.\nAnswer: 4869, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*s - 16*s**2 + 3*s - 6*s + 0*s wrt s.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8*c - 5*c - 45697 = 0, 5*b - 114253 = 3*c. List the prime factors of b.\nAnswer: 2, 5, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*g - 190 = -127*g. Let c = -0.6 - -0.7. What is the nearest to c in g, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -554 - -581. Suppose -10476 = -b*l + 1782. What is the remainder when l is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 3. Let u(r) = r**2 - r. Let o be u(2). Let m(s) be the first derivative of -2*s + 2*s**2 - o - s - s**2 - s. What is -5*m(j) + 6*x(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -170883\/141757 + 4\/2893. Calculate the common denominator of (-1007)\/1330 + (-10 - 2532\/(-252))*36 and y.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -132114 + -16?\nAnswer: -132130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1464 - -1465. Let j(c) = -3*c + 6*c**2 + 1 + 2*c + 2*c**2. Determine j(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 + 111. Let x be (-3)\/(-12) + y\/12. Solve -o**x + o - 4*o**2 + 3*o**3 + 0*o**2 + o**2 = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {n: 5, p: 2, a: 3, t: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2 - 11*i - 10. Let v(b) = 3*b**2 + 9*b + 10. Let y(t) = -4*u(t) - 5*v(t). Calculate y(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 - 308*v**2 - 128*v - 5. Give c(62).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 + 15*p**2 - 8*p + 38. Let u(a) = -2*a**3 - 15*a**2 + 9*a - 37. Let o(q) = 4*h(q) + 5*u(q). Let v be o(7). Solve -g - 6 = -v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 2*f - 24. Suppose 0 = f*v, 0*v + v = 4*q - 10228. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:39 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -34*h - 1. Let c be s(-1). Suppose -2*j + o = -0*o - c, -j - 2*o + 24 = 0. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*k + 17, 3*p + 13 = 4*p + k. Calculate the remainder when 63 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -244.4 - -223. Let i = -48.7 - z. Round i to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - 1) + -2 - 2. Let r = 24 - y. Calculate the greatest common divisor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 - -564. Let n = 629.9999994 - c. Round n to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**3\/3 - h**2 + 2*h - 4662. Let y = -3 + 5. Let j(k) = k**y - k + 4 - 4 + 1. What is g(c) - 2*j(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 18\/11 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6569 + 6129. Is x at least as big as -447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*v - 81*v - 45. Solve 47 = -v*c + 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Suppose -7*f = -2*f - 10. Find the third derivative of -i + 2*b**3 + f*b**2 + 2 wrt b.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4034111 + 2143?\nAnswer: 4041304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178) + sqrt(2178)*1)\/(sqrt(99)\/(sqrt(33)\/sqrt(3)))*-1.\nAnswer: -22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163, 175, 209, 277, 391, 563?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-54))\/((-2)\/(-12)). Let m be 178\/(r + 3) + -4. Suppose -4*v = -7*v + m. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 18 = 5*t. Which is the closest to t? (a) -1 (b) 0 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**4\/12 + 2*j**3\/3 - j**2. Let a be b(3). Let n(i) = 2*i**2 + 2*i + 1. Determine n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 10. Let g be y(-5). Suppose -2*r - 4 = g, w + 2*r - 35 = -0*r. Let f be (13\/w)\/(2\/24*2). Solve 0 = -2*o - f*o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131188 smaller than 131179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7217708*c*h**2 + 6347260*h**2 wrt c.\nAnswer: 7217708*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 12:16 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22012 (base 4) to base 15\nAnswer: 2d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 12. Let y(t) = -t**3 + t**2 + 4. Let h be y(0). Suppose 8*m - h*m = 40. Solve q*s = m, -4*s + 14 = -o + s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 39*w**2 + 31*w - 205. Determine s(-38).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 8:44 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2748700 is divided by 4222.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - g + 24. Let l be p(0). What is the remainder when 45 is divided by (4\/6)\/(1\/l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.069 - -23.931. Let d = u - 50. Let q = d - -25.7. Put -64, 0, q in ascending order.\nAnswer: -64, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 3*y**2 + 5*y + 3. Let v = 3 + 0. Let i be (-13 - -7)\/(v\/(-2)). Let l be k(i). Which is greater: 8 or l?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -671185, -1342373, -2013561, -2684749?\n\"Answer: -671188*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)\/((k**0\/k)\/k))\/(k*k*k**(-4))**4 assuming k is positive.\nAnswer: k**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 4?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 9*j**2 + 10*j. Let g be c(10). Let d be (g + -1)*(-6 + 8). Is 13 a factor of (-107)\/(-4) + d\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -145, -174, -113, 92, 495?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4000310 (base 6) in base 2?\nAnswer: -101101100101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 4242?\nAnswer: 46662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b67 - 179?\nAnswer: -d02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 - ((28 - 29) + -37)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.61 - -11.61. Which is the second smallest value? (a) -1 (b) x (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f**4 - 2*f**3 - 93*f - 19969?\nAnswer: 8*f**3 - 6*f**2 - 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 6*l**2 - 5*l + 4. Let o = 175 - 179. Determine u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(-2\/3)*r)\/r)*r*r)**(1\/47)*(r*r\/(r\/(r**(1\/3)*r)))**(-35))**(2\/3) assuming r is positive.\nAnswer: r**(-23008\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.914*-12849.\nAnswer: 37441.986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -m + 6, 2 = -5*m - 4*i + 3*i. Suppose 250 = -m*j + 5*j. Calculate the highest common divisor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -349.7 and 12531.8.\nAnswer: -4382370.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 10 + 1\/10*k**2 + 1\/15*k**3 + 0*k. Determine w, given that u(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b + 476. Let x(k) = 37748*k. Determine x(a(l)).\nAnswer: 226488*l + 17968048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 11. Solve -5*s + 3 = -2*s + c, -2*c - 6 = y for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*p + 16*p + 225. Put -3, -34, -5, p in decreasing order.\nAnswer: p, -3, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4)*2*(-1 + -13). Which is the second biggest value? (a) m (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Suppose -a - 5*j = 18, -j = m + 2. Suppose 3*u + 5*f - 53 = 0, -3*f = a - 1. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -762*b**2 - 5*b - 16 + 600*b**2 + 16 + 5*b.\nAnswer: -162*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1189121.3 rounded to the nearest ten thousand?\nAnswer: -1190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgrveep. What is prob of picking 2 p and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -58*y**3 - 22*y**2. Let p(d) = 87*d**3 + 33*d**2. Let s(o) = -5*p(o) - 8*q(o). Find the third derivative of s(g) wrt g.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 12:31 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 9. Suppose 0 = -g*h + 8*h. Put h, 4, -2 in descending order.\nAnswer: 4, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574 = -328*a + 329*a. Let x = a - -596. Calculate the smallest common multiple of 22 and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 973431*u**2*z**2 + 16*u**2*z - 57*u*z - 3*z**2 - z + 36 wrt z.\nAnswer: 1946862*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 2 (c) 4 (d) 355\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millennium in months?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -4*x + 2*x - x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8 + r**3 + 3*r**5 + 782*r + 3*r**3 - 242*r - 38*r**4 - 3*r**3 - 11*r**4 wrt r?\nAnswer: 60*r**3 - 588*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11*(-388)\/12 + (-6)\/18. What is the common denominator of 67\/12 and 42\/(-56) - i\/272?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 15) to base 6\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 5*h**2 - h**2)*(-357*h**3 - 4*h + 3*h + 334*h**3 - 1).\nAnswer: 69*h**5 + 3*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 870514557*g**3 + 14869*g - 5222.\nAnswer: 5223087342*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 8*p + 3*p - 65 = 0, 4*p = -5*d + 133. Calculate the highest common divisor of d and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*b**4\/5 + 245386*b**3\/5 + 215138648*b**2 + 3839052776*b\/5 + 1842543456\/5 = 0. What is b?\nAnswer: -8762, -3, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 + 13 = 5*q. Let a be (2 - -2) + q\/(-4). Which is smaller: -1\/5 or a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1991 + -6409. What is a rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -185*u**4\/2 - 15*u**3\/2 + 8*u**2 + 12*u + 37. Find the second derivative of j(i) wrt i.\nAnswer: -2220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8 + 3 + 7*s + 2 - 3*s. Let v be h(4). Let i = v - 7. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1163 - 1153. Calculate the greatest common factor of n and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c69e (base 15) to base 16\nAnswer: -a40f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (6 - 10) - 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/16)\/(2\/20). Let k(a) = 32 + 5*a - 76 + a**2 + 39. Give k(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.525 + -0.225. Let a = 0.52 - -3.48. What is the second biggest value in -0.2, d, a, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 196*x + 5566.\nAnswer: -2*(x - 121)*(x + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + 1 + -2 + 4.\nAnswer: 3 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -9552834334.\nAnswer: -9552834330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 - -3. Let i = k - 1. Let v = -569.3 + 569. Which is the biggest value? (a) v (b) i (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4. Suppose 8 = -4*b - g*b. Let s be 5\/(b\/2*-1). Solve 2*j = s*m - 2*j - 15, m = -5*j + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-4 + 4 - f**2) + 12*f**2 + 36*f - 36*f in the form w*f**2 + n + v*f and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2579100939739 and 5.\nAnswer: 5.2579100939739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*g = 5*g - 32*g - 126360. What is the highest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 69*t**2 - 70*t - 45. Let d be r(24). Calculate the highest common factor of 237 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(2\/5)*(v**(-1))**(-5\/4)*(v\/((v*v**(1\/2))\/v))**(2\/19)*(v*v**(-2\/5))**30 assuming v is positive.\nAnswer: v**(7487\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = 23*s - 653. Suppose -5*p = -4*q - 31, 4*p + 8 = -s*q + 12*q. Solve 2*d = 5*d + p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**3\/7 - 29586*v**2\/7 + 118312*v\/7 = 0.\nAnswer: 0, 4, 14789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12116\/117 - 4\/(-9). Calculate the highest common factor of m and 780.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (34*c - 221*c + 25*c - 197*c)*(3*c - 4*c + 2*c) as a*c**2 + u*c + z and give a.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 7:39 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -35312 = -0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1765, 1713, 1635, 1537, 1425, 1305, 1183?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(-1\/2)*c*c)\/c)**(20\/7)\/(c**0\/(c*c**(-3))) assuming c is positive.\nAnswer: c**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (312 - 0)\/4 - 2. Suppose -3*n = -7*b + 2*b - j, 5*n - 3*b - 132 = 0. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abtaopbafabaa. Give prob of picking 1 f and 1 p.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 - 14*d + 3. Let z be k(11). Suppose -8*r + 989 = z. Is (r - 0) + -2 + -1 + 7 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -186 + -66?\nAnswer: -1ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.479 - 0.17.\nAnswer: -0.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1157 bigger than -1157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 7*i**2 - 28*i + 76*i - 28*i - 20*i + 70.\nAnswer: i**3 - 7*i**2 + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 16*u**2 + 161*u + 1. Let b be d(23). Solve -2*g - b = -p - 0, 4*g + 14 = -2*p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197219777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 39*i - 740. What is w(15)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/4 - 233379*y**2\/4 - 525042*y.\nAnswer: -3*y*(y + 9)*(y + 77784)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*m + 14*m + 546 = -824 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 12*r = 36. Let n be 0 + (-10)\/r + -1. Let g be (-2)\/4 + -4 + 3\/1. Which is the nearest to g? (a) 1 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 26*n**2 - 17*n + 10. What is the thousands digit of o(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*m - 665. Suppose -5277*o = -4614*o - 29835. Calculate the remainder when m is divided by o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*68\/187\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 10, p: 2}. Give prob of picking 2 a.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 96661172 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 17. Let t(k) = 8 - v + 11*k**2. Calculate the remainder when 42 is divided by t(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 8800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61298495.\nAnswer: 5, 631, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*a**5 + 17173400*a**4 - 4915336200225*a**3 - 52431857572800*a**2 - 99949031541200*a + 39324155076480 = 0. Calculate a.\nAnswer: -8, -3, 1\/3, 572452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.34331 and -0.064.\nAnswer: -0.40731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 4:43 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknkpnnpknnnnknpnn. What is prob of picking 2 k?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 - 126 - 25) + 77.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2 = -22. Suppose 2*g - 3*h - 1 = -8*h, g - b*h - 7 = 0. Differentiate 1 + 0 + g*j - 5 + 2 with respect to j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 587 + -585. Suppose -6 = 97*v - 103*v. Calculate the smallest common multiple of v and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = -2*w - 128 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6235 - -21\nAnswer: 6256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3397 = 4*i - 1028, o - 2*i = -783. Suppose -154*t = -163*t + 14472. Let g = o + t. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 0.67?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.527 and 9.\nAnswer: 1.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -63. Suppose -m*c + 0*c - 5*z = -3042, -4*z = -c + 1495. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 5*y + 4*y)*(-113*y + 243*y + 177*y).\nAnswer: -614*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -1025\/4 and 28 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3142292 - 3*y + 3142292.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**4 + 359985*l**3 - 5040625*l**2 + 10441815*l + 15842420 = 0. What is l?\nAnswer: -72011, -1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 659?\nAnswer: 659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 1. Let s(l) = l**3 - 2*l**2 - 3*l - 2. Let r be s(3). Let a be u(r). Determine p, given that 1\/4*p**2 + 0 + 0*p + 1\/4*p**a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 538 = -4*p - 527, 3*p + 9 = -2*u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**7\/112 - s**6\/20 + 9*s**5\/160 + 5*s**4\/16 - s**3\/2 - 5*s - 28. Find v such that l(v) = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**6\/10 + 5*r**3\/6 - r - 4. Let o(h) be the first derivative of c(h). Find the second derivative of o(g) wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2362049 is divided by 295251?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -180 - -183. Suppose -1629 = -h*g - 510. List the prime factors of g.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(6*(-2*sqrt(18) - sqrt(18)) + 1*sqrt(882)))\/(-4*sqrt(9)*-2 - (sqrt(9) - -6*((sqrt(9) + sqrt(9)*-1 - sqrt(9)) + sqrt(9)))).\nAnswer: -55*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + n + 55 - 57, -5 = u - 2*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1204667*l. Let k(q) = -q**2. Calculate t(k(g)).\nAnswer: 1204667*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1110101100000 (base 2) to base 16\nAnswer: 1d60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 - -4) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 277*z**2 + 77834*z - 847. Calculate a(-281).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**3\/3 + 1. Suppose 3*j - 3 = -0*j. Let b(i) = 2*i. Let o(t) = t. Let p(s) = j*b(s) - o(s). What is p(d(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2412 + 2409. Which is the third smallest value? (a) k (b) 6 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - -11 - 26) + (0 - -16 - 3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*q)*(1 + 2 - 2)*(0 + 1 + 0) + (-2 + 13 - 6)*(2 + 3*q - 2) to the form z*q + y and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, e: 9}. Give prob of picking 3 e and 1 q.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -19*r + 2. Suppose 9 - 3 = -z. Let m(w) = -9*w + 1. What is z*b(u) + 13*m(u)?\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 3*t - 5*t + 2*t. Let f(b) = -26*b + 1. Let p(k) = -f(k) - 5*i(k). Does 10 divide p(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34596544?\nAnswer: 2, 139, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*t = -92*t + 15 - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of x**5\/4 + 65*x**4\/6 + 115*x**3\/6 - 125*x**2 - 209*x - 5. Factor d(k).\nAnswer: 5*(k - 1)*(k + 2)*(k + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70? (a) -290\/51 (b) -3\/4 (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -5*j**3\/3 - j - 4007. Suppose 4*o + 4*r = 3*r + 3, -7 = -3*o + 4*r. Determine b(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**5 + 3235*g**4 - 190*g**3 - 122570*g**2 + 232745*g - 113225 = 0. What is g?\nAnswer: -647, -7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112*p - 193*p**2 + 198*p**2 + 310*p**3 - 1783*p wrt p?\nAnswer: 1860*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 8. Let o be ((-45)\/(-36))\/(1\/4). Let w be y(o). What is the smallest value in -0.2, -6\/5, w?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdzsdzssdszzzzdsszzd. Give prob of picking 1 s and 1 d.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.0885 rounded to 2 dps?\nAnswer: -9.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/108596 and -77\/12776?\nAnswer: 217192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*(sqrt(364)\/(sqrt(567)*-1))\/((1*-1*sqrt(40))\/sqrt(10)).\nAnswer: -2 - sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjvl when four letters picked without replacement from btvjkvjjttjl.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 567907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 2:55 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(2\/5)*h)**47 assuming h is positive.\nAnswer: h**(376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -1\/210*k**5 + 8*k**2 - 4\/7*k**3 + 5*k - 13\/84*k**4 + 0. Find z, given that m(z) = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 840818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 1563279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, 8, 4\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -10\/13, -9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 = -3*r - 11, -4*h + 3 = 5*r. Let k = 5 - -16. Let f = 21.2 - k. Which is smaller: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 10 = -3*c. Let n be 5\/c*(1 + 1). Suppose g = -n*k + 23, 0 = 2*g + 2*g + k - 73. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 1.4 (c) 1 (d) -0.048 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-15) - (1 + -1). Let k be ((-3)\/(-2))\/(1185\/3476). Let g = k + i. Find the common denominator of g and 28\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k**5 + 80*k**4\/3 + 104*k**3\/3 + 32*k**2\/3 = 0. What is k?\nAnswer: -2, -4\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 + 3*b**2 - 14*b**2. Let q(r) = -2*r. Determine q(w(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/(-6) - -4*5\/(-30). Suppose -4 = 2*b - 8. Calculate the smallest common multiple of 2 and x - (4 + -1 - b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11075 - 11080. Which is the nearest to -0.7? (a) g (b) -0.06 (c) -4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13480703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/56)\/((-2)\/(-14)). Let b be 102\/33 + 1\/(3 - 14). Suppose -4*x + 1 + 19 = 0. Sort x, b, 1, i in decreasing order.\nAnswer: x, b, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from dgggddgg?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -265 + 320. Solve 44*g - 33 = o*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 - 6*g + 8. Let x be 6\/27 - ((-215)\/45 - 3). Suppose x*q + q = -99. Let r(w) = 5*w**2 + 17*w - 23. Calculate q*b(y) - 4*r(y).\nAnswer: 2*y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**6\/120 - 7*s**5\/60 - s**4\/24 + s**3\/2 - 2*s**2 + 36. What is o(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 641724*n**2 - 1613632*n.\nAnswer: 1283448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6910033 - -55?\nAnswer: -6909978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -455754*h + 1. Let d(z) = -z. Determine d(o(p)).\nAnswer: 455754*p - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 616 and 49014.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20106 by 3.\nAnswer: -6702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1)*49\/(-14) - (-60)\/(-24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*j + 30*j + 30*j)*(-2*j**2 + 6 - 10*j - 7*j + 14*j).\nAnswer: -4*j**3 - 6*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n - 4 + 20 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9304 is divided by 3044.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 471, 702, 933?\nAnswer: 1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (0 - 883) - 1. Suppose 78*b + 16 = 77*b - 5*y, 3*b + 4 = -4*y. Suppose -b*v + w = 5*m - 129, v = 2*m + 256. List the prime factors of v.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/7 + 40*r\/7 + 88\/7 = 0.\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 225566201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j + 18*j + 50*j + 7*j + 24 - 22*j.\nAnswer: 86*j + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 2) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*o - 0*o. Let c be (-2)\/o - (-35)\/15. Find the second derivative of 30*l**4 + 0*l**c - 9*l**4 + 0*l**2 - 2*l wrt l.\nAnswer: 252*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100020012 - -102111?\nAnswer: 100122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 430*v. Let h(t) = 429*t. Let b(l) = -4*a(l) + 5*h(l). Let s(k) = -2*k. Calculate b(s(q)).\nAnswer: -850*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 10:52 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/4)\/k)\/k)\/(k\/k**(2\/17)) assuming k is positive.\nAnswer: k**(-213\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7866 = 36*x - 17*x. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 - 0.4. Let x = 32.7225 - 32.8. Let k = 0.3775 + x. Which is the second smallest value? (a) -4\/7 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1154, -2275, -3404, -4547, -5710, -6899, -8120?\n\"Answer: -m**3 + 2*m**2 - 1120*m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(363) + 5 - (-2 + 0 + sqrt(363))**2) + 3 + -4).\nAnswer: -1089 + 165*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*i**2 + 670*i - 80 = 0. Calculate i.\nAnswer: 8\/63, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Let y(k) be the third derivative of -k**6\/120 + k**5\/60 + k**4\/8 - k**3\/3 - 7*k**2. Determine y(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-6)*(-27)\/18. Suppose u*s + 3 = -27. Let y be (-24)\/s - 2\/(-5). Solve y*q - 1 = 5*a, -5*a + 0 = 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g + n - 29 = -43*g, -3*g - 20*n + 248 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**6\/135 + 49*n**5\/270 + 13*n**4\/9 + 4*n**3\/3 + 143*n**2. Factor c(q).\nAnswer: 2*(q + 6)**2*(4*q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370854 take away 3?\nAnswer: 370851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 77\/99 - (-4)\/(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58252.21ns to seconds.\nAnswer: 0.00005825221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0) + (-904)\/(-1). Let c = 12363 - r. Suppose c = 2*n - 1942. Round n to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12)\/o)**(1\/2) assuming o is positive.\nAnswer: o**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -152151778\nAnswer: -1\/76075889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhf when three letters picked without replacement from htzzetfetfhtqeh?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 c when three letters picked without replacement from {c: 1, h: 1, q: 2, r: 5, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/34*(-12)\/14)\/((-14)\/(-14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -76700 in decreasing order.\nAnswer: 3, -3, -76700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + sqrt(171) + -2 + sqrt(171) - sqrt(608)\/sqrt(2).\nAnswer: -2 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*a**3*i + 4587*a**3 + 5*a**2*i + 3*a*i with respect to i.\nAnswer: -13*a**3 + 5*a**2 + 3*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.1168 millilitres to litres.\nAnswer: 0.0031168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*(-8)\/2. Let s be -3 - (-3)\/(-6)*h. Suppose 3*w - b - 485 = 0, s*w = -w + 2*b + 165. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112203300 - 121321?\nAnswer: 112021313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/7848 and -125\/15502416.\nAnswer: 46507248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 13 = 3*y, -14*f - 7*y - 9*y + 7*y + 16 = -10*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q - 1008 = 24*q + 50*q for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 15 = d + 2*t, -3*t + 15 = 3*d. Solve 5*z - 5*u = -d, 7 = -z + u + u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/30 and -83\/165.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3211450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141\/4 + 35. Let n = 6.0257 + -170.0257. Is q > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = 4. Find the third derivative of 9*c**q + 1 - 20*c**3 - 1 + 9*c**3 wrt c.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkee when four letters picked without replacement from {k: 2, e: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9537 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -289*d**4 - 4200*d**2*s**2 - 673*s**2 - 2735 wrt d?\nAnswer: -1156*d**3 - 8400*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -8\/7 (c) 0.6 (d) -2 (e) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 11:22 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 43*n**3 - 7*n**2 + 8. Let u(f) = 21*f**3 - 3*f**2 + 3. Calculate -4*h(j) + 9*u(j).\nAnswer: 17*j**3 + j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 + -84. Let h = 42 - q. Suppose 3*l - 2*z - 15 - 2 = h, z - 14 = -l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 140*b**2 - b - 142*b**2 + 1 + 4*b. Let n be a(1). Suppose -n*f - 4*c = -3954, f + 5*c + 9855 = 6*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1976 and 3211.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -173\/70?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 7*f**2 + 2*f. Does 29 divide j(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*r + h - 202, 4*r + 201 = h. Let o = -49 - r. Is o equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 69 + -41?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 400*r + 3. Let l be q(6). Suppose l = -0*f - f. Is (1\/(-3))\/(9\/f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35754 or -1894928\/53?\nAnswer: -35754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -147, -148, -149, -150?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 6*s**2 - 4*s - 5. Let x(p) = -p**3 - 5*p**2 - 3*p - 4. Determine 5*a(m) - 6*x(m).\nAnswer: m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - 15*f - 22. Let m be s(-4). Solve -2*o = c - 5 + m, 3*o = 3*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1152 and 2957208.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/5, 1\/4, 1\/7, 4, 456?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**2 - 2*i + 77 - 6*i**2 - 73. Let k(b) = -b**2 - 3*b + 5. Determine -3*k(z) + 4*w(z).\nAnswer: -z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 5)*(-12 + 15 + 35)*(-q**3 + q**3 + q**3).\nAnswer: 114*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150904*n**2 - 150897*n**2 + 301809*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19904 and 88384.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*(j\/j**(2\/21))\/j)**(2\/13)*(((j\/(j\/(j**(1\/11)*j)))\/j)\/j)\/(j**(-5\/4)*j) assuming j is positive.\nAnswer: j**(-2549\/12012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 h when four letters picked without replacement from hhyvvyhvyyvtvv.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/15 - 598*b\/15 + 604\/5 = 0?\nAnswer: -302, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 3*f + 5. Let o be n(5). Let s(b) = -7*b**3 - 4*b**2 + 4. Let m(q) = -2 + 10*q**3 - 15*q**2 - 37*q**3 + 17. Determine o*s(y) - 4*m(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:40 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -399309, -798617, -1197923, -1597227, -1996529, -2395829?\n\"Answer: p**2 - 399311*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**6*h)\/(h**11\/h)*h**(-11)\/h**0 assuming h is positive.\nAnswer: h**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435905 divided by 5.\nAnswer: 87181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -10*o**4\/7 + 9528*o**3\/7 - 2484094*o**2\/7 + 99611760*o\/7 + 2860256 = 0.\nAnswer: -1\/5, 49, 452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1024*o**2 - 2081*o**2 + 1036*o**2.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*g = -5*g + 16, -5*m - 3*g - 9 = 0. Let n = -5.296 + 0.296. What is the second biggest value in n, m, 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - (-3 + 5 + 1 + 9) - -10?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -u + 91, -8 = -2*r - 4*u + 20. What is the highest common factor of r and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34664 is divided by 708.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 4. Suppose 7*v + 28 = z*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(9\/7)\/l)*l**(2\/31) assuming l is positive.\nAnswer: l**(169\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 11*d**2 - d - 12. Let h be f(-11). Is (-92)\/16*(167\/h + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 28 = 3*u + 2*b, 4*u - 4*b - 84 = 0. What is the third derivative of 23 + s**2 + 0*s**4 + u*s**6 + 4*s**6 + 0*s**4 + 2*s**4 wrt s?\nAnswer: 2400*s**3 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2\/4 - 15*v\/4 - 11 = 0.\nAnswer: -11, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2411098 divided by -9\nAnswer: 2411098\/9","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 7852 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6775, -27310, -61541, -109468, -171091, -246410, -335425?\nAnswer: -438136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 526097510053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:44 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 10363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**9*p*(p*(p*((p*p**(3\/8))\/p)\/p)\/p)\/p*p**(1\/5)\/(p\/(p**(-2\/7)*p)) assuming p is positive.\nAnswer: p**(-2159\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*i - 12*i - i)*(7*i**3 + 5*i**3 - 4*i**3).\nAnswer: -264*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 8013023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41100.2 years in months?\nAnswer: 493202.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0 + 0*n**2 - 1\/6*n**3 + n. Let h(d) = -1360 - 1352 - 3*d + 0*d + 2712. Calculate b(h(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-58)\/(-120) + (17440\/21120 - (-10)\/(-11)). Let o = 1 + -1. Let k(r) = r + 10. Let f be k(-5). Which is the closest to -0.1? (a) f (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 32. Let o be (-150)\/u - (-2)\/(-7). Solve -x - o*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103.0322 - 103. What is y rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8*r + 4*r - 284 = 0, 0 = 3*r + 9. Suppose -4*a + 33 = 2*l - 109, 2*a + 2*l - z = 0. What is the remainder when 110 is divided by a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k - 8. Let p(d) = -10 + 21 - d - 8 - 4. What is -6*p(s) + t(s)?\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -536979*g*k**2 + 3*g*k - 1374499*k + 3 wrt k?\nAnswer: -1073958*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**3 + 3*u**2 + 3*u + 1. Let n be r(3). Let t = 42 + n. Let k = t - -112. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15390027)\/(-36)*(-20)\/(-3) - 5. What is c rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -8 - 16 - (-14 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -158 - -80. Let m = 78 + w. Which is the closest to -1? (a) m (b) 1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/80 and 27\/34820.\nAnswer: 139280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 26, 38, 50, 62, 74?\n\"Answer: 12*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 7:32 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51093899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.20168 and -0.3.\nAnswer: -0.09832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 408\/31 and 14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412 divided by 4?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*r + 8 = 0, 1 = o - 4*r - 3. Let a = 1 - 2. Let i = -1.1 - a. What is the biggest value in i, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*c = 25, -4*h + 7 = -3*c - 1. Suppose -5*r - 15 = -3*j, -5*j + r - h*r + 25 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 424 = -8*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**2\/2 + 15*w + 3. Let y be s(-7). Let b = -5 + y. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14768\/(-6))\/8*-3. Let k(n) = 923 - c - 19*n + 5*n. Let r(f) = 6*f**2 + 7. Let l(x) = -2*x**2 - 2. Let s(a) = -7*l(a) - 2*r(a). Give k(s(g)).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005096718 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*2)\/sqrt(6)*-5 + 4 + (2 + sqrt(76) - sqrt(76)).\nAnswer: -10*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757, -734, -715, -700, -689, -682?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 625*x**2 + 14373*x - 48. Calculate i(-23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217221 and 165981?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 - 17*t\/3 - 70\/3.\nAnswer: -(t + 7)*(t + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-35)\/(-10)) + (-360)\/525?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*s**3 - 89*s**3 - 9*s**3.\nAnswer: -144*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 391 and -0.2.\nAnswer: -78.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177.19 - -177.2. Let l = 1108\/7 + -158. What is the second smallest value in 0.8, -0.1, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36.32 and 0.3?\nAnswer: -10.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4\/2 + 315*a**3\/2 + 624*a**2 + 622*a = 0.\nAnswer: -311, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 7*c**2 + 5*c - 8. Let z(o) = 3*o**2 - 2*o - 1. Let l be z(2). Is u(l) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 51 = -4*z, -3*v + 0*v + 5*z = -105. Solve 0 = -x - 5*i + 3 - v, -4*i = 4*x + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*m**2 - 2*m - 10 - 19*m**2 - 24*m**2 to the form l + r*m**2 + v*m and give r.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 + -10.81. Let a = -7 - w. Let j be (3\/12)\/((-15)\/12). What is the smallest value in a, -5, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 10. Put 5, 0, u, -4 in descending order.\nAnswer: 5, 0, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 21. Give f(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 23*i - 65. Let u be r(3). Suppose 0 = 4*l - 2*n - 7182, -l - u*n + 3566 = l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*c = 16, 19 = v - 5*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 7*w**2 - 16*w - 53. Give t(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 9*i + 4. Does 18 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = q - 38319, 5*q - 904 = -j + 8652. What are the prime factors of j?\nAnswer: 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1)\/(0 - -1). Suppose z = -6*t + 2*t + 28. Let b = t - -2. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334 times 0.2?\nAnswer: 266.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)*(-1 - 4). Suppose 8*k + 5 = -p*l + 3*k, -l = -5*k - 29. Let o = -1 + l. Which is the third smallest value? (a) o (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/10040642 or 1?\nAnswer: -5\/10040642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 953 - 954. Let z be 2\/((-12)\/(-7122)) + 3\/x. What is the highest common factor of 74 and z?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109.0002456 - -109. What is c rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -380*n**2 + 319*n**4 + 1113*n**4 + 382*n**2 + (-3*n**2 + 6*n**2 - n**2)*(n**2 + 2*n - 2*n).\nAnswer: 1434*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1216708 + -950?\nAnswer: 1215758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.9, -5, 0, 112.8, 1\/7 in decreasing order.\nAnswer: 112.8, 0.9, 1\/7, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20229, -20526, -20823, -21120, -21417, -21714?\nAnswer: -22011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - (-17 - -24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1542363 or 1542098?\nAnswer: 1542363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68433\/4 + 17108. What is the third biggest value in 4, g, 0.182?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-116.\nAnswer: -2668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1714)\/(-29995)*210\/(-132).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/10 - -37\/30. Factor k*t**2 - 1\/3 + 0*t.\nAnswer: (t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 4) + -11 - (-9 - 13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43 + 11a?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56734 (base 9) in base 16?\nAnswer: 9391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 4?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from {o: 7, r: 3, m: 2}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/l**0)\/((l\/l**(2\/5)*l)\/l**(-6)) assuming l is positive.\nAnswer: l**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 856305242 and 9?\nAnswer: 7706747178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(3 - 2 - 5)*(0*b - b + 0*b)*(3931 - 3931 - 505*b).\nAnswer: 2020*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -22, -37, -54, -73?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 17*v**3 + 5*v**2 + 2*v + 1. Let c(d) = -416*d + 831. Let j be c(2). Calculate w(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 6*w**2 + 3*w - 2. Does 3 divide p(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -279 + -11?\nAnswer: -28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 5:23 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 14*o + 2043*z - 2040*z, 0 = -3*o + 2*z - 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1352 and 3532744.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17514845 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*x**3 + 71*x**3 + 41*x**3 + 39*x + x**2 - 30*x**3 + x**2 wrt x?\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (0 + (0 - (4 + -2)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 190321 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: Find the common denominator of 121\/960 and 109\/72000.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {i: 2, g: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, h: 13, u: 2}. Give prob of sequence ulh.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 u, and 1 q when three letters picked without replacement from lddvvvqvu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100010011 (base 2) to base 13.\nAnswer: 78c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 14819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 83052357.3 to the nearest one million.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2150*o + 95878 + 17900 = -10922 for o.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 - -3) - (4 - 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -5. Let a be 1065\/120 + 2\/16. Suppose 0 = a*z - 3*z - 18. Solve -z*l + 0 = -b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.002, -0.2, -0.4?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1194995 is divided by 653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30799.74913 rounded to the nearest one hundred?\nAnswer: 30800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 912.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1300 and -13?\nAnswer: 16900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4492 rounded to 2 decimal places?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.840449ml to litres.\nAnswer: 0.001840449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 42. Suppose 3*v - 16 = 5*r - r, -i = -5*v + r. Let y be 21\/4 - (-2)\/(-8). Sort y, 3, v in increasing order.\nAnswer: 3, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/7 + 1458*l**3\/7 - 45936*l**2\/7.\nAnswer: -2*l**2*(l - 696)*(l - 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c + 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 3*n**2 + 0*n**2 - 4*n**2 + 3 - 10*n + n**3. Let y be m(10). Solve b + y - 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-2) - 749\/(-210). Let t(j) be the third derivative of 0*j - 1\/150*j**5 + 1\/30*j**4 - k*j**3 + 0 + j**2. Solve t(h) = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 9*a - 2 = 0. Suppose -5*k = 4*o - 24, -a*k = -5*o + o - 4. Suppose -177 = -k*r - 41. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.05221455 rounded to three decimal places?\nAnswer: 5.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1636, -2478, -2516, -1744, -156, 2254, 5492?\n\"Answer: x**3 + 396*x**2 - 2037*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-256*x - 282*x - 1254*x)*(-2 + 2 + 1).\nAnswer: -1792*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y + 0*y = 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 2*g + 40, 2*g = -32673*v + 32668*v - 50 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1703711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcn when three letters picked without replacement from nccnnnnnfn.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t - 4. Let n be u(-3). Let o be (-1)\/(-6100)*5\/n. Let f = -42091\/6100 + o. What is the common denominator of -69\/14 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.31, -5, 0.08, -0.06, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/((-14)\/76) - 2. Suppose 0*j - c = -4*j. List the prime factors of (j + 5)*(2 + -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 3*d**2 + 3*d. Let n(c) = c**3 + 2*c**2 + 2*c. Suppose -2*a + 3*f - 21 = -0*a, -a - 8 = -f. Give a*n(o) + 2*w(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*x + 491 = 355*x - 2960 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/16 in 0.06, 1\/4, 27, 4\/25?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505123233?\nAnswer: 3, 9091, 18521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 1:47 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134*n + 36*n + 53*n + 0 + 2*n + 0 + (1 - 4 + 1)*(4*n - 3*n - 3*n) + n + 0*n + n + 2*n + 0 + 0 + 0*n - n + 0*n.\nAnswer: -36*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - -0.19. Let z = -2\/149 - 125\/1788. What is the second smallest value in -1\/2, 0, z, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046448 to 4 dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0) + (10 - 0). Let z = m - 10. Which is the nearest to -1? (a) z (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53682 rounded to 2 dps?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 49*a - 962. Let g be u(20). Factor 9\/2*q**4 + 24*q**2 + 0 + 0*q - g*q**3 - 3\/8*q**5.\nAnswer: -3*q**2*(q - 4)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.354961 grams to tonnes.\nAnswer: 0.000000354961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b + 21*b**2 - 82 + 2*b**3 - 12*b**2 - 3*b**4 - 11*b**2 + 0*b**3 + 95 to the form k + a*b + t*b**4 + p*b**2 + i*b**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = -9*g + 16*g. Suppose -5*l = -6*l + g. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -28, -48, -64, -70, -60, -28?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -27. Suppose m = -5*w + 4*w + 35. Suppose -b = x - w, 0*b + 100 = 3*b + 2*x. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 10*n**2 - 10*n + 3. Let v be (-16 + 1)\/((-5)\/3). What is o(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -11*u**5\/5 + 16*u**3\/3 - 740*u + 342. What is the derivative of b(z) wrt z?\nAnswer: -44*z**3 + 32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -19. What is the tens digit of (66\/55)\/(m\/(-35))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3218482891?\nAnswer: 13, 17, 251, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/69671 and -37\/3.\nAnswer: 209013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 7 = 13*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + -2 + 2)\/(-1). Let g(a) = 3 + 2784*a**2 + 0*a**j - 2786*a**2 + 5*a - a**3. What is g(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 427*c + 6. Suppose -17*u + 13*u + 24 = 0. Let m be r(u). Let k = -1355 + m. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257127592?\nAnswer: 2, 53, 606433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -2*h - 48, -4*h - 16 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 5*g**5)*(6 + 0 - 4 + (-4 + 3 - 1)*(4 - 6 + 4)).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -21*g. Let c(o) = 1786*o. Let r be 6675\/39 + 10\/(-65). Let d(q) = r*n(q) + 2*c(q). Let j(m) = -m**2. Give j(d(s)).\nAnswer: -361*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k**2 + 8*k**2 - 4*k**2 + 2*k**2 - k**2 + k**2 + (-k - 4*k + 4*k)*(-2*k + 0 + 0) to the form i*k**2 + c + w*k and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/357 and -46\/35.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 = -3*j + 119. Suppose -6*x + 69 = 285. Let i = x - -68. What is the greatest common factor of j and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -135175, -270338, -405501, -540664, -675827?\n\"Answer: -135163*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -3, 1, 0.476, 5.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 11) to base 3.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 4.9 (c) 30 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-1)\/42)\/((-68)\/(-102)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8813.791 rounded to the nearest 100?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 667077*z**3 - 248777 wrt z?\nAnswer: 2001231*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k + 0*k)*(-5 + 5 + 1)*(-4 + 2 + 3)*(-365 - 121 - 16).\nAnswer: 1004*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 14045*f - 34. Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23863\/9 - 2651. Factor 4\/9 + 4\/9*k**3 + 14\/9*k - v*k**4 + 16\/9*k**2 - 2\/9*k**5.\nAnswer: -2*(k - 2)*(k + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*r**3 + 23*r**2 - 8*r + 10*r**3 + 7*r**3 in the form j*r + u + o*r**2 + b*r**3 and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 2. Let b(d) = -d**3 + 11*d**2 - 5. Let i be b(11). Determine y(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16)*o*o\/(o**10\/o) assuming o is positive.\nAnswer: o**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/7? (a) 2\/51 (b) -0.1 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*p - 3*p = -2398, 5*p + 1616 = 2*f. What is the remainder when f is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*z + z + z)*(10 + 9 - 23) in the form x*z + w and give x.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*-3*(-254)\/6. Let l = 19 - 31. Is k\/l - (-1)\/4 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (360\/126 - 2) + (-1)\/(-7). Let g(w) = w**2 + w. Let y(u) = 18*u**2 + u. What is a*y(s) - g(s)?\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5046698978 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/(-46)*2\/(-124)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45526033307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72895042.\nAnswer: 2, 11, 3313411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 14 + 6. Let y = 238\/9 - 26. Sort g, y, 5 in decreasing order.\nAnswer: 5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h + 9 = 33*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5*a + 675, -n + 299*a = 303*a - 123. What is the remainder when 260 is divided by n?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 less than or equal to -11\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 12:43 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 10:44 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 467 - 464. Let v = 28 - 20. Let n = v + -6. What is the second smallest value in d, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31411217 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: Suppose 4*n = -x + 1517, 0*x - n = -2*x + 3016. Calculate the remainder when x is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -1, -331119 in decreasing order.\nAnswer: -1, -23, -331119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 3) to base 9.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 5*q - 2. Let r be y(6). Suppose 0*h + 10*h = -r. Which is the smallest value? (a) h (b) -0.02 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/10 and 79\/412760.\nAnswer: 412760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34\/7 - -2032\/427. Is 0 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250\/(-5400)*-81*10\/(-3)*12\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/35 (b) -0.09 (c) 749\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 57. Suppose o + 4 = 3*h, 6 = -o + h + r*h. What are the prime factors of 602\/21 - o*2\/6?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d = 3*f + 11*d - 3, 0 = -2*f - 2*d - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -2*t + 8, 2*w + 7*w + 3 = -2*t - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/126 and 73\/2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(272) + -3)**2 + (sqrt(272) + sqrt(272)*-3 + -1)**2 + -3)*-6.\nAnswer: -21258 + 336*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (2 + 0 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*1 + sqrt(198) - sqrt(198))\/sqrt(11)*2)\/(sqrt(576)\/sqrt(6) - sqrt(150)*-2) + 1.\nAnswer: sqrt(3)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 11*b**2 - 9*b + 122. Let f be s(10). Calculate the highest common divisor of f and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -35 - (-85 - -50) - 108?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3 - 24\/(-18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39099.561 and 3.0284.\nAnswer: 39102.5894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*s = -34*s + 149*s + 1212 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -44*v**2 + 9138*v + 2903. Give x(208).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*n = 61*n - 10148 + 752 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (10 + -2 - (211 + -208)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 2:28 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30107 and 522928.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17933 + 17935. Solve 0*r - r = -2*q + f, -4*r + 14 = 3*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 + b + 155. What is p(-12)?\nAnswer: 719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 0*w**3 + 4*w**3)*(0 + 4 - 1).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 7*m + 239 = 0, -r + 6*r - 130 = 4*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 109*k - 81. Calculate s(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 + 0*q**2 + 0*q**3 + 141 + 2*q**2 - 284 + q to the form b*q**2 + x*q**3 + y*q + a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, 0, 30, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-9))\/d)\/(d**(-1)*d)*d*d\/d**0*d**2*d*(d**(2\/13)*d\/(d**(3\/5)*d))\/(d**5\/(d**(-6)*d)) assuming d is positive.\nAnswer: d**(231\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a - 4*a, -5*c + 14 = -2*a. Suppose 0 = -2*h + 6, -24 + 9 = -c*j - 3*h. Suppose -f - 2*f + g + 3 = 0, j*f + 3*g = -9. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 422*w + 254*w + 894 - 13062 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89324*u**3 - 170681*u**2 + 2*u wrt u.\nAnswer: 535944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 8. Let g be 282*(-1 + (f - -5)). Let y be (2\/3)\/((-2)\/g). Round y to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 1. Let v(w) = -w**3 + 4*w**2 - 5*w - 2. Let p(l) = -2*j(l) - v(l). Let b = -1 + 24. Let h = 27 - b. What is p(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 9 + 51. Suppose -8*w - 3972 = -m*w. Is (-4)\/(-8)*w\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100202122212 - 2?\nAnswer: 100202122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -448, -1748, -3916, -6952, -10856, -15628, -21268?\nAnswer: -27776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8975.6694 - 8694.65. Let z = -281 + s. What is z rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -300611580 divided by -201\nAnswer: 1495580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/16660179 and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 7. Let f be b(7). Let z = f + 15. Let j be -2*(-2)\/(-4) - z. Solve 0 = j*g - 6 - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Suppose 15*h - 14*h = f - 1, -2*f = -4*h. Let t(x) = -5 + 2*x - 2 - 9*x. Let i(m) = f*b(m) + t(m). Let o(n) = -3*n - 4. Give -4*i(a) + 7*o(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8481209818 - -60\nAnswer: -8481209758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*t + 18 = 0, -3*b = 2*t - 3*t - 22. Let o be 3\/b*(-8)\/(-12). Factor 6\/7*s + o*s**3 + 2\/7 + 6\/7*s**2.\nAnswer: 2*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8 + b + 2*b + 7 - 22 + 8. Let w = 89 - 93. Give f(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209.7*-79.\nAnswer: -16566.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 11:26 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 13 = 15. Suppose 5*r - l = 1483, -3*r - 5*l = -h*r + 311. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*1 - (33 + -7))*1. Which is bigger: w or -256\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v. Let q(u) = -u**3 + u**2 - 7. What is q(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and 2243.\nAnswer: 40374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2145438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + d - 1. Let k(c) = -6*c**2 - 7*c + 6. Calculate k(y) + 6*q(y).\nAnswer: -12*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(17)*-1)**2 - (-1 + sqrt(272)).\nAnswer: -4*sqrt(17) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 50?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -70, -116, -190, -298, -446, -640, -886?\nAnswer: -1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.3 - -3.3. What is the third biggest value in -1\/3, a, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 - 4*s - 8. Let w(u) = -4*u**2 + u. Give t(z) + 2*w(z).\nAnswer: -11*z**2 - 2*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -12214845*v**3 + 109996125*v**2 - 562760*v + 720 = 0.\nAnswer: 4\/1563, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*z**2 + 846*z**2 - 414*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 333.94293 to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 10518314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times 34.671\nAnswer: 3.12039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in centuries?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 27*z**2 + 16*z + 272. Let r be j(26). What is the highest common divisor of 1782 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 2:54 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1845\/(-246))\/((-27)\/(-126))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**4 + 684*g**3 - 675*g**2 - 1362*g = 0?\nAnswer: -1, 0, 2, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.5? (a) 1.4 (b) 0.3 (c) 3527 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a - 214. Calculate d(-24).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 31506*i + 31505*i + 57 = 0, 3*d = -i - 41 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 36*x - 39. Calculate i(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wksbwk. What is prob of picking 1 k and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/12)\/((-1)\/(-2) - 1). Let l(m) be the first derivative of -1\/2*m**2 - 3 - m**4 + 0*m - d*m**3. What is l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*d - 32 = 0, 2*g + 5 = 7*g + 2*d. Solve g*l + 2*l = 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24883.029421 - -24883. Round h to four decimal places.\nAnswer: -0.0294","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96233.7 nanometers to micrometers.\nAnswer: 96.2337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/318 and -1\/15.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -14. Let g(s) = 5*s - 12. Let v be ((-4)\/3)\/(3\/(27\/(-4))). Let r be g(v). Solve -16 - 2 = -b + y*o, -r*b - 26 = 5*o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = 17671 + 17379. Which is smaller: 5\/4 or b?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14*o**2 + 2. Determine g(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11 = -3*q + 2*q, -5*r = 3*q - 1. Let g(v) = -v**r - 10*v**2 + 13*v**2. Let i(u) = u. Let f(l) = -l. Let k(o) = f(o) - 6*i(o). Give k(g(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-1)))**(-5\/14)*t**(2\/7)\/(t\/(t*t\/(t*t**4)*t*t)*t*t*t))**(-28\/3) assuming t is positive.\nAnswer: t**(142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 5*j + 12. Suppose -j*n + 68 = -2*n. Find the third derivative of 19*d**4 - n*d**4 + 0*d**2 + 7*d**2 wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134 = t + 5*n, -2*t + 211*n = 206*n - 137 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2655*s - 14 + 86 + 751*s - 72 + 1 - 1 + 2*s + 0 + 0 - 2*s + 0*s + 0*s - s + (-2 + 1 + 3)*(-2*s - 3*s + 3*s) as f*s + i and give f.\nAnswer: -1909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3376\/422*1\/56.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 57*d**2 + 5*d - 2406. Let m(a) = 227*a**2 + 22*a - 9624. Let v(b) = 4*m(b) - 17*q(b). Differentiate v(l) wrt l.\nAnswer: -122*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 18*x - 67. Let n be (-98)\/(-12) - 2*1\/12. What is the units digit of r(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**1)\/l*l\/l**(-34)*(l**(1\/35)\/l)\/((l\/(l*l\/(l*(l\/(l\/(l**(-11)\/l)))\/l))*l*l)\/l) assuming l is positive.\nAnswer: l**(1576\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/60 - d**5\/30 + d**4\/12 + 4*d**3\/3 - 3144*d**2 - 2*d - 2. Give j(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71041196, 71041205, 71041220, 71041241, 71041268?\nAnswer: 71041301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*a. Solve 3*g = -3*v - 3, a = -2*v - 2*g - 3*g - 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Let a(u) = 23*u - 754. Let h(m) = -31*m - 587. Let y be h(-20). Let x be a(y). Solve j = c*j + x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*2*(1*-20)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -6*k + 44. Let t = 6 - 19. Let p = t - -24. Solve 3*a = k*s - 3*s - p, 3*s - 3*a - 21 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -2*u**3 - 49*u**2 + 24*u - 2. Let v be y(-10). Which is the biggest value? (a) 2\/9 (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -410, -189, -8, 127, 210, 235?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 640*z - 70387. Let p(g) = -5*g**2. Determine j(p(k)).\nAnswer: 50*k**4 - 3200*k**2 - 70387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5 + 243*s**4 + 1752*s**3 - 13572*s**2 + 18144*s = 0 for s.\nAnswer: -72, -14, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 21*t**2 - 38*t - 105. Determine r(-19).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4, 3*d - 996*b - 12 = -999*b. Which is bigger: d or -2\/15855?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.26 - 0.74. Which is the nearest to k? (a) 3 (b) -2\/13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or -68?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 9 - (-26 - -24) - -4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 + 1.3. Which is the third smallest value? (a) s (b) -0.4 (c) 3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 21*j**3 - 10*j**2 + 8*j - 5. Let z(s) = -19*s**3 + 8*s**2 - 8*s + 4. Give -4*l(m) - 5*z(m).\nAnswer: 11*m**3 + 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - -772. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/186)\/(109\/(33354\/255)).\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5393787.47 rounded to the nearest one hundred?\nAnswer: -5393800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-7)\/(-56))\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 6 + -13 + -9 + (4 - 8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 138*p + 6897. Let h be n(-50). Let g = 2 + -1.6. What is the second smallest value in h, 2, g, 10?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33227?\nAnswer: 149, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - ((-2)\/(-6) - 2\/(-3)). Let y(f) = -8 - s + 2 - 6*f + 3. List the prime factors of y(-10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(((-884)\/(-65) - 14)*15\/(-18)). Put -14, 2, -59, n in ascending order.\nAnswer: -59, -14, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(11) - (sqrt(99) - (sqrt(99) - (sqrt(99) + -1)))).\nAnswer: -2*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**4 - 4*a**3 + 12*a**2. Let s(x) = x**4 + x**3 - x**2. Let q(w) = -p(w) - 4*s(w). Find the third derivative of q(r) wrt r.\nAnswer: -192*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**3 + 8. Let c(w) = -4*w**3 - 7. Calculate 6*c(i) + 5*x(i).\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j + 9. Let v be k(-3). Suppose 4*s - f - 485 = v, 2*f = 4*s + 3*f - 491. What is the remainder when s is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.4, 0.5, 1\/10 in increasing order.\nAnswer: -15, -0.4, 1\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 2*g, -3*g + 3 + 0 = 2*u. Let h(w) = -4*w - w**3 + 6*w**2 + w + 5*w. Let q be h(6). Solve -o + q = u*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 4*o - o. Let b be -18 + (-132)\/(-12 - -6). Let d(f) = o*f + b*f**2 - 1 - 24*f + f. Let g(v) = -5*v**2 + v + 1. What is -4*d(m) - 3*g(m)?\nAnswer: -m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330469, 330467, 330465, 330463, 330461?\nAnswer: 330459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 6517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 451 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 3\/2 (c) -0.05 (d) -3\/5 (e) 0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 4*p**2 + 3*p - 6. Suppose -5*f + q = -21, -4*f + 5*q - 1 + 22 = 0. Calculate the lowest common multiple of 21 and z(f).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 86*r - 1945. List the prime factors of t(-79).\nAnswer: 2, 5, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 861 + 17*l - 861.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1342 - 2497 - 4161 = 500*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*l + 6*l. Suppose -88 = l*m - 11. Is (-3286)\/(-4) + m\/22 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212 = -3*q - q + 6*d + 176, -2*q = -2*d + 22 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*p - 4 = -3*g, -4*p - 6 = 3*g. Let s be 1*g + 49\/21. Let u be (-1 - 34\/(-4))\/6. Sort s, u, -4.\nAnswer: -4, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 6*f)*(-155 + 83 - 175)*(4*f - f + 3*f).\nAnswer: -2964*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2. Let l(y) = -40*y**2 - 181*y. Give l(b(x)).\nAnswer: -360*x**4 - 543*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -348\/17 - -12129\/595. Let k = 44\/105 + p. Suppose 2*z = 5*q + 33, -23*z + 20*z + q + 4 = 0. Sort k, 1, z, 0.4 in decreasing order.\nAnswer: 1, 0.4, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -30. What is the second derivative of 9*d**3 - 9*d**3 + a*d + 2*d**4 wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-6)*(-33)\/(-121)*1\/1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7898897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48660162 and 80020?\nAnswer: 486601620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddavavdddd. What is prob of picking 1 d and 1 v?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 153*x - 29*x - 277 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a = 0. Let y = -22 + 36. Suppose a*m - m = -y. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 + (-6)\/((-48)\/(-22)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 72*r - 52 - 7 - 144*r + 79*r. Let y be z(8). What is the second biggest value in 7, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j - 9. Let f(b) = -2 + 14 - 110*b + 55*b + 46*b + 6. Give -4*f(p) - 7*y(p).\nAnswer: p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 324 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -26*c + 13*c - 25*c - 3*c - 17. Let x be b(-4). Suppose -3*o = -x + 30. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + -2*sqrt(1331) + sqrt(1331) + (-2*sqrt(1331)*2 - (-5 + -2*sqrt(1331)))**2)*-2.\nAnswer: -10704 + 462*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + 53*x - 5 - 1 - 3.\nAnswer: 48*x - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, n: 3, u: 3, c: 1}. What is prob of picking 1 d, 1 c, and 1 n?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 101\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 953*m**5 + 307*m**2 - 130*m**2 + 614*m**2 + 260*m**2 wrt m?\nAnswer: 57180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 23*y**2. Let r(j) be the second derivative of -j**5\/60 - 30*j**2 - 10*j + 4. Let n(u) be the first derivative of r(u). Give n(s(t)).\nAnswer: -529*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11171 (base 8) to base 9\nAnswer: -6434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -50?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 638207889 to the power of 1\/2, to the nearest integer?\nAnswer: 25263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*u = 3*k - 60, 5*u - 10 = k. What is the highest common factor of k and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(1\/2)*w)\/(((w**(1\/2)*w)\/w)\/w))\/((w**(4\/5)\/w)\/(w**(2\/9)*w)))\/(w**(3\/4)\/(w\/(w\/(w\/w**(-4))))*(w**1*w)\/(w**(-1\/7)*w)) assuming w is positive.\nAnswer: w**(9487\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - -2. Let y be 62\/t + 21\/(-49). Differentiate -19 - f**y + 18 - f**4 with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (7 + -11 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 6 - 4. Is b smaller than 2\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 6. Let r = s + -4. Suppose 0 = -4*b - r*o + 1627, -5*b + 0*o = 3*o - 2036. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -l + 25, 4*l - 16 - 4 = 0. Suppose 0 = -h*i - 2*f + 214, -3*i + 205 = -2*f + 34. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**2\/3 - 426069800*y\/3 + 9076773723602000\/3 = 0. What is y?\nAnswer: 42606980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, c: 4, k: 2}. Give prob of sequence cvcv.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1558 + -752. List the prime factors of z.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen halves of a week?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12772393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 202154 and 11660.\nAnswer: 1178557820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*h**2 + 57*h + 10*h - 82*h**2 to k*h**2 + u*h + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42.1 + 42. Which is the closest to d? (a) -6 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(-20)\/(-2)*9\/5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 11, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/35 - 2\/(-14)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 5*k**3 + 2*k**3)*(4 + 0 - 1)*(-2*k**2 + 7*k**2 + k**2).\nAnswer: -90*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*u = 58*u - 5*n - 2605, -3*u - 5*n = -1555. What is the highest common factor of 832 and u?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 11. Suppose 3*w + 8 = 146. Calculate the remainder when w is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 - 8*k**2 + 4*k + 1. Let j(z) = -21*z**3 + 54*z**2 - 27*z - 6. Determine -27*h(o) - 4*j(o).\nAnswer: 3*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-140)\/(-84) - (-2)\/6. Let i(t) be the third derivative of t**5\/60 + 5*t**4\/24 - t**3\/6 + t**2. Let k(z) = 2*z**2 + 6*z - 2. Determine s*k(b) - 3*i(b).\nAnswer: b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - r + 5. Let w be 6\/2 + 0 + -3. Let q be y(w). Suppose -64 = -2*n - 4*z + 56, -230 = -q*n + 4*z. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -914*m**2. Let r(u) = -u**2. Determine c(r(n)).\nAnswer: -914*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78164869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4236430206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1 (c) 8.7 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264258133 + 0.6?\nAnswer: 264258133.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 - 3*k**3 + 5*k**3 + 4*k - 4*k - k**3 + (8*k - 4*k + k)*(0*k**2 + 0*k**2 + 2*k**2).\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -57, -25 in descending order.\nAnswer: -0.2, -25, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -7, 4\/7, -2\/7, -3, -3\/8 in descending order.\nAnswer: 4\/7, 0.06, -2\/7, -3\/8, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + 15*h**2 - 9*h + 11. Let m be y(-8). Solve 4*i - 3*o - 24 = 0, 0*o - o = -5*i + m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 4*j - 6 = -14*b, -4*j = -3*b + 21. Let x(s) be the first derivative of -8\/3*s + 7 - s**2 + 2\/9*s**b. What is t in x(t) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 92*v + 1. Let f(a) = 2747*a + 2755*a - 11012*a + 2753*a + 2754*a. Determine w(f(h)).\nAnswer: 9*h**2 - 276*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -6267 = 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59286, 118604, 177916, 237222, 296522, 355816?\nAnswer: 415104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 851011896 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(-1\/6)\/n*n*n))*n**8)**(1\/16)\/((n\/(n**(-2)*n))**(-48))**(2\/17) assuming n is positive.\nAnswer: n**(19435\/1632)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-20)\/((-90)\/(-9)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -354\/7 - -51. Suppose -5*v = -2*m + 32, 0*m + 42 = 5*m - 3*v. Let u be (4\/m)\/(4\/(-6)). Is h greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200670 (base 10) to base 7.\nAnswer: -1464021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 0*m + 4*m)*(-m**2 + 1 - 1) + 119*m**2 - 119*m**2 - 9*m**3.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 814293 (base 11) in base 8?\nAnswer: 4774055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + 1177. Let y = a + -19843\/16. Let t = 1909\/330 + 35\/132. What is the common denominator of y and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-39 - (-149 + 14)) - -2?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 64584*i**2 + 8*i. Let m be l(-12). What is m rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 9*j. Let t(d) = -9*d + 10. Let w(k) = 2*k - 2. Let x(p) = t(p) + 5*w(p). Determine x(b(f)).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -461, -355, -57, 529, 1499, 2949, 4975, 7673?\n\"Answer: 16*w**3 - 6*w - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 + 2*k**3 - 7*k**3.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 5)*(5 - 2 - 1)*(-2 - 2*m + 2)*(-1 + 0 + 3) - 207 - 52*m + 207 to the form l*m + n and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/98? (a) 4 (b) -2\/9 (c) 5 (d) 0.333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + 300?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 18*b - 6. Let p(s) = 17*s - 6. Let n(h) = 6*c(h) - 7*p(h). Let v(g) = -10*g + 5. Determine -5*n(w) + 6*v(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 18*c**2 + 15*c + 34. Let a be d(17). Suppose 11*b - 17978 + 2501 = a. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32983?\nAnswer: 32983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (sqrt(242)*2 + sqrt(242))*-5).\nAnswer: -330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1386 = 5*y + 4*i, -3*i - 675 = -3*y + 135. Let j = y - 276. Let p(c) = 6*c + 2. Let s(b) = -25*b - 9. Determine j*s(o) - 9*p(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/5 and -40\/583.\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 361, 3 in ascending order.\nAnswer: 0, 3, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 2:47 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1100018 - -3.11. Round j to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4481608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/810 and -95\/18.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**3 - 11*y**3 + 17*y**3 - 11*y**3 + 47*y**3 - 18*y**3 - 10*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*5*5)\/sqrt(10) + 3.\nAnswer: 3 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + d**2 + 4358*d + 8713. What is a(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85911868 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 845.\nAnswer: -844.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 2}. What is prob of picking 1 x and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 24*o**3 + 8*o**2. Suppose 2*l + s + 27 = 6*l, -5*s + 25 = 0. Let d(c) = 8*c**3 + 3*c**2. What is l*d(w) - 3*q(w)?\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6898379*b**2*i + 2*b*i + 25*i - 85981 wrt b?\nAnswer: 13796758*b*i + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 416989*v + 4169909. Calculate r(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(-5*sqrt(121) + sqrt(121)))\/(sqrt(704)*-5).\nAnswer: -1 - 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*u + 5*u**2 - 9*u**2 + u**2 wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 20 = -5*h, -8 = -h + 3*z + 4. Put -4\/7, 0.1, h in decreasing order.\nAnswer: 0.1, -4\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-16\/7)*v)*v**(-15)*v*v*v assuming v is positive.\nAnswer: v**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 - 20*n - 48. What is q(-6)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + 2*z + (3 - 2 - 2)*(-2 - 2*z + 2) + 3*z + 0*z - z - 6*z + 5*z - 6*z - z - 1 + 1)*(0 + z + 0).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2845, -3350, -4185, -5344, -6821, -8610, -10705, -13100?\n\"Answer: y**3 - 171*y**2 + y - 2676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8741 + -8660. Calculate the greatest common factor of b and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9088 rounded to two dps?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-four fifths of a millennium?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1566)\/(-144))\/29 - 17748\/(-544).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6.0083099 * -5\nAnswer: 30.0415495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 14*q. Calculate a(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 56*n + 199. Let p be z(-3). Suppose -2*f + 100 = 3*f. Let c = p - f. What is the remainder when 41 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -860175 divided by 19115?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z - 2*s + 770, 0 = 4*z - 2*s - 782. Suppose 2*x = -3*t + 230 - 30, -4*x - z = -3*t. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 9. Let i be z(-4). What is the smallest common multiple of 7 and i\/(-2) + -2 - (-23)\/2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/44 in -0.1, -3\/7, 2\/7, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 - 129. Solve x + x = -i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 7) to base 12.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*d + 46. What is the lowest common multiple of d and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*w - 13, d + 3*w = 4*d + 3. Let n be (-5)\/d*(14 + -11). Is (-24586)\/(-8) - n\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3261, 2298, 685, -1584, -4515, -8114, -12387?\n\"Answer: -y**3 - 319*y**2 + y + 3580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, -1002\/7, 0.6?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 288 = -2*t - 2*t, 0 = -3*t + 5*u + 181. Suppose q - t = 5*h, -3*q - 71 = -5*h - 222. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 1847 = 2*z + 6165, 2*z = -5*m + 7988. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 2720\/13 (b) 2 (c) -2\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-l + l - l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (0 + (8 - 7) - -4) + (-15 - -41)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199493 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1420 + -1420.0000001167. Round t to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 2*f + (105 - 26*f - 105)*(-5 + 4 - 3) - f - 7*f + f in the form w + n*f and give n.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 6*c**2 - c. Let j be a(6). Let k = 28 + -6. Let l = j + k. Solve -3*z + 7*z = -l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/5, 5, -4\/3, -20 in ascending order.\nAnswer: -20, -4\/3, -2\/5, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8970 divided by 5?\nAnswer: -1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 17. Let k = p + -3. Which is the third biggest value? (a) -0.5 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 10*h - 17. Suppose 0 = 5*f - 4*f + 2*x - 11, -2*x - 24 = -4*f. Let z be b(f). Let p be z - 17\/(-2)*2. Which is smaller: p or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1573)*2)**2 - ((sqrt(13) + -3)*-2 + 0))*6.\nAnswer: 12*sqrt(13) + 339732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llcplqcfhlpqcplqchcl. What is prob of picking 2 h and 1 c?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9071, 18141, 27211, 36281?\nAnswer: 45351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2714 + 3654. Calculate the remainder when c is divided by 113.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 e, and 2 c when four letters picked without replacement from ecfkxkkbcxfe.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2478 + 4847\/2. Let k = v - -56. Are 0 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(10\/(-180))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4777 times -0.08311\nAnswer: -397.01647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5359\/32190 - -1\/5365. Which is the closest to -2? (a) 2 (b) k (c) -1\/12 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1649330 and 7878?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-14))\/(2\/(-7))*-84. What is the highest common factor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*(sqrt(5) + (sqrt(60)\/(-1*sqrt(12)))**2 + 0) + -1)*5.\nAnswer: 20*sqrt(5) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7185 + 7181. Which is the fifth biggest value? (a) 9.1 (b) 2\/11 (c) g (d) -0.3 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let g(n) = 3 - d*n - 2 + 5*n. Let i be g(-1). Solve 7*x - 4*x - 6 = i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s + 20. Suppose 0 = -2*j + 8*j - 24. Suppose -f - j*i = -7, f - 10 = -5*i - 3. What is the least common multiple of s and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 5. Let a be j + 4 + 6\/3. Let v(d) = d + 3*d - a*d. Let n(i) = 3*i**2. Determine n(v(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z + 16*z + 40 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-6) + 1)\/(43\/(320 + -62)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4639 - 4623. Solve 2*s = 5*g - 6*g - 5, -s - q = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-5973)\/(-220))\/(38 - -592) and -1\/15.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 2*s**2 - 3*s**2)*(-5*s**3 - 7*s**3 + 2*s**3) + (2*s**2 + 0*s**2 + 0*s**2)*(287*s**2 - 12*s**3 - 287*s**2).\nAnswer: -44*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**2 - 304*z - 23. What are the prime factors of u(-20)?\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c3707c (base 13) in base 4?\nAnswer: -101120132021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 470 and 33910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2)\/4 + (-542)\/(-4) - (-5323 - -5336).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000091824 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15322 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d160 + -55?\nAnswer: -d1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = 4, 5*u - 2*i - 23 = 0. Suppose -25 = -u*s + 2*w, -4*s = s + 3*w. Suppose -2 = b - s. What is the greatest common divisor of b and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77282*y - 153173*y + 75892*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290 - 1521*g + 290.\nAnswer: -1521*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54910, -109774, -164590, -219352, -274054, -328690?\nAnswer: -383254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -3. Let l = 6 - n. Let r(s) = -161*s**3. Is r(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 8*q**2 - 7*q - 10. Let b be n(7). Let y be (-3)\/9 + b\/6. Let k(t) = 8*t**2 + 2*t - 2. List the prime factors of k(y).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 + 142 = -5*o. Let q = -85 - -108. Solve -o*h - q = 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**4\/12 + x**2. Let w(g) = 4*g**2 - 3652 + 3652. What is h(w(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157387, -316512, -475637, -634762, -793887, -953012?\nAnswer: -1112137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/34580 and -18\/455.\nAnswer: 34580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 17*u - 15*u. Suppose -2*f - u*f = 126. Let z = -15 - f. Solve -2*v = z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -85*h + 453. Calculate x(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnsssnrtskknrsnrsks. Give prob of sequence rst.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 163483*f**3 - 2*f**2 - 4*f + 9. Let g be p(4). Let b = -15722873 + g. Round b to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**3 + 13*a**2 + 7*a - 5. Let t(p) = -7*p**3 - 14*p**2 - 8*p + 4. Let o(f) = -5*t(f) - 6*w(f). Let l = 24 + -32. What is the tens digit of o(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-684)\/15)\/(7*4\/(-70)) is divided by (-616)\/(-49) - (-9)\/21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b*b**(-1))*b)**(-11)\/(b**(-1\/3)\/b*b)**(3\/4) assuming b is positive.\nAnswer: b**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.9 + 1.9. Let t = k - -5. Let n = -1\/133 - 8\/19. Which is the third smallest value? (a) n (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0048032 rounded to 5 decimal places?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -11 - (-69 - -58)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 528860094 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789234930?\nAnswer: 2, 3, 5, 11, 797207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v - 32*v = 32*v. Let n(o) be the second derivative of 0*o**3 + 0 + v*o**4 + 11*o - 7\/2*o**2 + 1\/2*o**5. Differentiate n(r) with respect to r.\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/14)\/((-2)\/4). Let p(m) = -m**3 - 2*m**2 - m - 1. Let b be (-9)\/7 - (-4)\/14. Let u be p(b). Which is bigger: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 597.8 (b) -6 (c) -7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*j + 353. Let n = j - -74. Is n a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 2, -0.3, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 147*q**2 + 15*q + 10. Let z(s) = 219*s**2 + 22*s + 16. Calculate -8*g(a) + 5*z(a).\nAnswer: -81*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 795 - 337. Round k to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + p = 32, 0 = -3*l + 21*p - 22*p + 96. Solve -l*z = 94 + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.45 + -0.05. Let y = 0.3 - m. Let q = 2.73 - 2.63. What is the nearest to -0.08 in y, q, -3\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.619 + -12.619. Sort j, -35, -129.\nAnswer: -129, -35, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -63, -166796?\nAnswer: -166796","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*s - 4 - 0, s = q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2564047049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m + 28. What is k(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326 by 1.\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-5) + 6\/15. Suppose t*w = 7*w + 5. What is the third biggest value in 4, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from {f: 5, q: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - q = 11, -1 = -q + 2*q. Is 19*(-1 - (-14)\/w) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:57 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -6\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y + 5. Let x be d(-7). Suppose x = 5*t - 26. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - l - 6*l**2 - 2*l + 3*l. Calculate r(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (0 - -9) + -2. Let k = -0.2 + 0.2. Let z = k - 2. Which is the nearest to 0? (a) -3 (b) z (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 3:27 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + 3*f**2 + 14*f**4 - f**2 + 6*f**4 - 7*f**4 + 1 to v*f**4 + r*f + d*f**3 + h*f**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 4008\/(-288) + ((-6)\/8 - 0)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76412.38 litres to millilitres.\nAnswer: 76412380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 365398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6226265, -6226261, -6226257, -6226253, -6226249?\nAnswer: -6226245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(12\/42)*(-3)\/(-14). What is the nearest to -1 in 5\/2, -13, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113203 (base 4) to base 7\nAnswer: -4252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 6:04 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4*o + 17 + 183, 3*o = -q + 44. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {k: 4, y: 6, h: 5}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/((-12)\/3)*5*6\/(-30).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/(-98))\/((-48)\/1064).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/8941 and 4\/5.\nAnswer: 44705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**5\/20 - w**4 + 7*w**3\/6 + 4*w**2 + 26*w. Let b be i(11). Let h = 45 + b. What is the lowest common multiple of 11 and h?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 3*o - 12 = -7*g, 4*o - 16 = 3*g. Which is smaller: -1\/962 or g?\nAnswer: -1\/962","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -26*m**3 + 91*m**2 + 19*m + 17. Let y(u) = 23*u**3 - 83*u**2 - 19*u - 17. Let n(h) = -8*t(h) - 9*y(h). Give n(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002732485 to seven dps.\nAnswer: 0.0002732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 94, 797, 2698, 6397, 12494, 21589, 34282?\nAnswer: 51173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = 6*q. Suppose 0 = 5*s - 3*g + 108, -q*g + 31 + 34 = -3*s. What is the units digit of (27\/s - (-6)\/21) + 187?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 - 32*s + 75. Calculate t(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83695?\nAnswer: 5, 19, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3 - 105*h**2 + 391*h + 1170 = 0. Calculate h.\nAnswer: -117\/4, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 3*b - 18 - 1, 2*m + 37 = 5*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210340 is divided by 70104?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/5 and 17\/181.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 965*j - 704682. Determine o(882).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2 - 5. Suppose -23 = -3*x + 5*y, 0 = 2*x - 4*x - 5*y - 18. Let q be (-88)\/(-42) - (x - -1). Is o < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*m - 205*m + 1242*m = 39773 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 9, j: 3, i: 4}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110 by -1.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 3*v**2 - 2*v**2 - 4 - 2*v**2 + 2*v**2. Give u(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -87, -437, -1157, -2367, -4187, -6737?\nAnswer: -10137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -33 + 7. Let p = 16 + o. Let q = p + 1. Solve q*m = 4*u + u - 25, -5*m - 10 = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -7. What is the least common multiple of 9 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 + 2 + -3 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 4, 2, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 7 = 25. Let w = 2699 - 13548\/5. Find the common denominator of 149\/f + (-4)\/8 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 307*o**2 + 3465*o + 10479. Give b(318).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10\/(-5) - (-22)\/2 and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f - 75*f - 131*f + 6506 = 16145 for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*j = 13, 2*f + 30 = 4*f + 4*j. Suppose -f*b = -6*b - 3*h + 3, 5 = 3*b - 2*h. Put -2, b, 5 in ascending order.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 3*k**2 + 4*k + 6. Let p be n(-4). Suppose p*o = 3*o - 6. Let l(s) = -3*s. Is l(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*u + 0)*(-262*u - 173*u - 15*u)*(-3*u + 2*u - u)*(u + u - 7*u).\nAnswer: 13500*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b61c33 (base 13) to base 14.\nAnswer: -7cc5d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 3*x**2 + 2*x. Let y be p(-2). Let w be 2\/(-30)*(-60)\/126. Let t = 44\/63 - w. Do t and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 562247.\nAnswer: 2811235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/105149?\nAnswer: 2\/105149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2578561*m**4 - 363614*m**2.\nAnswer: -61885464*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k - 232. Let a be p(-38). What is the closest to 1 in -1\/4, 1\/5, 3, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfiiippppppfpffp. What is prob of sequence fp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.6 (b) 3 (c) -0.039 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1488 + 28791.2.\nAnswer: 27303.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 15*y = n - 20, 0 = 4*n - 3*y - 35. Let p(i) = -12 + 4*i**2 - 3*i**2 - 4*i + 0*i**2 + 0*i**2. What is p(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247655269.\nAnswer: 17, 353, 41269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 349.848 and 1.5.\nAnswer: 524.772","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 998. Let f(t) = 2*t + 1995. Let m(b) = -2*f(b) + 5*n(b). Let l be 0\/(4\/2 + -1). Let r be m(l). What is r rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18, 20, 22, 24, 26, 28?\n\"Answer: 2*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -180.1699 * -0.003.\nAnswer: 0.5405097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3516.293 nanometers in micrometers?\nAnswer: 3.516293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - l - 2 = 4, -2*p = -2*l + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + g**2. Let v be d(2). Let u be 1 + 0 - -13 - 7. Sort u, v, 3, -5.\nAnswer: -5, v, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -20 + 12 - (5 + 7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 40 = -4*j, 4*j + 6 = m + 2*j. Suppose -5*t + m*t = 72. Calculate the remainder when 129\/12 - 3\/4 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwonwwonnnwwo. What is prob of sequence nnnw?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 8533, 26 in decreasing order.\nAnswer: 8533, 26, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 - 150. Let s = j - -47. Sort s, 1, 1\/4 in descending order.\nAnswer: s, 1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420 (base 8) in base 2?\nAnswer: 10100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s**2 + 0*s + s + 0*s - 4*s**3 + 0*s. Is o(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-three eighths of a kilogram?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 61 and -6.9564?\nAnswer: -424.3404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {w: 2, l: 1, y: 1, h: 2, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15366084 is divided by 2210?\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3146 (base 7) to base 3.\nAnswer: -1112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.04631843\nAnswer: -0.04631843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 326805 and 3812725?\nAnswer: 11438175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -z. Let b be (3 - -7) + -4*1. Let h be z + -40*885\/b. What is h rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 19*f - 2. Let n(y) = y**2 - 3*y + 15. Let h be n(4). Let a be u(h). Let q be (512\/(-6))\/(a\/(-10500)*2). Round q to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12576156\/223 >= 56396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17024, -17025, -17028, -17033, -17040?\n\"Answer: -j**2 + 2*j - 17025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/9*(-9)\/15?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 68 = -32. Suppose -t = -4*a + 40. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44352 - 44351 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -160, 5, 4 in increasing order.\nAnswer: -160, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j - j**4)*(-614 - 402*j + 614) + 4*j**5 + 3*j**5 - 5*j**5 + 4*j**5 - j**5 - 2*j**5 - j**4 - 3*j**5 + j**4.\nAnswer: 402*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/14 - 81\/(-21). Suppose -5 - 9 = -4*v - a, -j*v = -4*a - 4. Solve -4*c + 16 = -4*o, -v*c - 2*c = o - 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/14163 + 207742\/127467. Let w = 16193\/1062 - 444\/59. Find the common denominator of i and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -157 - -160. Which is the closest to 1\/7? (a) -3 (b) x (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 + 46*b**2 - 5732*b - 35608. What is r(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + j**2 + j - 2. Let s be r(2). Suppose 4*d + s = 0, -3*o - 28 = -o + 2*d. Let f = 29 + o. What is the greatest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 13 - 611*r - 3*r**2 + 632*r. Let o be n(11). Solve -6*m - 4 = o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 - 368*z**2 + 6*z - 6. Let k(l) = 7*l**3 - 733*l**2 + 11*l - 11. Determine 6*k(o) - 11*s(o).\nAnswer: -2*o**3 - 350*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*g = 2. Suppose -g*f + 79 = -2*i - 13, -2 = i. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-7))\/(-3)*(-5)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57876 is divided by 27992.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2021*n**4*q + 10350*n**4 - n**2*q - 37*n**2 + n*q - 331*n + 3*q - 5 wrt n?\nAnswer: -48504*n*q + 248400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -3\/65 (c) 3\/8 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5415089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 4*c**2 - 12*c + 2. Let g(s) = 2*s**3 - 3*s**2 + 11*s - 2. Let a(u) = 7*g(u) + 6*h(u). What are the prime factors of a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -128 + 136. Calculate the lowest common multiple of s and 21\/4 - 1\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 13. Let a(h) = -2*h + 40. Determine 2*a(o) - 7*d(o).\nAnswer: 3*o - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1270*c**3 - 2315*c**2 - 27*c + 9. Let t(q) = 318*q**3 - 579*q**2 - 6*q + 2. Let j(k) = 9*t(k) - 2*y(k). Find the third derivative of j(b) wrt b.\nAnswer: 1932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74479?\nAnswer: 71, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -172 or -175?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 132241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -605*o + 591*o - 294 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poeomvhvoeehpop. Give prob of picking 1 h and 2 v.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0513244012 to 5 dps.\nAnswer: 0.05132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3288, -3292, -3282, -3264, -3244?\n\"Answer: -m**3 + 13*m**2 - 36*m - 3264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 282245981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 7*s**2 - 5*s + 5. Let q be w(-6). Let r = -3 - q. What is the units digit of (-373)\/(-15) + r\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**3 + 4*l**2 - 5*l + 2. Let a be s(1). Solve 0 = a*v + 3 + 25 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49161.\nAnswer: 3, 7, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 22*r + 21*r - 24 = 0, -5*h + 26 = r. Let x = 7.6 - -0.4. Which is the third smallest value? (a) x (b) 2 (c) h (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 27*x + 83. Calculate g(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**4 + 3629255*q**3 - 7258390*q**2 - 72584780*q - 87101880 = 0?\nAnswer: -2, 6, 725849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-3)*(-19)\/(-2). Let v = -827 + k. Let w be 0 + (v - (0 + 0)). What is w rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.054, -15.3, -184?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + 1.1. Let g = z + -0.4. Sort g, 2\/7, 1\/2 in decreasing order.\nAnswer: 1\/2, g, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*k + 0*k + 44 = 0, -3*g - k - 32 = 0. Let z be 3 + (-184)\/(-12)*2\/g. Which is the fourth biggest value? (a) -0.3 (b) z (c) 5\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(7\/21) + 770 + 1. Calculate the highest common factor of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 26. Let q be d(23). What is the fourth smallest value in q, -1\/3, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1395 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 924740 and 1017214?\nAnswer: 10172140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {c: 3, p: 2, e: 1, g: 1, r: 3, m: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 32 - 1. What is the remainder when g is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/10)\/(18\/45). Suppose -3*l + j - 2 + 0 = 0, -4 = -4*l - u*j. Sort 3, l, -5, 4.\nAnswer: -5, l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 137426+-90672\nAnswer: 46754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65043793 or 65043801?\nAnswer: 65043801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 25 - -26 - -37.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -10*s**2 + 943*s - 109. Let d(u) = 5*u**2 - 472*u + 47. What is -7*d(g) - 3*w(g)?\nAnswer: -5*g**2 + 475*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 72, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r + 0*r + 0*r. Let t(z) be the first derivative of 5*z**3\/3 - 191. Give m(t(y)).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-34) + ((-3132)\/68)\/(-9). Suppose s - 1848 = -q*s. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 2*c + 15. Suppose 0 = 5*p - 15 - 0. Is p > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 96*n - 72. Let p be k(-8). Let y be (-15)\/(p\/16) + (-36)\/(-21). Solve 5*l - 20 = 0, -4*l + 19 = y*r - r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4621213 to the nearest integer?\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + 1*(sqrt(228)\/(sqrt(12) + sqrt(60)\/sqrt(5)) - sqrt(19))) + -5)**2.\nAnswer: -15*sqrt(19) + 271\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 953258*y**3 - 9532*y**2 - 2*y + 13.\nAnswer: 5719548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4447?\nAnswer: 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 4. Determine x(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -101.34875 + -0.43377\nAnswer: -101.78252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257158823 is divided by 10507.\nAnswer: 10505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*-4)\/2*-2. Let m be (-258)\/(-54) + (-2)\/(-9). Suppose 3*q - 90 = m*p, q - 8 = -3*p + 8. Solve 0 = 5*a - q, 3*v = -0*v + 2*a - u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144178866 by -39.\nAnswer: 3696894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 5. Let a be (-3 - (-96)\/27) + -1. Is k != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482019 is divided by 947.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**2 - 6*r - 6. Let u(j) = -j**2 - j - 1. Determine -s(k) + 6*u(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (3 - 5)) + 2. What is the greatest common factor of c and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.66 + 2.54. Let s = 2.98 - t. Let k = 0.2199961 + s. Round k to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 2*z**6\/15 + z**5\/20 - 56*z**3\/3 - 5575*z**2\/2 - 5099*z. What is the derivative of n(s) wrt s?\nAnswer: 16*s**3 + 3*s**2 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8678*k*x*z + 4*x - 177*z wrt k?\nAnswer: 8678*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-11))\/(-2))\/((-29510)\/(-32461)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 23*l**2 - 24*l + 95. What is n(-22)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5098 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: What is 4207 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: Simplify (u**14*(u\/(u\/u**(-2\/11)*u*u))\/u)**36 assuming u is positive.\nAnswer: u**(4284\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 21 + 32)*(3*g + g - g)*(12 + 1 + 10) in the form x + i*g and give i.\nAnswer: 2001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 2*h - 6999 = 7*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-15))**(-2\/25) assuming i is positive.\nAnswer: i**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 8*d**2 + 7*d + 8. Let r be f(7). Let x = -4 + r. Suppose 16 + x = 4*s. Solve 41 = s*j + 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 1 - 12) + (-40 - 6 - (294 + -336)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-114)\/45*(-774)\/1376 and 51\/4636.\nAnswer: 46360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2. Let i(j) = 8 + 5 - 13 + 3*j**2. Calculate z(i(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15912002 divided by -274.\nAnswer: 58073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 2, 40, 1, -4, 3 in decreasing order.\nAnswer: 40, 3, 2, 1, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -13*x**4 + 71*x**2 - 75 + 18*x**4 - 226*x**2 - 69*x + 129 - 27*x**3 = 0?\nAnswer: -3, -1, 2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 195*y. Let b(k) = -2*k. Determine c(b(o)).\nAnswer: -390*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/15)\/((f*f**26)\/f*f) assuming f is positive.\nAnswer: f**(-407\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 6*s**2 + 7*s - 3. Determine h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 11684.\nAnswer: 105156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 1, 0, -16224, -1, 4 in ascending order.\nAnswer: -16224, -5, -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2857 - -8573\/3. Are -2796 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {g: 4, q: 1, i: 1, w: 2, b: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 371707 and -1.8?\nAnswer: -669072.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6151*d - 6239*d = -o + 1845, 120 = -5*o - 5*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(121)*2 - sqrt(121))*4)\/((-1*sqrt(121)*1 + sqrt(121) - sqrt(121) - sqrt(121))\/sqrt(11)).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -w + 3*w - 200, 2*w - 4*q - 224 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y. Let x(p) be the first derivative of p**5\/12 - 7*p**2\/2 + 6. Let h(s) be the second derivative of x(s). Give h(i(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + 0 + 0 + (4*n + 2 - 2)*(-3 + 2 + 0) + 3 - 3 + 2*n + 3 - 3 + n + 4*n - 6 + 6 in the form c*n + v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c + 4*u = -118, -2*c - 3*u = -111. What is the greatest common divisor of c and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17317 (base 8) in base 3?\nAnswer: 101211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -165 + 169. Let c = -4 - -7. Suppose d - 41 = z*b, 2*b - c*d + 24 = d. Which is smaller: -0.1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3280709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2\/7 - 32332740*r\/7 + 87117172992300\/7 = 0. What is r?\nAnswer: 5388790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1706*p + 1904 = -1842*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 44*t - 160. Let v be s(40). List the prime factors of (1 - v)*((1 - -848) + 3).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 v when three letters picked without replacement from {a: 2, v: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -10*r**2 + 4. Let f(j) = -1. Let w(h) = 2*f(h) + v(h). Let s(g) = 29*g**2 - 6. Suppose 21*y + 116 = -52. Determine y*w(k) - 3*s(k).\nAnswer: -7*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**3 - 10*t**3 - 2*t**3 + (-t - t + 4*t)*(-t**2 - 3*t**2 + 6*t**2) to the form b*t + i + y*t**2 + v*t**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 7*l - 7. Let v(f) = -3*f - 20. Let a be v(-5). Give r(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**8\/560 - w**5\/40 - w**3\/2 - 4*w. Let j(g) be the second derivative of m(g). What is the second derivative of j(u) wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -1169*t**5\/5 + 343*t**2\/2 + 988. Find the second derivative of c(s) wrt s.\nAnswer: -14028*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 20*m + 40. Calculate d(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-500)\/(-200))\/((2\/(-2))\/((-360)\/25))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v + 41. Let h be w(19). Suppose h*y = 12*y - 117. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:45 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u - 16. Let q = 211 - 118. Let p be q\/(-12) - (-21)\/(-84). Calculate j(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*w - 19860111 - 15463989. What is w rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*r + 37. Let o(w) = w**3 - 8*w**2 + 9*w - 5. Let i be o(r). What is the highest common factor of 189 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-8) - (-38)\/(-8). Let g(f) = -2*f - 5. Let q(o) = -o**2 - 7*o - 8. Calculate the remainder when q(-3) is divided by g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {n: 1, z: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a*p - 10*a - 13*g*p**2 + 145*g*p + 6*g wrt p.\nAnswer: 2*a - 26*g*p + 145*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 86 = -6. Let m be 0 - (l - (0 + 4)). Calculate the highest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 897. Let m(j) = -4*j - 4477. What is -11*h(y) - 2*m(y)?\nAnswer: -3*y - 913","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 112 = -17*d + 25*d + 155 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 21 = -3*w. Suppose w*p = 4*p - 3. Is p > -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -10*m**2 + 8*m - 8. Let p(a) = a**2 - a + 1. Let f(b) = -8*p(b) - r(b). Let g(v) = -116*v. Determine f(g(w)).\nAnswer: 26912*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22492\/9 - -2499. Which is the nearest to -1? (a) -1\/3 (b) -6\/7 (c) 0 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10091 - -10120. What is the remainder when w is divided by -1*3 + (-29)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21706157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*o**3 + 10*o - 10*o)*(-2 + 2*o**2 + 2) + (-3*o**5 + 6*o**5 - o**5)*(-3 - 2 + 9).\nAnswer: -30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 327*j**4\/4 + 259*j**3 + 408. Find the third derivative of u(h) wrt h.\nAnswer: 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1725*z + 5871*z - 1293*z - 1434*z)*(-1 + 2*z + 1) to i*z + w*z**2 + g and give w.\nAnswer: 2838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17017 divided by -77?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 10568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - 886 + 886 + t**3 to u + r*t + j*t**3 + f*t**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787194363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 2. Let y be u(-2). Let q be -5 + 10 - y\/(-2). Let j = 56 + -11. What is the greatest common divisor of j and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -136. What is the greatest common divisor of 44 and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b09 (base 16) to base 6\nAnswer: 52013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, and 1 m when three letters picked without replacement from {m: 1, p: 1, h: 1, v: 2, o: 2, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9*r**2 + 6*r - 3. Let j be z(-8). Let g = 1414 - j. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010110001111110001 (base 2) to base 16.\nAnswer: -963f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 219.7 + -214.7. What is the third biggest value in g, 0.7, 4\/7, -2\/5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Let d = 1 - -19. Suppose k = 4*o - 32 - d. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -30*c. Let b(h) = 2*h**2 - 3*h - 3. Let n(r) = -2*r**2 + 4*r + 4. Let d(z) = 4*b(z) + 3*n(z). Calculate d(w(i)).\nAnswer: 1800*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u + 32. Let t be f(4). Differentiate -40*h**4 - 276*h**2 + t + 276*h**2 with respect to h.\nAnswer: -160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 18*r**2 - 20*r - 4. Let h be 25*-2*8\/(-60)*-3. Let t be y(h). Is t\/(-1 - (-3 - -4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 22*y + 23*y - 60*y + 22*y - 13*y.\nAnswer: -6*y - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t = 110. What is the remainder when t is divided by -1 + (0 - (-13)\/1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 2*p - 1. Let i be t(5). Let h = -20 + i. Let n = 69 + h. What is n rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*o - 20. Let x = 28 - o. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + -12?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**2 - 8*p**2 - 2*p**2 - 8*p**2 + 5*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -2*(-1*(6*(sqrt(125) + -3) + -2) + -2))*3)**2.\nAnswer: -39960*sqrt(5) + 174321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.3, -205, 59, 51\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44588831 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 2104 = 13*a + 2*h, -5*h = 20. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692439271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1061 - -1013.78. Let u = o + 48. Round u to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 4\/3, -1, -62, 2\/7 in ascending order.\nAnswer: -62, -1, -1\/4, 2\/7, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10067031 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f + 179*f**2 - 4*f - 181*f**2. Let m(s) = 39*s. Determine d(m(h)).\nAnswer: -3042*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2739731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (979 + 1922 + 934 - 414)*(r**2 + 2 - 2*r**2 - r**2) in the form p*r**2 + w + x*r and give w.\nAnswer: 6842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -47*w**4\/24 + 17*w**3\/6 - w**2 + 2. What is the derivative of y(d) wrt d?\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*q - 2284 = -1093 + 1833 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1\/30 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + -23a305?\nAnswer: -23a2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 5*l + 0*l)*(-2 + 1 - 2).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854 is divided by 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141.258 + -141. Let o = -225.742 - j. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1207355216?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, e: 4, m: 1, p: 2, u: 6}. Give prob of sequence de.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2365\/7 + -30892\/91. Is m greater than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*i + 23*i - 89 = 75*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3 - -0.3. Let t = 3\/113 - -559\/226. Which is the second smallest value? (a) t (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**35*c**(-27))**(-12\/13) assuming c is positive.\nAnswer: c**(732\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 208*m**4 - 32*m**4 + 444*m**4 + (0*m**3 + 0*m**3 + 2*m**3)*(-3*m + 2*m - m) - 1 - m**4 + 1 as k*m**3 + w*m**2 + l*m**4 + h*m + y and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.347934g?\nAnswer: 9347934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -35084.95 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1613*-0.85.\nAnswer: -1371.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 8 = 12. Let c = 4 + -2. What is the smallest common multiple of c and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 371574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77973 > 77974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q - 28 + 28)*(-1 - 3 + 2)*(21*q**3 - 8*q**4 - 21*q**3).\nAnswer: 128*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -dad - -28c?\nAnswer: -b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-4))\/((-12)\/64). Let w be (-9)\/5*40\/h. Suppose 2*i + 5*k - 66 + w = 0, -3*i + k = -73. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 1287531?\nAnswer: -1287532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/90)\/((-3)\/(-45)*5).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.376606 millilitres?\nAnswer: 0.005376606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -443 - -442.3. What is the third smallest value in s, 1\/4, -0.3, 3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 11*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 7*g**2 - 6*g + 9. Let s = -14 - -18. Suppose 3*c - 2*k + 14 = -2, 2*k = c + s. Let j be l(c). What is the greatest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 110453131020?\nAnswer: 110453131022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -2\/7 (b) -0.5 (c) -0.005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 3383, -2, 3, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 117702396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 3\/2*v**2 - 2\/3*v**3 + 0 + 13*v. Give i(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*k**3 - 183*k**2 + 92*k**2 - k + 94*k**2 as b*k**3 + v*k**2 + w*k + h and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -5\/3, -1\/316, 1, 1\/2?\nAnswer: -1\/316","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*319\nAnswer: -287.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5896545 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by -68?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqxz. Give prob of picking 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 13*r - 12. Let q be d(-12). Let x(v) be the second derivative of 0 - 2*v - 1\/36*v**4 + q*v**3 + 0*v**2. Solve x(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 12 = -8*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 + 1135\/11. Which is the second biggest value? (a) 3 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/60 + v**4\/3 - 16*v**3\/3 + 41*v**2. Is r(-18) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189938591 to the nearest integer?\nAnswer: 13782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 23. Let v be 11\/(-5) + 2\/a. Is v >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.31 - 2.69. What is the second biggest value in -5, o, 3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -277*r**7\/21 + 185*r**4\/12 - 2*r**2 - 170*r. Find the third derivative of q(h) wrt h.\nAnswer: -33240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23397539 and 53265?\nAnswer: 3551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 4, 45.54, 8.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -78545.0628 to the nearest one hundred.\nAnswer: -78500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -29. Let x(s) = -s**3 - 8*s**2 - 8*s - 1. Let o be x(-7). Let q be (2\/15)\/(o\/u). Which is the biggest value? (a) q (b) 2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - r - 5. Let n be l(0). Let a = -142 - -145. What is the closest to -3 in -2\/3, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 34*n - 4. Let o be j(6). Suppose 0 = 4*r - 2*s - o, 5*r - 251 = -0*s + 2*s. Calculate the greatest common divisor of 34 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 5 = -5*s, 5*f - 25 = 2*s. Suppose -13*a - 20 + 59 = s. Suppose -a*g - 5 = -2*j, 3*g + 7 = -4*j - 28. Is g < -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 16*p**2 - 16*p - 5. Let i = 82 + -82. Suppose -2*a + 19 = k, k = a - i - 5. What is the smallest common multiple of a and h(-15)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -543*f + 545*f - 3*n, 5*f + 61 = 3*n - n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -7*z**4\/12 + z**3\/6 + z**2\/2 + 1. Let j(q) be the second derivative of y(q). Is 8 a factor of j(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**(1\/15)\/(z*(z*z**(-1\/2))\/z*z*z**(1\/3)*z) assuming z is positive.\nAnswer: z**(-259\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -522 - -4?\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 16*i**2 - 2*i - 19. Determine f(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 18 = 0, -3*r - 146236 = -4*y + r. Does 84 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17a24 (base 15) in base 16?\nAnswer: 12af6","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*y - 29 = -67, -5*y = -3*l - 8. Let v(f) = f**3 + 6*f**2 + f + 4. Let s be v(l). Let d = -3 + 2.9. Sort s, -4, d in increasing order.\nAnswer: -4, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 34 = 6*l - 2*l, 2*n - 2*l + 4 = 0. Let m be (-9 + 10)\/(2\/(-10)). Is n smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1434356 by -51227.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 575401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n + 5*n + 0*n)*(2*n - 3*n - 3*n) + 5*n - n**2 - 5*n - 228*n + 24*n**2 + 228*n to x + d*n**2 + s*n and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 525665929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**7\/3360 + c**6\/480 - c**5\/160 + c**4\/96 + c**3\/6 - c. Let f(n) be the second derivative of w(n). Factor f(q).\nAnswer: -(q - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -11*d + 242. Let m = -4 + 6. Calculate the smallest common multiple of m and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3\/p**(-3))\/(p**(5\/4)*(p**(3\/2)\/p)\/p) assuming p is positive.\nAnswer: p**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -80290 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(136)*2 + sqrt(136))*3 + (sqrt(136) - -2*sqrt(136)*-1))\/((-1*sqrt(64))\/sqrt(8)*-5)*3.\nAnswer: -48*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57? (a) 3 (b) 0.01 (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {t: 2, r: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -543 in 0.5, -0.5, 1.088?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + n - 7. Let j(o) = -102*o**3 + 7*o**2 + 6*o - 19. Calculate -j(w) + 3*m(w).\nAnswer: 105*w**3 - 7*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 38662.67 tonnes?\nAnswer: 38662670000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -21, 0.3, -2\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/261 and -1\/459?\nAnswer: 13311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 144272531?\nAnswer: -144272535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/25 - (-734)\/(-320) and 41\/14?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 19. Let n = -247 + 420. Let h = -143 + n. What is the smallest common multiple of l and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (-2)\/(12\/6). Suppose -11*z + 12*z = -2*w + m, 0 = -z + w + 20. Let d be 5\/2 + 2\/(-4). Solve h + d*h = z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, -6, -2 in descending order.\nAnswer: 11, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12650 and 3542?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 11*k - 2. Calculate the remainder when 28 is divided by z(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 17*j + 5*z = -35, -4*j - 3*z = 4. Factor 0 - 2\/7*l**j - 2\/7*l**2 + 2\/7*l**3 + 0*l + 2\/7*l**4.\nAnswer: -2*l**2*(l - 1)**2*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294 or 5569\/19?\nAnswer: 5569\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10404 (base 10) to base 14\nAnswer: 3b12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 183 + 560\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 289 and 201977?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 2. Let f be g(4). Suppose -4*p = -2*h + 10, -h + 19 = f*p + 3*p. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -2564.\nAnswer: -33332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 14*w**2 - 2*w - 2. Let m = -77 - -65. What is the smallest common multiple of 22 and q(m)?\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 1, j: 2, m: 1, i: 2}. Give prob of sequence ij.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/15)\/((-6)\/(-90)*-87)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -78a1 + -6a?\nAnswer: -7960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 78*u - 1573. Calculate t(30).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j + 6. Let b be o(3). Which is greater: b or -17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1105485816 by 46968.\nAnswer: 23537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4)*m)\/m*m*m*m\/(m\/(m**5*m)*m*m)*m*(m\/((m\/m**(1\/4))\/m*m*m))**(-6\/11) assuming m is positive.\nAnswer: m**(293\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**4\/20 - 2*y**3\/5 - 9*y**2\/10 + 15. Find z, given that q(z) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**3*p**3 - 2*f**3 - 4*f*p + 683*f - 1370*p**3 wrt p?\nAnswer: -6*f**3*p**2 - 4*f - 4110*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/16 (b) -3 (c) -1\/3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.186622 * -0.2\nAnswer: -0.6373244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-520)*(18\/(-4) - -2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*p - 119*p - 2*f - 2, -5 = -f for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*v*x - v - 56*x**4 + 366 with respect to x.\nAnswer: 3*v - 224*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 5*q**2 + 5*q + 3. Does 14 divide z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12743104423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*a + 5*k, 5*a + 5*k - 37 = -12. Let n = -3 + 8. Sort -3, n, a in descending order.\nAnswer: n, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(-k + 3*k - k) - 6*k + 5*k + 7*k + (0 + 0 - 2)*(-3*k - 3*k - 4*k).\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15034 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 43*l**2 + 17*l**2 - 7*l**2.\nAnswer: 2*l**3 - 33*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5\/7834 + -21447\/58151782. Let q = x - 408281\/59384. What is the common denominator of ((-17)\/5)\/(12\/(-5)) and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 134 = -3*v + 4*g, -2*v + 4*g - 86 = 0. Let q = v + 66. Suppose -5*r + 111 - q = 0. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 41*i - 134. Determine t(-10).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14))\/((-30)\/(-14) - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/4595 + -344667\/64330. Calculate the common denominator of 35\/12 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -1. Let g(o) = -o**2 + 9*o - 7. Let h(j) = g(j) + 2*k(j). Let t be h(6). Let v = 37 - t. Calculate the highest common factor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 4*q**2 + 3*q**2 + 17*q**3)*(19 - 19 - 18*q) + (-2 - q + 2)*(-2*q**3 + 9*q**3 + q**3).\nAnswer: -350*q**4 + 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-121)\/(-264))\/(-11)*-8. What is the nearest to v in -3\/5, -2, 0.2, -2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43345\/8 + -7324925\/1352. Find the common denominator of 97\/22 and z.\nAnswer: 3718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9231 and 1473971.\nAnswer: 1473970.0769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 99.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 17580*u**2 - 70359*u - 52776.\nAnswer: 3*(u - 5864)*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0, 3\/4, 0.043?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 25. Let w(x) = 2*x**2 + 109*x - 343. Let b be w(-58). What is the greatest common factor of b and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -17*m + 1. Let w be h(1). Let v = w - -42. Suppose -j + 2*p - 8 + v = 0, 2*p = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2411*a + 1202*a - 618 - 2*a**2 + 1209*a in the form i*a + y*a**2 + k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 993, 971, 949?\n\"Answer: -22*g + 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/65 in -0.1, -2\/39, -3, 1?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/31? (a) 5 (b) 0.4 (c) 15 (d) -3 (e) 240\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 11) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169117 to the power of 1\/2, to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 182884 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-4*4)**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/748191259?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 169516 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120464 to the power of 1\/2, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1277145, -2554181, -3831217, -5108253, -6385289?\nAnswer: -7662325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -1905 + 8830. Suppose 3*l - j + 248 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -229*l**6\/15 - 409*l**4\/4 - l + 604. Find the third derivative of c(d) wrt d.\nAnswer: -10992*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.9 + -4. Let p = z - -0.05. Let n = -0.05003 - p. Round n to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/70*(-98)\/28?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.15 (b) -919 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -11. Let q be ((-4)\/14)\/(x\/(-14)). Which is the nearest to 1? (a) q (b) -0.3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1622114, 1622122, 1622130?\n\"Answer: 8*k + 1622106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32213 + 1?\nAnswer: -32212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3.11409 + 0.3\nAnswer: -2.81409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1, -3 in decreasing order.\nAnswer: 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132837705824 + -132837705962.000000101. Let u = -138 - d. Round u to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(5\/(-30)). Let h(o) = -o**3 - o. Let x be h(-2). Solve -x = -d*y + 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -18*l**3 + 15*l**2 - 49*l + 35. What is y(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j - 43. What is r(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 652533 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2644336 - -1810651. Let v(w) = -23*w - 4933685. Let q be v(0). Let g = i - q. What is g rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 34*m**2 + m + 61. Is 5 a factor of p(34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 8*f + 5. Determine m(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46.8 in -4, 59, 4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102170011066.806977948 + 25654977465.806977463. Let o = d - -76515033380. Let u = o + 221. What is u rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/5)\/((-9702)\/(-41580))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-9)\/1044*-2*4\/(-6)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 divided by -331?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 1. Let q be z(-2). Suppose -3*f + 3*k = -12, -3*f - 20 = -k + 6*k. Sort f, 5, q in ascending order.\nAnswer: q, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -693, -1386, -2079, -2772?\n\"Answer: -693*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3*v*y - 9*t**2*v*y**2 - 3*t**2*v + t*v*y**2 + t*y + 20*v*y**2 + 2*y**2 wrt t?\nAnswer: 6*t*v*y - 18*v*y**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 3*s**2 + 0*s**2 + (-3*s + 3*s + 2*s)*(-3 + 3 - 2*s) - 2*s**2 + s**2 - 3*s**2 - 126 + 21*s**2 + 126 to n + w*s**2 + k*s and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + -2 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2409136?\nAnswer: 2, 150571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-3)\/150). Suppose 0 = -1377*k + 1381*k. Solve -5*q + k = -f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -643*h + 640*h - 9, -5*h = -f + 39 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 763750 divided by 15275.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2 + 20390416*z - 51971133081632 = 0. What is z?\nAnswer: 5097604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1737 - -1740. Sort -0.06, -0.09, -0.5, w, -1\/3 in descending order.\nAnswer: w, -0.06, -0.09, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*4*-1 + sqrt(88))*5)\/(sqrt(56)\/(sqrt(14)\/sqrt(2)) + sqrt(24)\/(2*sqrt(3))).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 61 + 835*a**2 - 23 - 38 in the form n*a**2 + v + l*a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(15\/(-2))*(-30)\/4. Suppose j + 13*w - 19 = 8*w, 5*w = v. Solve 3*c + 5*y = -26, -2*c - 24 = 2*c + j*y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -253 + 254. Which is smaller: -787 or b?\nAnswer: -787","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140525 = 79*j - 1331450. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*r + 99*r - 2*i + 21, 0 = -2*r - 4*i + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -386.7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 10392742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 85. Let d(p) = -p**2 + 27*p + 171. What is the units digit of d(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + 5. Suppose 5*u - 41 = -3*r, 2*r + 5*u + 0*u - 24 = 0. Let l = r - 1. What is the remainder when w is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 35*h + 156. Let l be q(-39). Suppose -17*a + 90 = -7*a. Solve 6 = 2*x - 2*m, 2*x = -3*m - a - l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - 0) + (-1 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -1369*q - 197 - 37*q**2 - 1\/3*q**3. Factor d(g).\nAnswer: -(g + 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-28))\/(10\/14). What is the nearest to 1\/2 in l, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from ftmfpfnnpfnpfftfr.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -4*v**3\/9 + 164*v**2\/3 - 6724*v\/3 - 210. Find k, given that x(k) = 0.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + 3*q**2 - 2*q**2 + 2*q**2 - 1 + 1 + (-2*q + 2*q**2 + 2*q)*(-13 + 1 - 8).\nAnswer: -35*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -25, 2\/13, 4, 0.34, -35?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*w - 11, -4*r + 6 = 5*w - 0. Is 955 + (0\/w)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3812 divided by -1906?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 14*a + 2926 = 0. Let c = -150 + a. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-13)*u)**(-39) assuming u is positive.\nAnswer: u**468","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6980 - 4666. What is k rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110010 + -11?\nAnswer: -1000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3133 and 13833641.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2867 = -1200*i + 1261*i for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 + 2*x + 1. Let y be l(5). Let u(g) = 3*g + 11 - y. Let c(q) be the second derivative of -q**3\/3 + q + 1834. Determine c(u(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221100122112 - -1002?\nAnswer: 221100200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2686 + 2709. Solve 4*u + 28*q - 16 = d*q, q - 8 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10*h - 65. Let p be r(6). Let y(k) = k**3 + 4*k**2 - 6*k + 7. What is y(p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103850.\nAnswer: 2, 5, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 137184625 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*v - 2*b + 4*b, 4*v + 2*b - 32 = 0. Let q be (v\/(-6) - -1)*-4. Solve 2*o - 5*c = 2, -2*o + 6*c - 3*c = q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2162712070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - w + 1. Let a(x) = 4*x**2 - 4*x + 4. Let j(i) = a(i) - 4*b(i). Let h(n) = -2*n**2. What is j(h(m))?\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2581649, -3\/4, 10 in decreasing order.\nAnswer: 2581649, 10, 0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) -2\/5 (c) 0.214\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/3873 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 12) to base 16\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + 19c66?\nAnswer: 19c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 120.1412082 - -48.2\nAnswer: 168.3412082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 159340 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5945990459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1005 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1516.043479 rounded to the nearest 10?\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -275 (base 11) to base 6\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u - 30. Calculate the lowest common multiple of h(-6) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 257586863 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfgfywgfyshf. What is prob of sequence fhsh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14782119 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 0.2 (c) 1.99 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by (-714)\/(-8) - (-5 - (-147)\/28)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-1463)*38)\/(8\/476).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3*v*(v\/(v**(-6)\/v))\/v*v*v*v**(2\/7)\/v**(4\/5) assuming v is positive.\nAnswer: v**(437\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2511\/2, -0.3, 3, 13?\nAnswer: -2511\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*o - 19 = 0, w - 5*o = 6*w + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 153 - 160 - 13*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/1778 - 449\/889. Let w = -0.1 - 0. Which is the nearest to i? (a) w (b) -0.4 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -20*y**2 - 140140*y - 245490245 = 0.\nAnswer: -7007\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 218, -2, -14, 28, 4, -1, 3.\nAnswer: -14, -2, -1, 3, 4, 28, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0\/d)**9\/(d*d*d\/(d**3\/d)*d\/(d**1*d)))**(1\/5) assuming d is positive.\nAnswer: d**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + -12. Let h = -45 - -75. Let x = h + k. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 16. Let h(b) = 2*b**2 - 3*b**2 - 6*b + 18*b + 3. Is h(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c5 + -3?\nAnswer: -2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*w - 61 = 674 + 657 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -67\/63 - -9\/7. Sort 5, t, -3\/5 in decreasing order.\nAnswer: 5, t, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-4 - 266\/(-63)))\/((-38)\/475).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 2*m - 15, 0 = -3*n + m - 4 - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -27 (c) 1430541 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 7*n + 18. Let l be c(9). Suppose -5*s + 2*h - 2 + 28 = 0, s - 5*h - 19 = l. Solve -s*v = -4*d, 4*v = -5*d - 6 + 51 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3216*s + 3221*s - 12 = -v, 0 = v - 2*s + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*v**4 + 7\/6*v**3 + 1\/3*v**2 + 0 - 20\/3*v.\nAnswer: v*(v - 2)*(v + 4)*(v + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 19*f + 3. Let n be i(0). Solve 4*y + 20 = x + n*x, -2*y = x + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*b + 6*b + b to the form g + d*b and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j + 3*j**2 - j + j**2 - 3*j - j**3. Let i be h(4). Suppose -280 = -i*x - x. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 7*y**2 + 6*y - 1. Let s be 12\/(4 - 2 - 0). Let l be b(s). Is ((-22)\/(-6))\/(l\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v + 1 + 0 - 2 + 0. Let k be d(5). Does 4 divide (k\/(-3))\/(3\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 1:23 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*b**3*m*s + 6*b**3*s**3 + 2*b**3 - 142*b*s**2 + 14438*m*s**3 wrt m?\nAnswer: -10*b**3*s + 14438*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h - 1. Let q be g(-8). Let d = -33 - q. Suppose 3*i = -5*u - d*i + 5991, u - 1209 = 3*i. What is u rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 7) to base 12\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3612 and 17324958?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 7 = 4*g - 21, -45 = -5*g - 5*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1792*b + 2. Let z(x) = -4*x + 8. Calculate z(k(y)).\nAnswer: 7168*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 60852*f**3 - 182565*f**2 + 4*f + 243420.\nAnswer: (f - 2)**2*(f + 1)*(f + 60855)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 595\/4 or 150?\nAnswer: 595\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.431289 micrograms in kilograms?\nAnswer: 0.000000009431289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -60. Let d = 0 - 0.1. Which is the second smallest value? (a) v (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-995) + 2272449\/(-46367).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/6*(-4)\/(-14)*-7)\/(62\/(-18))\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*l - 2*j + 5*j, -3*l + 4 = -4*j. Let h = l + -1. What is the second derivative of 55*z**2 - h*z**5 - 55*z**2 - 7*z wrt z?\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 - 5631b9?\nAnswer: -563194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44848 - 47?\nAnswer: 44801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101626282?\nAnswer: 2, 23, 2209267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - 11*t**2 + 8*t + 10. Let s be w(-6). Let o be (6 + -18)\/(s\/1). Let v be (o - (-168)\/(-27)) + 11\/9. Put -6, 5, v in descending order.\nAnswer: 5, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + (-39)\/(-15))*10. Let s(m) = -2*m + m + 1 + 0. What is the units digit of s(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 2 (c) 632 (d) 3\/4 (e) -22 (f) -0.4 (g) 5\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 20 - 20 + (5*n - 2*n - 2*n)*(0 - 3 + 1))*(1575*n + 1516*n + 23*n - 429*n).\nAnswer: -13425*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*x**2 + 10*x**3 + x**2 + 4*x**2 + 0*x**2.\nAnswer: 10*x**3 + 8*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -28432?\nAnswer: 28435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1652.679665 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 56 = 4*i. Let l be (i\/(-3))\/1 + (-176)\/(-528). Which is the nearest to l? (a) -18 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + 3*y + y + (3*y - 3*y + 2*y)*(0 - 2 + 0) + (2*y + 16 - 16 + (2*y - 2*y - 2*y)*(3 + 2 - 3))*(7 + 0 - 3) to w + i*y and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20364*w = 1333845 - 205022 + 1335221 for w.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39.2 - -32. Let w = -7 - o. Sort -3\/7, 1\/4, w, 0.01 in decreasing order.\nAnswer: 1\/4, w, 0.01, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*x - 3*l, 0*l + 1 = x + 2*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -26\/5? (a) -0.8 (b) 1\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3483 = 4*p - 3475 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 - (13 + -18 + 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4380*h + 72610 - 11290 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-93)\/(-62))\/(3\/8). Sort 5, 11, 1, o in descending order.\nAnswer: 11, 5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 1)*-2*(-25)\/(-25). Suppose -f*c - 9*c = -1343. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8305 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 15) to base 16\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 13 - 19. Let z = a + 29. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1889.06 - 1889. Let n = -5 + 7. Let u = n + -2.2. Is u at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 16, z: 2}. Give prob of sequence zz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 + -3.94. Suppose -4*t - 397 = 3*p - 2*p, 3*p - 209 = 2*t. Let z = 100 + t. What is the second biggest value in 2, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.06 + -13.74. Let z = -8.2 + v. Is 0.1 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4 + 1834\/4. Suppose -j + 0*z + 5*z = -175, 0 = -3*j - 2*z + i. Is j a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -259*d**2 - 7*d**3 + 260*d**2 - 2*d**3 - 3*d - 2 to z + x*d**3 + c*d + v*d**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -927 + 926. Let u = -41 + 33. Let s be 22\/77*(u - -1). Is s bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f**3 - f**2 - f - 2. Let a be k(2). Let r be -2 + 2 + -1 - -4. Suppose -r*j + a = -j. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-1*(-5 - 42). Suppose 3*y + 17 = o. Let m(h) = y*h + h**2 + 3*h**2 - 10*h. Let s(l) = -2*l. Determine m(s(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -4*i**7\/7 + 14*i**5\/5 + 62*i**3\/3 - 2*i**2 - 375. Find the third derivative of h(x) wrt x.\nAnswer: -480*x**3 + 336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(-3)\/k*k)\/k)\/k)**(5\/6))**(-2\/29) assuming k is positive.\nAnswer: k**(25\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - -4) - (3 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:28 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -789 + -1?\nAnswer: -78a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 269 - 267.83. Let y = -0.17 + v. Which is the closest to 0.1? (a) 1\/5 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 2 - -2946*(44 + -11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113 + -40. Suppose 5*x - v = 2*m, -2*x - 4 = 5*m - 39. Let q = 12 + x. Is 27 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 - 450*j\/11.\nAnswer: -2*j*(j + 225)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95919551.\nAnswer: 7, 13, 1054061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + -1*sqrt(153))**2 + -2.\nAnswer: -144*sqrt(17) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1078, 5681, 13366, 24139, 38006?\nAnswer: 54973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 153\/30088?\nAnswer: 153\/30088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*g**3 - 92*g**3 - 10*g**4 + 1837 + 1137 wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83*c**5 - 211*c**4 - 92*c - 200.\nAnswer: -1660*c**3 - 2532*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 8*v**2 + 7*v + 8. What is the remainder when (-2 - -153 - -2)\/1 is divided by g(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969519?\nAnswer: 3, 23, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8779826586 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 8*r + 87. Let f be q(-14). Solve -l = -4 + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 + -157 - -122) + 91.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -333117 times -0.0487\nAnswer: 16222.7979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 303, 603, 903, 1203, 1503?\n\"Answer: 300*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 6*n**2 + 11*n - 13. Let b be k(7). Suppose 0 = -9*o + b*o - 18. Let u be 2\/(-6) + (-5)\/(-15). Solve u = -o*d + 7 + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d + 4*w = 18*d, 7 = d + 5*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-303)\/(-15) - 2\/10. Is 4\/12 - c\/(-3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1264 and 11.\nAnswer: 13904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/4)\/(((-51)\/(-189582))\/(-17)*1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/1)\/(0 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533*i - 5532*i = 0. Factor -2\/3*r**2 - 8*r + i.\nAnswer: -2*r*(r + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/2 (b) 2 (c) 3\/2 (d) 20 (e) -6\/95 (f) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - 10100?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1465 - 1426. Let a = -36 + 75. What is the greatest common divisor of n and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5)*(-1383*k**3 - 405*k - 175*k**3 + 404*k - 3541*k**3) as q*k**2 + d + u*k**3 + x*k and give u.\nAnswer: -5099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 305566 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96744?\nAnswer: 2, 3, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(-30)\/(h\/((h*(h*h**(-2)*h)\/h)\/h*h)*h\/(h*h**(-6\/5))*h))\/((h*h**(-4)*h**1)\/(h*h**(-6)*h**(-1\/6)*h)) assuming h is positive.\nAnswer: h**(1639\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/24)\/((-21565)\/(-908))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -14) + 3 + -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/4 (b) -2\/17 (c) -0.1 (d) -40 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 327596419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 971 - 640. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.0827434 to 3 decimal places.\nAnswer: -30.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from utwugwutwggwbwwbwwb. What is prob of sequence wuub?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 5*q - 16. Let h be f(5). Solve -2 = -h*b + 32*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 1. Suppose 0 = -4*z - 6*u + u - 29, 3*z = -3*u - 18. Let s(j) = -j**2 - 8. Let c(f) = z*s(f) + 5*g(f). What is the units digit of c(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4. Suppose -x + 15 = -a*x. Let c = 18 + -12. Calculate the greatest common factor of c and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*t + 118 - 155 = -3*u, -6*t - 48 = -2*u + 3*t for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*m**3 + 2*m**3 - 7*m**3 + 14*m**3.\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pa when two letters picked without replacement from {a: 1, c: 1, g: 2, u: 1, p: 5}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*r - 4\/9 + 2\/9*r**2.\nAnswer: 2*(r - 2)*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxxgggggxxggggggggxg. What is prob of sequence xxgg?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1089009 and 1710?\nAnswer: 206911710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -667, -111, 12 in descending order.\nAnswer: 12, -111, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-9)*-1*1\/(-11). Which is the nearest to -3? (a) -5 (b) -8\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25 (b) 5 (c) 0.3 (d) 6\/11 (e) -1\/4 (f) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiiiiiiiiliiii.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111010 + 100?\nAnswer: 110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5*102\/170.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*w - 719 = -448*w - 191 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*44651494\nAnswer: -2232574.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.095678512+-0.0208782\nAnswer: -0.116556712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 18. Let x be t(9). What is the common denominator of -45\/4 and 0 + -3 + (-94)\/x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-3))\/(2\/45). Suppose o = 3*d - d. Let j = -10 + d. Solve -5 + 3 = j*m + 2*a, m - 5*a = 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-7 - (-14 - 8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 56*t**5\/5 - t**2\/2 + 24*t - 63. Find the second derivative of f(q) wrt q.\nAnswer: 672*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let d(l) = -3*l. Determine -6*b(g) + 2*d(g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 4, 47, -3 in descending order.\nAnswer: 47, 4, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 19 = -13*l + 15*l, 4*l = 4*h - 8. Put 0, -2, h, 5 in descending order.\nAnswer: 5, 0, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1464, 2724, 3976, 5220, 6456, 7684?\nAnswer: 8904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, u: 3, j: 2, y: 9}. Give prob of sequence utt.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*z + 92*z + 522 - 159*z wrt z?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959950 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqnxnnnoxgxogx. Give prob of picking 1 g and 1 n.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**5\/40 - 5*w**4\/24 + 5*w**3\/6 + 4*w. Let s(c) be the second derivative of v(c). List the prime factors of s(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160.4, -3, 5, -2, -6 in decreasing order.\nAnswer: 160.4, 5, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from {p: 4, y: 5, v: 4, u: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 10*g**3 - 7*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*l = -8*o + 3304, -2*l = 3*o - 2493. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((36\/(-8))\/(-3))\/(-3))\/((-78)\/502476) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(47 + (2 - -2)). Suppose -4*o + 3*o + t = 0. List the prime factors of o.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1100)\/154)\/25)\/(2\/10).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -8. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 497 + -496.9491. Let b = j - -24.2491. Let x = -24 + b. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256431499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfe when three letters picked without replacement from {l: 1, x: 2, e: 1, f: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169.387 + 0.613. What is the biggest value in -5, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2 + 5*m + 271. Let u be q(0). Which is bigger: 269 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/924 and 127\/1050.\nAnswer: 23100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 - 11377055*f**4 + 79639600*f**3 - 68262700*f**2 - 364066720*f + 364066880 = 0.\nAnswer: -2275418, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001677 rounded to 4 decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(176) + -3 + (sqrt(11) - ((sqrt(11) - sqrt(176)) + 1)) + 3 + 2.\nAnswer: 1 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*v + 215*v = 91*v - 522 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3956*k**2 + 28*k - 24032 with respect to k.\nAnswer: -7912*k + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51338 - 34270 = -18*t. Is 116 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 15, q: 4}. Give prob of sequence dddd.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u. Suppose u*v = -v + 2. Suppose 0 = 86*h - 31*h - 165. Solve -w = v*w - h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2362 to 3 dps.\nAnswer: 0.236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 20. Let a(b) = 2*b - 4*b + 22 - 6. Is a(v) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 greater than -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 + -119 + 97 + (-10 - 1).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15918, 64084, 144494, 257148, 402046?\nAnswer: 579188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101376 is divided by 230?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(637))**2*-6 - sqrt(637)) + sqrt(91)\/(sqrt(77)\/(sqrt(11) + -3*sqrt(11))).\nAnswer: -3846 + 159*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 307374393, 614748785, 922123177?\n\"Answer: 307374392*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1445*n + 5760. What is q(-4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b + 3. Let k be ((-13)\/(-4) - 1) + 2\/(-8). Calculate a(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 0.09 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from uqprrqurqzwwuwr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 6:50 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4948334722?\nAnswer: 2, 383, 1069, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 72 = -15*x. Solve -z + x*z = 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(405) + 5.\nAnswer: 5 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 1. Suppose t = -2, -3*q - 26 = -t - 4*t. Let h be (-10)\/q - (-13)\/78. Let s(j) = -j + 1. Give h*s(k) + 2*f(k).\nAnswer: -2*k**3 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**4\/4 - 6*d**2. Let y(j) = -2*j. What is t(y(k))?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419803745 to the nearest integer?\nAnswer: 20489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -216*r**3*z + 2*r**3 - 455*r*z - 698726*z with respect to r.\nAnswer: -648*r**2*z + 6*r**2 - 455*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*w + 24*w + 2*c - 1, -4*w + c = 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b + 13*b = 540920. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 11*j**2 + j + 4. Determine g(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19725*t - 19742*t = -1309 for t.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -84, -68, -18, 84, 256, 516, 882, 1372?\n\"Answer: 3*g**3 - g**2 - 2*g - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(5 - 1 - 1)*(-296*y + 174*y + 197*y).\nAnswer: -450*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**3 - 540*h - 90*h**2 + 546 - 1626 - h**3 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -12.929?\nAnswer: 13.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + 73*r**2 - 39*r - 82. Let j be m(-37). Let l(z) = z**2 + 11*z + 2. Give l(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7))**32)**(-20)\/(o**(-6)\/o**(-2\/11)*(o**1)**41) assuming o is positive.\nAnswer: o**(11371\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3632\/3178)\/(1\/(-7))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = k + 1, 7*k + 4*x = 3*k - 4. Let r be 0\/15 - (k + 2). Let f = 6 - r. Let i(p) = -p**2 + 9*p - 7. Calculate i(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -402 by 2.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f = 20. Suppose -u = 3*q - 11, -3*u = q - f*u - 5. List the prime factors of ((1 - 0) + 1)*q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*(sqrt(22) - (sqrt(22) + sqrt(44)\/sqrt(2) - sqrt(22)))*3)\/(-5*sqrt(1584)*1*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 29, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -160129, 23.\nAnswer: -160129, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 287 - 182. Calculate the greatest common divisor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -211*r**3 - r**2 - 2*r - 3754 wrt r.\nAnswer: -633*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 633*h*n**2 + 5*h*n + 19*h - 218 wrt n.\nAnswer: 1266*h*n + 5*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + g - 20 = 0. Let d be (g\/5)\/((-1)\/11). Let q be 7\/(-63) - (-892)\/9. Calculate the greatest common divisor of q and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13586112 by 48.\nAnswer: 283044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*i**3 - 52*i**3 + 139*i**3 + 999 - 999.\nAnswer: 19*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1679 and 15433.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a micrometer in nanometers?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzrmmmzmm. What is prob of picking 3 m and 1 z?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 190 = -33*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-2 + 6) + -21. Let k(f) = f - 1. Let s(t) = 8*t + 40. Let c(i) = 2*k(i) - s(i). What is the tens digit of c(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s**2 + s + 1. Suppose 19*k = -13*k - 64. Let c(w) = 14*w**3 + 2*w**2 - 3. Give k*r(l) - c(l).\nAnswer: -12*l**3 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5391 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - j - 6. Let z be t(0). What is the lowest common multiple of (3\/(-2))\/(z\/8) and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 721*w**3 + 0 - 711*w**3.\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2\/4 + 3075*i\/2 + 3076 = 0.\nAnswer: -2, 6152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 6. Let p(g) = -2 - 2*g**j + 2 + g**3 + 3 - 2. Calculate p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 191 and 888150.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**3 - l. Let k be q(1). Let g = -4 - k. Solve 2*d - g = 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o - 2*o - 2*o)*(-5*o - 2*o**2 + 5*o).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12263290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204 + -192. Let m be (h\/(-5) + 2)\/(56\/70). Let g = -6.4 + 6. What is the third biggest value in m, 0.4, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 * -0.09\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*u + 18. Let d be u + 0 + (-2 - -4). Let w = 9.9 - 10.9. Sort w, d, -0.2 in descending order.\nAnswer: -0.2, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 - 2420\/16. Let k = 150 + o. Let a(m) = -3*m - 4. Let x(u) = u + 1. Determine k*a(i) - 2*x(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 27. Suppose 0*p - p = -m. Let c(r) = -r**3 + 4*r**2 + 7*r + 5. Let y be c(p). Solve 0 = 2*s + 3*s - y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 3*j**2)*(28*j + 2*j**2 - 28*j + 1).\nAnswer: -6*j**4 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-2*4 - (sqrt(228) + sqrt(228)*1*-4 - sqrt(228)))\/(2*sqrt(588)*5))**2.\nAnswer: 76\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3011 - 2976. Suppose 1 = -0*k - k. Calculate the remainder when w is divided by 20 - (3 + (-2 - k)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40941719 is divided by 110355?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*v + 268*v - 122*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o + 22. Let s = -62 - -56. Let q(n) = n**2 + 7*n + 17. Let d be q(s). Calculate the remainder when 43 is divided by z(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15.05113 micrograms?\nAnswer: 0.01505113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, j: 1, k: 1, v: 1, g: 11}. What is prob of picking 2 v and 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 6*w + 0*w**2 - 1\/12*w**3 + 1\/12*w**4 + 0 - 1\/40*w**5. Determine d, given that k(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/a**(-4)*a\/a**(-5)*(a\/(a*(a*a*a**(-1)*a)\/a*a*a))**2*(a**(1\/5)\/(a**0*a))**(-7\/4) assuming a is positive.\nAnswer: a**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 899277 and 276.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 207*z**2 + 74*z**2 - 151 + 225.\nAnswer: 281*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 251911 times 25\nAnswer: 6297775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b\/b**(3\/8))*b**5*b*b**(1\/7)\/(b*b**(-2)*b*b) assuming b is positive.\nAnswer: b**(365\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 137470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 12:49 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -752, -735, -718, -701, -684, -667?\n\"Answer: 17*u - 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(14)\/(sqrt(56)\/sqrt(8)) + (sqrt(14) + sqrt(42)\/sqrt(3))\/sqrt(7).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 750089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0365939 + 0.1276177. Let k = 0.091 - l. Round k to 6 decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3 = -i, 5 = 5*i - 10. Let d(z) = z**3 - 2*z**2 + 6*z - 27. Let g be d(3). Solve q = n + 3, 23 = -5*c - g*c - n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*u - 2 = 0, -2*t - 4*u + 14 = 4. Suppose 0 = 2*k + t*k. Let w = -306 + 306. Solve k = p - 1 - w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/3 - 8006*j**2\/3 + 32000*j\/3 - 10664 = 0. Calculate j.\nAnswer: 2, 3999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b8 - -2?\nAnswer: 2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 11.2965 and -28478.\nAnswer: -28466.7035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 156 - 91. Let w = -463 + 485. What is the remainder when r is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/17 (b) -2\/7 (c) 2\/1609\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 5*r + 10, -3*w + 614*r - 598*r + 70 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27596453 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -28*(-7)\/140 + 4. Factor -6\/5*z + 3*z**4 + 0 + p*z**2 - 36\/5*z**3.\nAnswer: 3*z*(z - 1)**2*(5*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4262 - 4258. Let x = -0.3 - -0.5. Which is the nearest to 0.2? (a) -3\/4 (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 1. Let b(j) = 4*j + 16. Give b(w) - d(w).\nAnswer: 3*w + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - m**2 - m + 2. Let b be g(-2). Let d be (4 - 1)\/(24\/b). Let f(a) = -1 - d*a + 1 - 3*a. Let k(v) = 2*v**2. Calculate k(f(w)).\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301 + -1300?\nAnswer: -3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181 + -175.16. Let k = n + -45.54. Let g = k + 36. Round g to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i. Let c = -12 - -17. Give k(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.073 times -27\nAnswer: 1.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -24 + 22 + (-5)\/(-2). Which is the second biggest value? (a) -1 (b) 1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 13\/6, -1\/9, 3\/8, 2\/3215 in increasing order.\nAnswer: -0.2, -1\/9, 2\/3215, 3\/8, 13\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**4 + 64*v**3 - 176*v**2 - 256*v + 768 = 0. Calculate v.\nAnswer: -2, 2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*i**2 + 66*c**3*o - 2*c**2*d*i*o + 128*c**2*d - 17*c**2 - 1470*c*d*i**2*o + 2699*i**2*o wrt i.\nAnswer: 4*c**3 - 2940*c*d*o + 5398*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 376381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34600 is divided by 1117?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94562*o**2 - 214840*o wrt o.\nAnswer: 189124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 358349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 557*s**2 - s**3 - 3*s - 586*s**2 + 3*s in the form i*s**3 + v*s + n + l*s**2 and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 7) to base 14.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 15, l: 5}. Give prob of sequence yly.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0027 from 1.7.\nAnswer: 1.6973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5417482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -4 (c) -5\/3 (d) 4 (e) 20 (f) -995 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1527120 and 21715.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -27*r**2 - 751*r - 26. Determine k(-28).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64112 and 7400929?\nAnswer: 4007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3 - 3*r**2 + 5*r + 5*r**2 - r**2. Let n be z(6). Let a = -44 + n. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -326318*s**3 - 1156*s + 2?\nAnswer: -1957908*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*s - 2)*(0 + 2*s**2 + 0) + 2*s**3 + 7*s - 7*s + (36*s + 37*s - 80*s)*(-3*s - 3*s + 5*s)*(-2*s + 1 - 1) to p + v*s**2 + i*s**3 + q*s and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 248\/1313, 4, 2 in ascending order.\nAnswer: 248\/1313, 1\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 66 = k, 2*k = 2*x - 4 + 32. Let d(s) = 10*s**3 - 16*s**2 + 16. Let a(c) = 3*c**3 - 5*c**2 + 5. Determine x*a(t) + 5*d(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1145451 and -334.\nAnswer: -382580634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 769, -3, 2\/21, -0.95, -0.3 in ascending order.\nAnswer: -3, -0.95, -0.3, 2\/21, 769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25005460 and 100021840?\nAnswer: 100021840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1547440, -3094883, -4642328, -6189781, -7737248, -9284735, -10832248, -12379793?\nAnswer: -13927376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*b + 55*b + 315 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2125*i + 14876. Calculate l(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2359, 2357, 2355, 2353, 2351?\nAnswer: 2349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 10*l + 18. Determine k(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 6*u**2 - 3*u - 7. Give t(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 2\/7, -2\/11, 12752?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -3*c**6\/2 + c**5\/15 + 2*c**2 - 13*c. Factor j(v).\nAnswer: -4*v**2*(45*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/l**8)\/l))\/l)\/(l\/l**6))\/(l**(-2\/5))**(-4) assuming l is positive.\nAnswer: l**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*y = 2195 - 1239 + 2014 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 + 5\/10. Is 759*(3\/9 - g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634636039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 2\/(-4 - -2). Let h be 4*-1*(v - 3). Factor 4*c**3 + h - 4*c**4 - 9 + 1.\nAnswer: -4*c**3*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 l, 1 i, and 1 o when four letters picked without replacement from zlplpoltllllliiltp?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 113*n**2 - 27159*n + 9337. Give j(240).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35210, 70425, 105652, 140897, 176166, 211465, 246800, 282177?\n\"Answer: d**3 + 35208*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -470140 = -49*c + 3*c - 62258. List the prime factors of c.\nAnswer: 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 107 = 4*n - 85, -16*n - q - 78 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.52 + -2.145. Round f to two dps.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1026 - -9872. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.01, -2380 in descending order.\nAnswer: 0.2, 0.01, -2380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 450\/(-350) - 64877\/(-50449). Is t <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2. Let n(x) = -14*x + 21*x**2 - 19*x**2 + 14*x. Give n(a(f)).\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/9*81\/(-3). Let j = v - 5. Solve d + 9 = -0*t - j*t, 5*t - 5*d = 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwwc when four letters picked without replacement from cccwlccccwllwlcwccw.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 460\/(-50) + 12\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2 + 34*b. Is h(15) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140 - 144?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1 + 3. Suppose -11 = -m + i, 4*m - 54 = 2*i - 0*i. Suppose -m = 5*v - v. Which is the biggest value? (a) z (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 26 = -z. Suppose -12*x = -z*x - 4. Let r = -3 + 8. Sort -1, r, x.\nAnswer: x, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21435, 32137, 42839?\n\"Answer: 10702*m + 10733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18dd - -38d?\nAnswer: -1550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-3\/4)*(((((x**1\/x)\/x*x*x)\/x)\/x)\/x*x)\/(x*x**(3\/7)) assuming x is positive.\nAnswer: x**(-89\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1925 and 9163.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-4)\/((-48)\/27) + -2). Suppose -4*a + 2*s = -22, v*a + 8 = s - 5*s. Solve 0 = y + a*y + 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 8*q - 17*q - q - 3*q + 2*q + (4*q - 7*q + 0*q)*(8 - 2 - 1) as z + g*q and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 3*u**2 - 4*u**2)*(-2*u**3 + 2*u - 2*u) + 16*u**4 - 16*u**4 + 6*u**5 + (-2*u**3 + 4*u**3 - u**3)*(-3*u + 3*u - 5*u**2) - u**4 - u**5 + u**4.\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 118406 or 118405?\nAnswer: 118406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1054+-4.4\nAnswer: 1049.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 274795061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*u**3 + 119*u - u**2 - 29*u**3 - 120*u to n*u**2 + g*u + w*u**3 + p and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17439 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: What is the ten thousands digit of 11922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9210 - -9110 - (-55 - 0)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 255*i**2 + 467*i**2 - 1668*i**2 + 471*i**2 + 471*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/584 and -145\/18528.\nAnswer: 1352544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2))**(-17)*(s\/s**(-3))\/(s\/(s**(-1\/2)*s*s)))**32 assuming s is positive.\nAnswer: s**(-128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 971342?\nAnswer: 971345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -555326, -555330, -555334, -555338?\nAnswer: -555342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(325))*1)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*b = 2355 + 5241 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -117*c**4*f**2 + c**2*f**3 + 19*f**3 - 1 wrt c?\nAnswer: -468*c**3*f**2 + 2*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexvexzxekezczzxvce. What is prob of picking 1 v, 1 z, and 1 c?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(26)\/sqrt(2) - -2*sqrt(1300)) + 0 + -4)**2.\nAnswer: -184*sqrt(13) + 6893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538094*w + 1076346*w - 538254*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, f: 7, l: 1, u: 1, h: 2}. What is prob of sequence ldd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 + 58\/(-8). Let b(s) = -4*s + 3. Let p(l) = -3*l - 8 + 8*l + 1 + 4*l. Let u(o) = m*b(o) - 3*p(o). Let r(n) = 8*n + 1. What is -2*r(a) + 14*u(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 4*x**2 + 4. Give n(4).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0764 * -0.04656\nAnswer: 0.003557184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 675312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 215 by 384.\nAnswer: 215\/384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121708 - 52267. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12499 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l + 56. Calculate q(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13858 - 38831 = 1380*y + 32527 + 460 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 7.3. Let x = 0.18 - 0.15. Let p = x + v. Round p to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-2*r**3 - 2*r**2 + 2*r**2) + 0*r**3 + 6*r**3 - 4*r**3 - 4 + 4 + r**3 + 2*r**3 + 0*r - 2 + 0*r.\nAnswer: 7*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 103232?\nAnswer: -103230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*a + 1359 = 754 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**5 + 545640*d**4 + 18527766520*d**3 - 5457052524240*d**2 - 10969686165500*d - 5494106420376 = 0.\nAnswer: -68351, -1, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7626\/4 - 1) + 11\/(-22). Suppose -9*a + 12*a - s = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*3\/(858\/(-88)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-37890)\/(-774) - (-8)\/(-172)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**5 + 777973*g**3*p + 2*g**3 + 7*g**2*p - 10*g**2 - 42807*p - 2 wrt g?\nAnswer: 180*g**2 + 4667838*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/42 + -2 + (-424)\/(-56).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*t + 0*t + 317 = 0, -198 = -2*u - 4*t. Let g = -719\/7 + u. Which is smaller: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95932375 by 175.\nAnswer: -548185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:20 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*b = -9, -b - 4 + 1 = -4*z. Solve -x - 2*x - 2*n - 11 = z, -4*x - n - 8 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, -4, -0.04, 1 in descending order.\nAnswer: 2, 1, 0.3, -0.04, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 970 - 1638. Let v be (-4)\/(-26) - u\/52. Which is smaller: v or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 342 and 38560.\nAnswer: 6593760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1205017, 2410006, 3615001, 4820008, 6025033, 7230082?\nAnswer: 8435161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*6\/8*(-3102)\/(-33). Suppose -s = -3*q + 1647. Is q a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*o = 129*o + 22. Suppose 5*d = -5*f - 25, -5*d = -f + 2*f + 25. Let r be (-1)\/(f - (-2)\/(-44)). Calculate the highest common divisor of o and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1258\/7 - -12153\/70. Which is the second biggest value? (a) x (b) -3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*v**2 + 368*v**2 - 1106*v**2 + 374*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 1:56 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599330101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*o**2*v**4 + 66*o**2 - 227599*v**4 - 110713*v**2 wrt v?\nAnswer: 1224*o**2*v - 5462376*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5224 + 9240. List the prime factors of a.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Let c be 2 + (1 - 2) + m. Let w(i) = 9 + 0*i - 5*i - 6*i. Let y(v) = 5*v - 4. Determine c*w(a) + 7*y(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -358.729068 rounded to the nearest integer?\nAnswer: -359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*sqrt(147)*-3*2*6)**2.\nAnswer: 3048192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 6*n**2 + 4*n - 7. Let i(h) = h + 5. Let g be i(0). Let v be m(g). Let f = 19 + v. What is the greatest common factor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*i - 13. Let g(m) = -4*m**3 + 13*m**2 + 13*m + 13. Let d(j) = -2*j**3 + 6*j**2 + 6*j + 6. Give i*d(p) - 6*g(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 - 4*j**3 + 0*j**3 - 8*j**3 + 5*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147204 and 61476.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 2*i + 12. Let q(u) = -u**3 - 6*u**2 + u + 4. Let j be q(i). What is the units digit of 1\/j + (-18)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -47?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -62*y**2 + 191*y - 5. Let q be j(5). Let d = q - -4206\/7. Factor 0 + 2\/7*s**2 - d*s.\nAnswer: 2*s*(s - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**2 - 14874*s + 149040 = 0.\nAnswer: -4968, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 3*i - 3*i + (0 + i + 0)*(-1 - 3 + 5) in the form g + h*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -1\/11, -195.02 in descending order.\nAnswer: 1.3, -1\/11, -195.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 24, 12, -22, -84, -180, -316, -498?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 482?\nAnswer: 1\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 2*f + 3*f + 3*f - 2*f - 3*f + (6 - 3 - 1)*(-4*f + f + 4*f) - 3 + f + 3 - 3*f + 1 - 1)*(f + 4*f - 2*f)*(1 - 1 + f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -8*i**4\/5 - 5218*i**3\/5 - 14586*i**2 - 126108*i\/5 + 137808\/5 = 0.\nAnswer: -638, -12, -3, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 65, 95, 123?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1256764?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784097.\nAnswer: 784097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/13 + 7351568*z\/13 + 7351566\/13 = 0. What is z?\nAnswer: -3675783, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305105509?\nAnswer: 305105509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/11 + 3880*z\/11 + 507498\/11.\nAnswer: -2*(z - 2063)*(z + 123)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -22. Let f(x) = x**2 - x - 1. Let b(c) be the second derivative of c**5\/20 - c**4\/3 + 2*c**3\/3 + 2*c**2 - 392*c. Determine k*f(n) + b(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 260 = 202. Calculate the remainder when 150 is divided by t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 7, b: 4, g: 1, w: 4}. Give prob of sequence jb.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 448*v + 31815. Give b(-71).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.821*0.1.\nAnswer: -0.0821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + r - 24, 6*r - r = -20. Let d be -2 + b\/4*2. Solve 2*g + 5*i = 0, g = -d*i - 2 - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 23, 52, 95, 158?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 3:32 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17201 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055 + -26?\nAnswer: -25.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1)**2*2.\nAnswer: 16*sqrt(5) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000183796891 rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6128 is divided by 6109.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59, 120, 181, 242, 303, 364?\n\"Answer: 61*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(117)*-1 - sqrt(117))\/(2*sqrt(729)).\nAnswer: 5*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -32, -39, -46, -53, -60?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9189 - -10344. Which is smaller: r or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10438853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o**3 - 6*o**2 - 14*o - 5. Let l be k(-3). What is the highest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 3, -1, -7, -16, -56 in decreasing order.\nAnswer: 5, 3, 0, -1, -7, -16, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 - 18*p + 3. Let h be -22 - -5 - ((-3 - -5) + 4). Is x(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 53*b**3 + b**2 - b + 1. What is the units digit of r(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u - 5. Let v(d) = -d**2 - 7*d + 5. Let c be v(2). Let x = -14 - c. Let k(h) = -h + 1. Calculate x*o(m) - 5*k(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -1\/5, 13341670?\nAnswer: 13341670","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 426182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 12 + 164*t**2 - 151*t**2 as n*t**2 + l + q*t and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 v when three letters picked without replacement from {s: 10, e: 2, b: 1, v: 7}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 32. What is the common denominator of -8 - -6 - 21\/w and 19\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 + 188 = 5*x. Let d(v) = -1 + 5 - v + x - 6. Determine d(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1656 + 1640. Let o(r) = -15*r - 79. Let f(j) = -8*j - 40. Let n(p) = -7*f(p) + 4*o(p). List the prime factors of n(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**5\/20 - l**4\/12 + l**3\/3 + l**2\/2 + l. Let b be f(-2). Let d(c) = -b + 9*c**3 + 6*c - 2*c - 5*c. Determine d(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(968)*4 + sqrt(8)).\nAnswer: sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 32*m**3 - 2*m**2 - 3*m + 4. Let t = -5 - -7. Suppose -t*g - g + 41 = 2*a, -4*a - 20 = 0. Calculate the remainder when l(1) is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4662)\/6105*(-2838)\/301?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*t - 28, -56*t - 26 = -58*t - 3*y. Put 13, t, -28 in descending order.\nAnswer: 13, t, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.334322611 rounded to 2 decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588293097 to the power of 1\/3, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 171, -1\/2 in increasing order.\nAnswer: -1\/2, 2\/3, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 407 and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8044 + -8044. Let m(b) be the third derivative of x*b**5 - 1\/20*b**6 - 25*b**2 - 1\/24*b**4 + 0 - 1\/6*b**3 + 0*b. Determine m(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (180\/(-42))\/(87\/(-406)). Solve -6*p + 11*p = 5*z - n, -5*z + p = -4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 0. Let m(a) = 2*a**2. Let t be m(1). Suppose 2*f = -5*g + 16, 2*g - 11 = 4*f + 5. What is the closest to t in -0.2, h, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5946143, 11892283, 17838421, 23784557?\nAnswer: 29730691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2647599 is divided by 400?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3 = 3*l, 0 - 39 = -5*m + 3*l. Let s(g) = 37*g - 8. Let a(n) = -112*n + 23. Let t(h) = m*a(h) + 17*s(h). Is t(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 12, a: 2, o: 2, b: 2}. Give prob of sequence bba.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162918 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2121223033111 + -11?\nAnswer: -2121223033122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -31 + (-31 - 22 - -18) + 23.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317 is divided by 43?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 10:27 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**4 - 264*m**3 + 2649*m**2 + 2910*m = 0.\nAnswer: -97, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5.42, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.03574ng to kilograms.\nAnswer: 0.00000000008803574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110 + 66. Let a = -70.7 + 44.2. Let m = w - a. What is m rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 9. Let f be i(15). Suppose 0*q + 5 = 5*y + 5*q, y - 4 = 2*q. Calculate the smallest common multiple of 4 - f - 15\/(-3) and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9726 - 0.0726. Which is the closest to 2\/3? (a) -1 (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10123 + 405?\nAnswer: -5314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9))**11*m*m**(1\/2)*m**(-3) assuming m is positive.\nAnswer: m**(-71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/5, -3, -0.15, 28 in increasing order.\nAnswer: -3, -0.2, -0.15, 3\/5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (4 - (15 - -2 - 5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85880\/140)\/(-19) - 4\/(-14).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, -23, -42, -67?\n\"Answer: -3*q**2 - 4*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 13.35. Let v = b + 0.2. Let c = -0.2 - v. What is c rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-8))\/(10388\/(-5936))\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**3\/4 - 1189*w**2\/4 - 117719*w\/2 = 0?\nAnswer: -938, -251, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c. Let s(q) = -28*q + 5. Calculate s(l(y)).\nAnswer: -280*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2)*k)**(-3\/17)*k\/k**(-13)*k\/(k\/((k*((k\/(k*((k*k\/k**9*k)\/k)\/k))\/k*k)\/k*k)\/k)) assuming k is positive.\nAnswer: k**(362\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r*r\/((r*r*r**(-8)*r)\/r)))\/(r\/r**(-2\/5)*r)*r**1*r**(-2\/3)*r*r)**(-2\/15))**(-4\/9) assuming r is positive.\nAnswer: r**(-968\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2752 - -1642.1. Let w = 1222 + o. Let t = w - 112. Is 3 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -6 - -2 - (-21 - -7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111 + 119. Calculate the smallest common multiple of c and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 513*b - 512*b. Solve -2*s - 3*d = -20, b*s + d = 7*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3858624 divided by -252\nAnswer: -15312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 3\/7 (c) 0 (d) 0.1 (e) 0.4 (f) -959.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7881556247?\nAnswer: 83, 193, 492013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7539.1 - 7539. What is the nearest to 0 in 1\/6, -5, n, -1\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -1. Let h(g) = 2*g - 2*g + d*g. Let n(j) be the first derivative of j**3\/3 - 3. Determine h(n(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 6. Let v be s(-5). Suppose -5*o = 3*a - 1 - 8, o - 4*a + 12 = 0. Suppose 2*p = -o*p + 2. Solve -2*u = -i - p, i = -v*u - 0*u - 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/1054953 and -71\/44?\nAnswer: 46417932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 402821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 7965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 11 + 10 = c, -c + 4*n + 14 = 0. Let j(w) = 0*w**2 + 21*w**2 - 6*w**c. Let i(k) = -3*k. Determine j(i(b)).\nAnswer: 135*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 48. Let c be (-3)\/(-36)*-1*2. What is the nearest to 2\/7 in c, t, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18.9 + 18.8. Which is smaller: z or -0.035?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 653, 1, 1516, -4, 2 in descending order.\nAnswer: 1516, 653, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1270 - -4160. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n + 4. Let b(z) = 4*z - 1. Let g(r) = -4*r + 2. Let q(j) = -4*b(j) - 3*g(j). Calculate -11*q(l) - 6*t(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7161 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-18)\/g)\/g*g)**(-29)*g**17\/g**(-5\/3))**(8\/15) assuming g is positive.\nAnswer: g**(13672\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 363 + -361. Put d, -6, 6, 1 in decreasing order.\nAnswer: 6, d, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19438 - -19443. Let a(p) = 4*p**2 - 3*p + 1. Let l(v) = -7*v**2 + 5*v - 1. Let k = 0 + 3. Give d*a(f) + k*l(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/4*-1 + -2. Suppose -6 = -3*c + 2*d - 4*d, -10 = -5*c + j*d. Suppose 2*q = -r - c*r + 16, r = 2. What is the remainder when q is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from tktjkkkj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 15. Let z = 59 - q. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -185*i + 9*i**2 - 2*i**3 + 12*i**4 - 11*i**4 + 183*i to the form h + v*i**4 + z*i**2 + t*i + p*i**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48590 is divided by 6938.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -614*l + 5. Let x(d) = 37761*d - 307. Let t(w) = -307*n(w) - 5*x(w). Let j(k) = -k**2. Calculate t(j(m)).\nAnswer: 307*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/32? (a) 0.25 (b) 2 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 14) to base 6\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194245.209 seconds to days.\nAnswer: 2.2482084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/5 of a minute?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.21 + -2.51. Suppose -3*f = -2 + 5. Which is bigger: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g*s**3 - 49*g*s**2 + 306*g wrt s?\nAnswer: -3*g*s**2 - 98*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389633 is divided by 13407?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + t**5 - 3*t**5 + (0*t - 3*t + 4*t)*(3*t**4 - 3*t**4 - t**4) - 4*t**5 - 2*t**2 + 2*t**2 + t**5 - 8*t - 2*t**3 - 2*t**2 + 8*t.\nAnswer: -6*t**5 - 2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - c**2 + 4*c + 2. Let t be u(-3). Let p = t + 65. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11884 - -16662. What are the prime factors of l?\nAnswer: 2, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17799089 by 2542727.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3229.140986 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85666872 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*c*o*q + 2*c*q + 266*c - 3*o**2*q + q wrt o.\nAnswer: -7*c*q - 6*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-6) - 23907\/(-3)) + 4. Suppose 30*u + m = 38*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r. Let y(j) = -755*j**2 - 2*j. What is y(v(c))?\nAnswer: -755*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**11*m**(-10) assuming m is positive.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g**2 + 17703*g - 3601045 with respect to g.\nAnswer: -14*g + 17703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -30.286\nAnswer: -121.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 3879*u**2 - 98826*u.\nAnswer: -3*u*(u + 26)*(u + 1267)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 948991049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5794301\/90 - 64382. Find the common denominator of r and (1 - 0)*41\/(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 6016*d - 59760.\nAnswer: -4*(d + 10)*(d + 1494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.23 + 31.93. What is the third smallest value in -4.83, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29 times 76.7581?\nAnswer: 22.259849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 3*j**4\/8 - j**3\/6 - 31*j**2\/2 - 11*j. Let h(n) be the first derivative of x(n). Find the first derivative of h(t) wrt t.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470862.94 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*d**4 + 25*d**4 + 20*d**4 + (1 - 1 - 2*d**3)*(2 + 2*d - 2) + (-3 + 3 - 2*d**2)*(-d**2 + 0*d**2 - 2*d**2) - d**3 + 2*d**4 + d**3 + d - d + 2*d**4.\nAnswer: 129*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*f - 1284 = -205*f + 975 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 632, 34, 3221.\nAnswer: 2, 34, 632, 3221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -17\/12*f**4 + 0 - 1\/6*f**3 + 10*f**2 + 128*f. What is the derivative of o(m) wrt m?\nAnswer: -34*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 16 = -5*c + 5*l, 4*c - 4 = -3*l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 6*z. Suppose -h - l + 2 = z, -5*h = -4*l - l - 10. Let m = 16 + -11. Sort h, m, -1.\nAnswer: -1, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7912 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c - 96 = -75*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s - 31*s - 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 9704.4, -0.5 in descending order.\nAnswer: 9704.4, 8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -12, -53, -165 in decreasing order.\nAnswer: 2, -12, -53, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 - 3837301*i. Let r(j) = j**2. What is v(r(h))?\nAnswer: 5*h**4 - 3837301*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 0.11 (c) 2 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.27 - 0.23. What is the third smallest value in -0.1, 1\/3, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2140987 rounded to two dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 629615863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.9 - 8. Let u = k - 2. Let w = u - -0.03. Round w to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-145)\/58)\/((-20)\/96).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24807134823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123158952 to the nearest integer?\nAnswer: 11098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 98433 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.53423637 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 146 + 139 - 631 + 122 + 127.\nAnswer: 4*p**2 - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w + 4. Let t = -11 + 7. Calculate z(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168285.06 months to years.\nAnswer: 14023.755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -156.856 - -162.9. Let i = -6 + q. Let m = i - -3.656. Round m to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 102 - 110.2. Let d = -8 - g. Let w = 3.89 + -2.89. What is the second smallest value in 0.3, 0.07, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-252)\/(-420) + 2\/(-20). Let a(k) be the first derivative of -x*k**2 + 4 + 0*k. Let i(b) = -8*b. Give i(a(m)).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.5, -10.746 in increasing order.\nAnswer: -10.746, -0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217 - 4*h + 217 + 214 - 648.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 615 and 4100?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four thirds of a hour in minutes?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**2\/2 + 8*j + 1. Let g be l(8). Let u be (1 - (g - 9)) + -1. Solve p - u = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 28. Let d be a(12). Let w(k) = -3*k - 23. Let x be w(d). Let v = x + -22. Solve 5*u + v = 3*u + 5*c, u + c = -5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 less than -168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let h = -10 + 7. Let d = 2 + h. Put d, 5, n in increasing order.\nAnswer: d, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119863 (base 13) to base 4\nAnswer: -1212303010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -5, 15.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688849014 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4 - 2*n**3 + 9*n**3 - 3*n**2 + 5. Let s(i) = 3*i**3 - 2*i**2 + 4. Let m(q) = 2*j(q) - 5*s(q). Let p be (8\/(-3))\/((-4)\/6). What is m(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 1, h: 1, w: 4, m: 1}. Give prob of picking 1 j and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19778 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p + 35 = 2*d, -35 = -d - 4*p. Solve 3*h + 2*h = w - 15, -d = 5*h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29880*o**2 + 24874*o.\nAnswer: 59760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 15*z - 19. What is x(9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/(-396)*30\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 79 - 50 + 23*z - 42. What is the units digit of u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 h when three letters picked without replacement from mbhbqeqhhmejjhqh.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 + 5778*j**2 + j**3 - 5795*j**2 to c + n*j**3 + s*j + i*j**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716 = -82*y + 186 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*(29\/(-232))\/(5\/8))\/(-1).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16696681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 40 = -4*n - 19, 0 = -2*c - 5*n + 14 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (3 + sqrt(80))**2) + sqrt(20) - (2 + sqrt(20) - sqrt(20))*6.\nAnswer: -101 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + l - 75 = -2*y, 5*l + 866 = -8*l + 853 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3420 (base 5) to base 11.\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 20 - 40. Suppose -x = -h - 2*h. Solve -9 = 3*j, h*j = 2*g + 2*j - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 6 = -5*g - 4*n, 5*n + 19 = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*k = 31*k + s - 2*s - 4, 0 = 4*k + s - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*g = -5*o + 144, -g - 672 = -5*o. Let d = o + -98. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = -18. What is the remainder when 297\/6 - (-1)\/2 is divided by 3\/12 - (-204)\/j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (56\/32*(-30)\/21)\/(3\/(-12)). Let m(i) = -i**2 + 5*i + 4. Let t be m(5). Suppose t*d - 20 = -0*d. Sort -2, d, q in decreasing order.\nAnswer: q, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -10*v - 98. Does 8 divide -4*-3*(-114)\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 11:31 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2113 - -111?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2)*(-106*x - 4*x + 13*x)*(-14*x**2 + 9*x**2 - 36*x**2) as i*x**2 + g + d*x + s*x**3 and give s.\nAnswer: 7954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 780 - 185 = 0. Let p = 187 + z. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 2*k - 3, -4*p - 3*k + 7 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2592) - (sqrt(2592) + sqrt(2592)*2)*-3 - (sqrt(2592) - (0 + sqrt(2592)))*4))**2.\nAnswer: 1036800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.268 rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 560.5285 nanometers?\nAnswer: 0.00005605285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-5)\/(-15))\/((-6)\/(-12)*-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130272943 is divided by 394?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*-2*sqrt(343))**2.\nAnswer: 49392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**3 - 9*p**2 - 10*p - 4. Give o(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100*u - 112 with respect to u.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1674490, -3348964, -5023432, -6697894, -8372350, -10046800, -11721244?\nAnswer: -13395682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35060 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: Let i = 10 + -6. Suppose 0 = i*z - 0 - 44. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 5*h - 12. Let l(m) = m**2 - 8*m + 20. Let t(d) = 3*l(d) + 5*x(d). Let b(g) = 3*g**2. Give 4*b(k) + 5*t(k).\nAnswer: 2*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-6)*u)\/u**(-6)*u**(-6\/5)\/((u*u**6)\/u)*u\/(u**(-3)\/u)*u*(u*u**0\/u)\/u*(u\/(u**(-3)*u)*u)\/(u*u**(-4)*u*u) assuming u is positive.\nAnswer: u**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237165 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270821?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 6*l + 50. Let n be 102\/l + 8\/10. Let r(t) = -t**2 + 6*t + 3. Let m be r(6). Solve w + w = 5*j + 33, 0 = m*j + w + n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -28*o**2 + 1182*o - 259. Calculate v(42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -348, -610, -872, -1134?\n\"Answer: -262*m - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/2315?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 + 4 = 0. Calculate the remainder when f is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 + 10161*a**2 - 3633*a**3 - 2*a - 4158*a**3 - 3343*a**3 + 3*a - 11015*a**2 wrt a?\nAnswer: -66804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66821 is divided by 175?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 9*x - 70. Sort 4, 43, x, -5.\nAnswer: -5, 4, x, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i - 8 + 1894 = 0. Calculate the lowest common multiple of i and 11.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 21*t**2 - 5*t + 9. Calculate h(3).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233674562*i**2*x**2 - 11443*i**2 + 2*x**2 + 9776*x wrt x.\nAnswer: -467349124*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 5*s, 4*i = 2*i + 2*s + 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*u + 33*u - 35*u)*(99 - 99 - 6*u).\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 8*m + 1. Let n be k(6). Let r = n - 17. Let c be (-607)\/(-5) - r\/20. Calculate the greatest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 18048 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*p = -90, -p + 17 = x + 4*p. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.65 - 2.65001878. What is o rounded to six decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from {h: 2, c: 5, g: 1, l: 1, n: 6, d: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 5. Put -5, g, -1\/6 in ascending order.\nAnswer: -5, g, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 8*b - 9. Let n be z(-9). Let h be (n + (-4)\/6)*-3. Suppose h*r = -r. Sort -4, 3, r in ascending order.\nAnswer: -4, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 5*j - 215. Suppose -j*c + 5*c + 12888 = 0. Does 59 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 4*h - 3*j, -12844*j = -3*h - 12840*j - 34 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -85, -100, -81, -22, 83, 240?\n\"Answer: z**3 + 11*z**2 - 55*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 76 = 89. Let f = -22 + v. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -31*w**7\/21 - w**6\/30 - w**5\/20 - 7*w**4\/24 + 33*w**2 - 8. What is the third derivative of o(a) wrt a?\nAnswer: -7440*a - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/2 + 5*l**4 - 12*l**3 - 8*l**2 + 56*l - 48 = 0. What is l?\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b01 - -7ed?\nAnswer: 43ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*f + 2 = 0. List the prime factors of ((-826)\/35)\/(f\/(-10)).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70182686.\nAnswer: 2, 7, 151, 33199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*q = -235*q + 120 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 + 2*i - 320 - 3*i + 320 + (-2 + 6 + 0)*(0*i + i + 0*i) - 2 - 2*i + 2 + (1 - 1 - 1)*(-i + 4*i - 4*i) + 0*i - 4*i + 3*i to y*i + d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -429835*m**3 - m**2 + 10655*m - 10?\nAnswer: -2579010*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1092 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29 in -0.0705, -1\/2, 3\/4, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z + 6160264 = 0. Let s = z + -450132. What is s rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 20, -6*t - m - 102 = -8*t. Suppose q = 3*f - 42, t = -18*f + 22*f + q. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 1. Let f(d) = 8*d**3 + 3*d**2 - 6*d - 14. Let o(t) = -f(t) - 3*j(t). Calculate the remainder when o(-4) is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3482519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**4 - 49*p**2 + 49*p**2 - 7*p**4 - 4*p wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -36*p + 24 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121 and 143?\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from dvqpddvqvvjvx.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -0.2, 15\/23.\nAnswer: -3\/7, -0.2, 15\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d**2*i**2*q - d**2*q**2 - 2786*d**2 - 3*d*i*q**2 - 2531*d*i - 2*d*q + i**2 wrt d?\nAnswer: -10*i**2*q - 2*q**2 - 5572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8134?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12d + -b?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -407 - -770563?\nAnswer: 770156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 11*y**2 + 10*y + 7. Calculate q(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 43 = 17*p - 16*p, 0 = 4*p + 11*z - 122 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 22\/7, 15177, 4?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, d: 3}. Give prob of picking 2 f.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065162840 a multiple of 5395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 777\/(-27) - (-638)\/(-2871).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 17*z**2 + 8*z - 15. Let n(w) = w**3 - 9*w**2 + 4*w - 8. Let y(m) = 5*n(m) - 3*s(m). Is 9 a factor of y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -8*z**4\/5 - 146*z**3\/5 + 1148*z**2\/5 + 10856*z\/5 + 528 = 0.\nAnswer: -22, -6, -1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 664 and 67871590?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + 4?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34128588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.44965 and -0.5.\nAnswer: 6.94965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 160. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -347.6 take away -64?\nAnswer: -283.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21026 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 199915*-1.1.\nAnswer: -219906.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/25*(-555)\/(-74) - 1*11.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52\/(-66)*(1 + (-15)\/18). Let z = 2515\/198 - n. Find the common denominator of -85\/66 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799283147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*j = -81*j + 8, 0 = -3*v + 2*j + 1607. List the prime factors of v.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-4)*(-16)\/6. Suppose -4*k = m*f - 180, -2*f - 2*f - 234 = -5*k. Suppose -o + 39 + k = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b6 (base 15) to base 5.\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -897 + 899. Which is the third smallest value? (a) d (b) 0.3 (c) -0.099\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1802307 and 1802306 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/2 (c) 2\/59 (d) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -86, -3, -6\/7, 5, 16 in increasing order.\nAnswer: -86, -3, -6\/7, 1\/8, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**3 + 163464*n**2 + 17607456*n = 0.\nAnswer: -40758, -108, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729270959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*a = -2*t - 760, -5*a = t - 768. Let y = -890 - -449. Let f = t + y. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + -2 + 2 - ((-2)\/(-18) + 71\/9).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 514 + -518. What is the third biggest value in 0.04, 1\/4, 1, x?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 111\nAnswer: 8\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(-1071)\/(-952)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*r - 4*h, -4*h + 0 = -r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*k + 176*k - 37814. Calculate the lowest common multiple of k and 6.\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25051 is divided by 53?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 289873 - -1753192?\nAnswer: 2043065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -34, 18 in increasing order.\nAnswer: -34, -3, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3427 + -3422. Solve -2*i = -4*c - c - 10, 2*i = -b*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*s - s. Suppose 0 = -0*m - 2*m - s. Let z be (-1)\/m - 14\/15. Which is the second biggest value? (a) 2\/3 (b) z (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-28)*((-489)\/(-4))\/((-51)\/136). Solve -o*t + 12 = -167*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 92.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c + 2. Let z be t(1). Suppose -3*i = -z*i + 18. Let g(v) = -2*v - 3. Let a be g(i). Solve -2*q + 7*q + 2*m = -a, -5*m - 13 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24.5 + -24. Let g = 0 + -1. Let p = 5 + g. What is the closest to 0 in p, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1421 (base 5) to base 2\nAnswer: -11101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1358076?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3328334 + 3?\nAnswer: -3328331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1303.7 + 1301. Which is the nearest to 2? (a) 4 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 503, 1095, 1925, 2999?\nAnswer: 4323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*(-12)\/(-8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -1\/6*a**3 + 1\/10*a**5 + 0*a - 8 - 1\/16*a**4 + 1\/8*a**2. Factor f(l).\nAnswer: l*(l - 1)*(l + 1)*(2*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12193 is divided by 1520.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.642 - -0.142. Let a = -79\/198 - 1\/22. What is the smallest value in a, 2, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1. Let g(i) = -9*i + 3. Give -g(o) - 2*p(o).\nAnswer: 9*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/48472 and 121\/3984.\nAnswer: 290832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3861306 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 12:52 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-32)*4*(-474)\/2.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(17) + -2)*6.\nAnswer: 72 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -o + 13, 3*o = 3*x - 0*o + 15. Let g be 0 + (x - (-2)\/2). Let f = -5.8 - -6. Sort g, 4, f in increasing order.\nAnswer: g, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -167, -177, -193, -215?\n\"Answer: -3*n**2 - n - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 4*y = 3, -886*y + 658 = 7*j - 6*j + 4*j - 1139 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-24)\/(-21))\/((-10)\/35)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5892 times -0.04?\nAnswer: -0.183568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnkjnaanjnnwt. What is prob of sequence jwk?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -75 times -123\nAnswer: 9225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 c when three letters picked without replacement from czwwwggwwcwewccc.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, i: 1}. Give prob of picking 3 f.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 9 + 13 - z - 10.\nAnswer: -z - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 145 and -15212?\nAnswer: -2205740","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5 (b) -1\/3 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, u: 5, l: 3, a: 1, h: 4, t: 3}. Give prob of picking 3 u.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81\/1944467 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 7*l**2 - 2*l + 20. Suppose 2 - 8 = -3*i, 2*u - i - 12 = 0. Give o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 11 = j, 0 = -3*j - j + 3*r + 11. Is -30*(3\/(-12))\/(j\/(-6)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4 + 8*r + 5*r**2 - 10*r + 7 + r. Let b(v) = 1 - 2*v + 6 + 11*v**2 + 0*v. Calculate -4*b(i) + 9*t(i).\nAnswer: i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**3 - 4*n**2 - 3*n. Suppose 0 = 153*b - 148*b - 90. Let x = b + -20. Is v(x) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/11, 1, 23.4038 in descending order.\nAnswer: 23.4038, 4, 1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 13568*j - 827717. Give d(61).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -32. Sort -7, k, 3.\nAnswer: -7, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(4\/3)\/r*r)\/(r**(-2\/3)*r))\/(r*(r\/(r*(r**(-6)*r)\/r))\/r*(r**0\/r)\/r) assuming r is positive.\nAnswer: r**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -17 - (-3 + 1 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 14073 = g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 1354*g**2 + 4 - 5 - 1349*g**2 + 7*g. Calculate y(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - z**5 + (4*z**4 + 8*z**4 - 3*z**4)*(15*z + 8*z - 8*z) - 4*z**5 + 6*z - 6*z.\nAnswer: 130*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 3. Suppose 4*p - 24 = -4*u, -u + 4*p + 19 = -7. Suppose 3*d + u = 1. Give j(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/22698 and 95\/52.\nAnswer: 45396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - x + 5*x)*(2 + 2 - 6)*(2 - 4 - 1) to a*x + t and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 6411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -114*l**2 + 1523*l - 22. What is the remainder when g(11) is divided by 976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 8*h + 8*h)*(-82 + 206*h + 142 - 59).\nAnswer: -412*h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l. Let s be m(1). What is the second derivative of 5*z + 0*z + s*z**5 - 3*z + 3*z wrt z?\nAnswer: 80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14138 - 14073 = 13*h. Solve -5*f + n = -36, -h*n + 21 = 4*f - 2 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2744 + -6189?\nAnswer: -8922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Suppose -4*a + 4*h = -16, 11 = a + a - 3*h. Suppose 4*o = 3*x - 18, -4*x + o + 12 = a. Calculate the least common multiple of n and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310217985.6 rounded to the nearest ten thousand?\nAnswer: 310220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 4*d + 2*w + 2402, 0 = -4*d + 5*w + 2381. Calculate the remainder when d is divided by 174.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 141\/15 - 1\/((-25)\/15) and (-56)\/(-10) - (-2)\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225 is divided by 340.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1188070989 and 3739.\nAnswer: 3739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 510827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 286783 and 1484?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**2 + 790*k - 30960 = 0.\nAnswer: 72, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1225 + 3?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -39*u - 168. Let z(w) = 8*w + 34. Let f(y) = 2*h(y) + 11*z(y). What is the units digit of f(27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/(b*b**(2\/3)))\/b)**35\/((b\/b**(-1\/3))\/(b\/b**6)) assuming b is positive.\nAnswer: b**(-89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2 - 7*a - 2. Let r(z) = -6*z**2 + 7*z + 2. Let t(i) = 7*j(i) + 6*r(i). Let o be t(-4). Solve 0 = c + c - o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209 - 206 - 5*b + 3*b.\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 30.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3033 * -16\nAnswer: -48528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -6 (b) 0.2 (c) -2 (d) 0.3 (e) 17849\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7433301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -6. Let v = i - 1. Let p = 0 + -0.5. Which is the biggest value? (a) v (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 734779122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*9\/75)\/((-1)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(57)*1)\/(sqrt(243)*-4).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1178 and 1026418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 48 = 4*o, -177*t + 24 = o - 0*o - 181*t for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261004741?\nAnswer: 19051, 66191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 302699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 729193 in decreasing order.\nAnswer: 729193, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnpncncpnnnncni. What is prob of sequence ci?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -651500 to the nearest 10000.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 2, z: 3, q: 1, w: 4, k: 1}. Give prob of sequence ww.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7831 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(1 - (-3 - -2)). Solve -4*g = -2*d - 12, d - 4*d - 8 = j*g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20723922*r**2 + 35280240*r - 15015200 = 0 for r.\nAnswer: 2740\/3219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 2*a**2 - a. Let l(y) = 315*y**3 + 12*y**2 - 6*y + 1609. Let u(q) = 6*i(q) - l(q). Differentiate u(v) wrt v.\nAnswer: -963*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:06 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -41.73?\nAnswer: -166.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20721 is divided by 1872.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (15 + -34) - (7 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v**3 - 7*v**2 + 5*v - 7. Let w(b) = 5*b**3 - 3*b**2 + 2*b - 3. Let g(d) = -3*p(d) + 7*w(d). Calculate g(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-51.063\nAnswer: 102.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11313, -29320, -47327, -65334, -83341, -101348?\nAnswer: -119355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4578 not equal to 4597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o + 3*o - 4*o - 2 + 2 - o + (-1 - 21 + 0)*(0 + 0 - o).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o + 12. Let g(h) = -8*h - 24. Let k(y) = 2*g(y) + 5*v(y). What is k(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*w**2 + 18*w**3 + 192*w**2.\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 609*x + 613. Let f be n(-1). Solve 4*t = -w - 15, 0 = 405*t - 409*t - f*w - 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*h*p**2 - h*p + 6723357*h + 523574555*p**2 wrt h?\nAnswer: 16*p**2 - p + 6723357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2 + 156*i + 155 = 0?\nAnswer: -155, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160 + 4*u**2 + 0*u**2 + 160.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8126593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17879?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 41\/3 + 2\/6. Let v = -18 + y. What is the units digit of (162 + (-2 - v))\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1900) + -1*(sqrt(1900) + -4 - sqrt(1900)) - (sqrt(1900) + (-5*sqrt(1900) + -3 - sqrt(1900))))**2.\nAnswer: 840*sqrt(19) + 68453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 2*f**2 - f + 3. Let l = 2 - -3. Let h(n) = 4*n**3 - 3*n**2 - n + 5. Give l*k(d) - 3*h(d).\nAnswer: -2*d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 6*c - 1702754 = -12*h, 4*h + 5*c = 1702743. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/((-7)\/((-7)\/((-931)\/(-7))*19))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 34996 = 16*s - 89*s + 31880 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56462 and 654.\nAnswer: 169386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -8085743.3 to the nearest one thousand.\nAnswer: -8086000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -576 - -893. Does 100 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-13294)\/374 - -36)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 34, -8, 2, 0 in ascending order.\nAnswer: -8, 0, 2, 20, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 9, a: 5, g: 2}. Give prob of picking 1 g and 1 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/7 - (745\/35 - 26). Factor -2\/3*x**3 + 0 + 1\/3*x**5 + 0*x + 0*x**2 - 1\/3*x**a.\nAnswer: x**3*(x - 2)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.05, 4, 30, -2, -1.5?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1740500 by -5900.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 15 = 0. Suppose -2*f = -4*f - 114. Let u = -57 - f. Solve m - z = -u*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 3*i**2 + 125*i - 4 + 7 - 38*i + 0 to u*i + r*i**2 + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 156 + 0?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 4 - 3 + 2*r**2 + 1. Let v(k) = -k**2 + 7*k - 3. Let b be v(6). Is c(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-13 + -1 + 26 - -43)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.625345, -2\/11, 2\/15, 1 in decreasing order.\nAnswer: 1, 2\/15, 0, -2\/11, -0.625345","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q*q**(-1\/8))\/q))**2 assuming q is positive.\nAnswer: q**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73695684563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let x be 12\/(-10)*2\/3. Let w = -319\/4 + 79. Which is the closest to g? (a) w (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhqvqfvqvvdvvqvvvv. What is prob of sequence fh?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -241*u**5 - 90*u**2?\nAnswer: -14460*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2168937605 to the nearest integer?\nAnswer: 46572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*w - 6770 = -1743 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71011*v**5 - 41*v**4 - 2*v**3 - 163282*v**2 + v - 44 wrt v?\nAnswer: 4260660*v**2 - 984*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (56 - 48) + (48 - 2) + -7 - (1 - 1)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 64 + -89. Let i = 29 + d. Suppose 4*j = -i*n - 16, -3*n + n + 5*j = -20. Solve -3*y + 8*y - 10 = n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 7*s**2 - 7*s + 10. Let j be v(-8). Let o be 2\/6*(-3)\/5. Let h = -26.5 + 27. Which is the closest to -1? (a) o (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29976576 to the nearest integer?\nAnswer: 5475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1. Solve 6 = -z + n*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69*(-14)\/1288)\/((-8)\/((-400)\/(-135)))?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - i**2 - i + 12. Let m be t(0). Suppose -m*c = -203 + 35. Suppose -c = -o - 9. Solve 4*q + o*r = -q, 5*r = 3*q - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 372 = -k + 8, i = -2*k + 76. Suppose -5*u + 4*u = x - 14, -2*x = 3*u - 32. What is the remainder when i is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*f + g, 0*f - 5*g - 105 = -5*f. Let p = f + 7. Suppose 7*y - 15*y + p = 0. Sort -2, y, -4, 2 in decreasing order.\nAnswer: y, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176 - 883\/5. What is the nearest to t in 3, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*t - 227*t - 7 = 0. Let b(n) = 11*n**2 - 17. Let o(h) = -3*h**2 + 5. Let x(i) = t*o(i) + 2*b(i). Let d(u) = 28*u**2 + 14. Give d(v) - 14*x(v).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -2*u + 1\/2*u**2 + 0 + 4\/3*u**3. Determine g(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + -2233?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01050204639 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + u + 2. Let d be g(0). Let t(i) = -2*i**2 + 0*i**2 - i**d - 4 + 2*i**2 + 6*i. Give t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*b**4 + 43*b - 45*b - 4*b**2 - 20*b**4 + 2*b**5 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, i: 12, q: 2}. What is prob of picking 1 q and 2 j?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1477, -2677, -4979, -8383, -12889?\n\"Answer: -551*r**2 + 453*r - 1379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 25.7 (c) 3\/7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 12*x + 14. Let u(h) = -9*h - 7*h - 11 + 4*h - 2. Let c(w) = 5*g(w) + 4*u(w). Find the first derivative of c(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64648493, -64648494, -64648495, -64648496, -64648497, -64648498?\n\"Answer: -x - 64648492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, -581, -1654, -3175, -5156, -7609?\nAnswer: -10546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/5 + 3018*s - 15100 = 0.\nAnswer: -7550, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 13 - 1)*(-35*q + 17*q - 27*q - q + q + q + (0 + 0 - 2)*(-1 - q + 1) - q + 2*q - 3*q) - 3*q + 3*q + 4*q.\nAnswer: 576*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4487 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 74*n**2 + 76*n + 81. Calculate the smallest common multiple of d(73) and 500.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**5\/30 + n**4\/9 + n**3\/3 + 21*n. What is v in k(v) = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2074743 (base 10) to base 3\nAnswer: -10220102000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 10*n**2 + 10*n + 11. Let f be v(-9). Factor -6\/5*k + 4\/5 - 6\/5*k**3 - 16\/5*k**f.\nAnswer: -2*(k + 1)*(k + 2)*(3*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - x - x)*(-2233 - 2602 - 19197 - 660) in the form o*x + s and give o.\nAnswer: 24692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-432)\/(-15) - (4 + 64\/(-20)). Solve -5*q = -t + 43, 5*l + 5*q + 25 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10355143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*c, 8 = m - 3*c + 4*c. What is the second smallest value in -4, -0.4, 5\/2, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-2)\/(-8)*(-626)\/1. Let o = 564 - c. Suppose -a + o = -240. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-4479\nAnswer: 40311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.2, 0, -24888?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 2*t - 6, 5*c + 69*t = 71*t + 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -2500.4.\nAnswer: -10001.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6300) + sqrt(6300) + sqrt(6300) + 2)*-1)**2.\nAnswer: 360*sqrt(7) + 56704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16537819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orki when four letters picked without replacement from viokrkn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 73 + -3e?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023417 divided by -60201?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.21, 6\/5, -2\/383, 1 in increasing order.\nAnswer: -0.4, -0.21, -2\/383, 1, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p - 2*p - 12*p - 6*p - 3*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101750632?\nAnswer: 2, 101, 125929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/(-10)*(-75)\/(-38) and -3 - -9 - 72\/5 - 2?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-40)\/12)\/((-2)\/6). Suppose 0 = -3*o - o + 100. Calculate the remainder when o is divided by a + -7 + 6*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4502 + -2886. What are the prime factors of n?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.4, 0, 2\/15, -0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 3. Let v be c(0). Suppose v*h - 5*s = -31, -5 = -0*s - s. List the prime factors of (-44 - (1 + h))*-1.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (252\/147)\/((-2)\/(-21)). Solve -j + 5 = 0, x + 5*j - 12 = n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 + 3276368*c + 9829140 = 0. What is c?\nAnswer: -3, 819095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, o: 6, e: 4, d: 4}. Give prob of sequence ed.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 4 - (4 - 3)) + (3 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -15*v**2 - 4*v - 4. Suppose 2*o - 2*l + 16 = 0, 40*o + 27 = 37*o + 2*l. Let w(u) = -44*u**2 - 11*u - 11. Calculate o*z(i) + 4*w(i).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1fef2 (base 16) to base 11.\nAnswer: 8a301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146 + 21 + 113)*(3 + 1 - 3)*(g + 4*g - 3*g).\nAnswer: 560*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgg when three letters picked without replacement from mgmmjjgmmmmmgmm?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/10 + 47*s**3\/10 - 247*s**2\/5 + 464*s\/5 + 2112\/5 = 0.\nAnswer: -2, 8, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1088065 divided by -803.\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 51.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 103*q**2 - 706*q - 58. Give l(7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16214465, -16214429, -16214379, -16214309, -16214213, -16214085, -16213919, -16213709?\n\"Answer: z**3 + z**2 + 26*z - 16214493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60939 and 190809?\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*a - 3*v, 2*a - 22 = -4*v + 6. Suppose 4*g = -a*f + 3*f + 43, 0 = f + g - 14. Suppose -5*n + f = -12. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 5 + 13*w**2 - 15*w**2 + (-2*w - 2*w + 3*w)*(-2*w + 0*w + w) in the form y + o*w**2 + z*w and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1015 (base 8) in base 9?\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.515345 + -34.6.\nAnswer: -34.084655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 + 32*x**2 + 57 - 25 - 32*x**2 to the form t + b*x + r*x**2 + v*x**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*l + 1627*l + 1905*l = 1012*l + 2719 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99383579.\nAnswer: 61, 67, 24317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -576, -7\/2, -25, -2, -0.2, -4\/9?\nAnswer: -576","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*(5 + (-164)\/36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 324 - 324. Is m equal to 9\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208\/5 + -431\/10. Let v = -19\/3 + 41\/6. Let k = -339\/5 - -68. What is the fourth biggest value in 2\/21, u, k, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -817237 divided by 2.\nAnswer: -817237\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 2*g + 4*g + 5*g - g - 3*g + (0*g + 5*g - 3*g)*(-5 + 5 + 2) - g + 2*g + 0*g - 3*g + 5*g - 3*g - 5*g + 4*g + 2*g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1813, 9260, 22343, 41062?\n\"Answer: 2818*u**2 - 1007*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -276b + 22?\nAnswer: -2749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22539265, -45078539, -67617813, -90157087, -112696361?\n\"Answer: -22539274*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 0*h - 15 = -x, 60*x - 58*x - 38*h = 190 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0121166066 to five dps.\nAnswer: -0.01212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 16. Let v(a) = -a + 2 - 8 + 14 - 7. Give -i(r) - 3*v(r).\nAnswer: r - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f + 1518. Is 8 a factor of i(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5091 + -10181\/2. Let q = -9 + 17. Let s = q + -13. What is the second smallest value in p, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**6\/120 + 7*q**5\/10 + 15*q**4\/4 - 85*q**3\/6 - 3*q**2 - 3555. Calculate h(44).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -20*g**2 + 173*g + 5890. Calculate j(22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8582 + 46*t**2 - 94*t**2 - 8605 + 49*t**2.\nAnswer: t**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -524 + 252. Let y = 723 + f. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63 - 2) + 23 - -40.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1059 + 1602. Let w = 1020 - p. List the prime factors of w.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = 0, 14 = j + 5*q - 8. Let a be j - 4 - 141\/(-3). Calculate the greatest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -157, -148, -125, -82, -13?\n\"Answer: j**3 + j**2 - j - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 500317691*m - 278269192.\nAnswer: 500317691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -20*j - 5. Let t(p) = 11*p + 2. Let i(w) = 5*t(w) + 3*v(w). What is i(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/((-20)\/6 - -4). Let u(y) = 3*y**3 - 4*y**2 + 4*y. Let g(k) = -k**3 + k**2. Let x(q) = r*u(q) + 4*g(q). Find v such that x(v) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 86323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 8*x**2 + 7*x - 13. Let j be d(-9). Suppose -2*p = 5*s + 14, -5*s = j + 5. Let b = -80\/3 - -542\/21. Which is bigger: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*q + 880, 1760 = 4*s + 5*q - 10*q. List the prime factors of s.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -16*s + 4. Let q(z) = 7*z - 3. Let w(m) = -4*n(m) - 9*q(m). Let x(g) = g + 12. Calculate 3*w(c) - 2*x(c).\nAnswer: c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or -107?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 11:00 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 3)*(3 + -4). Suppose -5*d + l*f - 84 = -2*f, 5*d - f + 82 = 0. Calculate the remainder when 13 is divided by ((-4)\/d + -2)*-4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5406, 10803, 16196, 21585, 26970?\nAnswer: 32351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 578.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -523, 0 in decreasing order.\nAnswer: 2, 0, -523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let z = 18957 - 56872\/3. Which is the third biggest value? (a) z (b) 1.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/7)*z)\/(z*(z\/(z\/z**(2\/27)))\/z))\/((z\/(z\/(z*z\/(z*z\/z**(-2\/25)*z))))\/(z**11\/z*z)) assuming z is positive.\nAnswer: z**(66853\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/7 and 50\/399.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -45, -1\/5, -0.196, -4\/31, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -525, 3, 1\/2, -23, -2\/3 in ascending order.\nAnswer: -525, -23, -2\/3, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 184.778679 to the nearest integer.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30499*r**3 - 1689*r**2 - r + 8 wrt r?\nAnswer: 182994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oweeoeoeoeoiedehh. What is prob of sequence he?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(196))\/sqrt(4))\/(sqrt(1008)*-1) - ((sqrt(112) + sqrt(112) + 0)*6 - sqrt(112) - -6*(sqrt(112) - (sqrt(112) + -2))))**2.\nAnswer: 1060*sqrt(7) + 496759\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -186*p - 2027. Let v be h(-11). Let f(x) = -x**2 + 19*x + 15. Determine f(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344 (base 6) in base 2?\nAnswer: 101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 5. What are the prime factors of f(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(70\/(-60)))\/(18\/(-84)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374806616 and 12.\nAnswer: 1124419848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-217)\/124)\/7*-2*4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4*x - 14 = 0. Suppose -x - 13 = -5*g. Calculate the highest common divisor of 16 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - j - 58 = -8*z, -z + 6 = -3*j. Let x be (45\/6)\/(-5)*(z + 4). Let s = 53 + x. What is the highest common divisor of s and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 15*w + 84. What is the smallest common multiple of p(-9) and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 100458481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 12:04 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (3*(sqrt(425) + -1) - sqrt(425))) + (sqrt(425) - (sqrt(425) + 1 + sqrt(425))*5).\nAnswer: -50*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -3 - (12 - 16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 25. Let i = 12183 - 12175. Give m(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from yjjpjyozjjppooojj.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 3\/(-1)) + -2 - (9 + -107). Put 1, h, -5, 3 in increasing order.\nAnswer: -5, 1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2700 - -2772. Solve 2*u = c - 78 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from wkwwjwwkwwwwpjww?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 - 3*j - 7. Let c be (-165)\/(-6) - 1\/(-2). Let q = c - 14. Let o(a) = 3*a + 3*a + 20 - a**2 - 8*a**2 + a**2 + 2*a. Give q*s(r) + 5*o(r).\nAnswer: 2*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 822*l - 430*l - 408*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -5, 291986, -3.\nAnswer: -5, -3, 0, 1, 291986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = o - 109398, -2*x + 14*o - 9*o + 218747 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -27*m - m**2 - 9 - 27*m + 47*m. Let l be j(-5). Is (-2696)\/(-4)*l - (1 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c. Suppose 3*v + 0*v - 6 = c. What is the third derivative of 4*k**v - 36*k**6 + k**2 + 33*k**6 wrt k?\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173288957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 119*j + 49. Let s(f) = 10*f + 4. Let t = 8 - -27. Let b(a) = t*s(a) - 3*o(a). Let u be b(2). Is -23 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**4\/4 + 14*j**3\/3 - 19*j**2\/2 - 24*j + 33. What is the tens digit of o(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -4*x + 6. Let a = x + 28. Suppose 4*t + 1 = -3*p, -5*t + p = -0*t + a. Put t, 1, -5 in decreasing order.\nAnswer: 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47845, -95688, -143531, -191374, -239217, -287060?\n\"Answer: -47843*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = 3*c + 4*b, -4*b = c - 5*c + 384. List the prime factors of c.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3422516 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -24) + (2 + -12 + 0 - -7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3679*r + 3769*r + 637 = 2617 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (2 - 18)) + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2931197, 5862396, 8793597, 11724800, 14656005, 17587212, 20518421?\nAnswer: 23449632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**3\/3 - 3*a**2 - 9*a + 4. Factor o(p).\nAnswer: -(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 5*d**2 + 7*d + 8. Let b be w(-6). Suppose -4*j = -3*f + 5 + 13, -j = 4*f - 5. What is the units digit of (f\/(-2))\/(b\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 84*f**3 - 798*f**2 - 884*f.\nAnswer: -2*f*(f - 26)*(f - 17)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 184875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/20 - 5*l**4\/12 + l**3\/2 + l**2 + 6*l. Determine m(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8956.706 - -24861.\nAnswer: 15904.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1817867 times -0.4\nAnswer: -727146.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -10 (b) -53\/3 (c) 1\/4 (d) -5\/6 (e) -5 (f) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 53*o - 81. Give k(-3).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*k + 13 = 0, 0 = -0*x + 3*x - 2*k - 13. Which is smaller: x or -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78217, -74704, -71191, -67678?\nAnswer: -64165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 4*x**4 - 3*x**4 + (6 - 1 + 0)*(-5 + 5 - x**4) + 5*x**2 + 5*x**4 - x**2 - 2*x**4.\nAnswer: -3*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytt when three letters picked without replacement from {y: 7, t: 7, c: 4}?\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-1 + 4 - 28 - -2) + 3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, 1 in descending order.\nAnswer: 7, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 9. Which is the third biggest value? (a) -1 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22670\/61 at most as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -24. Let y = 15 - q. What is the first derivative of 3 - 1 + 3*i**y - i**4 wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*j + 101*j + 117*j - 28 = 20*k, -4*j - 3*k = -23 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(20\/(-1)))\/((-10)\/20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*l - 22976 = 87*l + 27904. List the prime factors of l.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2465228 and -3686.\nAnswer: -2468914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/55*3\/9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-132)*-14*(-49)\/343*2\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -2024334?\nAnswer: -2024334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 - 0.1. Let z = b + 3. Let o = 1525.7 + -1518.7. Do o and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -211*k - 52. Suppose 26*v + 192 = -42. Is t(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 7. Let p be z(-8). Let v(c) = 2*c - 5. Let h be v(4). Calculate the greatest common factor of h and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 5*w**2 + 6*w - 4. Let u be d(-6). Let n = u + 9. Suppose n*j + 0*j = 25. Solve -4*z + 0 = -3*r - j, 2*z - 3*r - 7 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 920, 7415, 25086, 59525, 116324, 201075?\nAnswer: 319370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhfhhfh. What is prob of picking 2 f?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -393754742*k - 636521855 wrt k?\nAnswer: -393754742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:49 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -17.95. Let l = -0.25 + h. What is the closest to 8 in l, 2\/7, -2\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(((-15)\/3)\/(-20)). Solve -g = g - o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 11*v - 2. Let p be j(-11). What is the third smallest value in -2.2, p, -4, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2170 - 14*u**3 - u**3 + 2170.\nAnswer: -15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 11. Let m be f(-5). Suppose 46 = 9*w - 161. List the prime factors of (-40)\/m*(1 - w).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 849, 847, 845, 843, 841?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + (-17 - (-6 + -6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 109559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3500 and 672.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/30 + 5*g**2 - 49*g. Let b(t) = -346*t + 2. Give x(b(y)).\nAnswer: 239432*y**2 - 2768*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/5, 2\/5, 0.9, -1\/3, -0.2.\nAnswer: -17\/5, -1\/3, -0.2, 2\/5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amiahiaahtmi. What is prob of picking 1 a, 1 i, 1 h, and 1 t?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**4 + 78*w**3 + 526*w**2 + 480*w. Let k(t) = -6*t**4 + 156*t**3 + 1037*t**2 + 960*t. Let v(b) = -10*c(b) + 4*k(b). Factor v(i).\nAnswer: -4*i*(i + 1)*(i + 8)*(i + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 695643?\nAnswer: 3, 13, 17837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 57?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325304307.\nAnswer: 3, 83, 435481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - q + 0*q - 3*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-3 + 0)) + 6 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (300 + 55)\/((-5)\/(-42)). What is the greatest common factor of 126 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - a. Let l(y) = -5*y**2 + 3*y + 1. Let v(z) = l(z) + 4*u(z). Let k = -17 - -14. Let c be k*8\/6 + 2. Give v(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) -5\/3 (b) -2 (c) 0 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254692492?\nAnswer: 2, 19, 41, 81737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 143*r - 6399. What is t(-35)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -31859.6464 to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 21\/20*o**5 + 3*o**3 + 0*o**4 + 0*o**2 - 35*o + 0. Find the second derivative of j(i) wrt i.\nAnswer: 126*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2793)\/(1421\/29) - (-52)\/4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2294?\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 433270825 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 - 57. Suppose -2*h - h + 2*r - 34 = 0, -5*h = 3*r + 82. Is c greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-2 + 2 + sqrt(13))**2*2.\nAnswer: -8*sqrt(13) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/33*-5*21\/2695*-77.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/((-2)\/(-62)))\/1. Suppose 4*f + j = -a, 2*f = j + j - 28. Let u = f + 14. Solve -3*n - 3*x - 15 = -0*n, -u*n - x = 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213\/56093 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4770, 9423, 14072, 18717, 23358?\n\"Answer: -2*v**2 + 4659*v + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*g + 32 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 157*t**2 + 4 - 120*t**2 + 280*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/7336 and 11\/2.\nAnswer: 7336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(2*k - k + 0*k + (0 - 2 + 0)*(5*k - 3*k - k) - 1 + 1 + 2*k + 0*k + 2*k + 0*k)*(38 + 27 - 90).\nAnswer: -75*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -3*z**3 + 3\/80*z**5 + 0 + 4*z - 5*z**2 - 71\/32*z**4. Factor h(b).\nAnswer: 3*(b - 24)*(3*b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 7\/10*m**5 + 0 + 1\/3*m**4 - 7\/3*m**3 + 2*m - 2*m**2. Factor i(t).\nAnswer: 2*(t - 1)*(t + 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1932 and 2139?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(95) + sqrt(95))*-3)\/(sqrt(245)*2) + -5 + sqrt(19)*-2 + sqrt(19) + 5 + sqrt(19) + 4.\nAnswer: -9*sqrt(19)\/14 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198 - -278. What is the common denominator of (-4)\/10 - 538\/q and ((-18)\/(-14) - 1)*581\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**5\/20 - 5*y**4\/6 + 25*y**3\/6 + 6*y**2 - 3*y - 62. What is d(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - 129897.8756.\nAnswer: -129895.8756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/4 - -3)*-2. Suppose 0 = v - 4 + a. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxbljbxcn. What is prob of picking 1 n, 1 c, and 1 j?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 38, -3, -0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/16053 and 5\/12?\nAnswer: 64212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*m - 5*y, -3*m = 4*y + 16 - 33 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 10724?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/39)\/(4\/(-6)). Let m = -2.2 + 7.2. Which is the second biggest value? (a) u (b) -1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*10\/105 + 4\/(-5). What is the second biggest value in -0.214, -1\/3, d?\nAnswer: -0.214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5 + -5 + sqrt(252) + 0 + 2 + -5)*-1)**2.\nAnswer: -156*sqrt(7) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5523 or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z. Suppose -5*f + 19 = 3*r, r = 2*f + 4 - 5. Let x(k) = -37 - k**f + 16 + 21. Determine p(x(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -26. Let u(x) be the third derivative of x**6\/120 - x**5\/12 - 3*x**4\/8 + x**3\/6 + 3*x**2. Is u(p) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 6*s = -9*s. Let b be (s\/(-1))\/((-144)\/72). Factor b - 4\/9*y**5 + 4\/9*y**3 + 0*y - 4\/9*y**2 + 4\/9*y**4.\nAnswer: -4*y**2*(y - 1)**2*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2001312 - -202403?\nAnswer: -1243404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 0. Suppose -13*x = -14*x + 4. Let v = -0.1 + 0. Which is the nearest to q? (a) x (b) v (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(1*sqrt(1573) + 3 - ((sqrt(1573) - 2*sqrt(1573) - sqrt(1573)) + 0)))**2*-1.\nAnswer: -127493 - 1782*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**4 - 5268*r**2 + 6*r**3 - 20*r**3 + 5269*r**2 + 91 wrt r.\nAnswer: -96*r - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5482.95+52.1\nAnswer: -5430.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139\/88 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0173 less than 30197?\nAnswer: 30196.9827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, -149, -347, -635, -1019, -1505, -2099?\n\"Answer: -k**3 - 36*k**2 + k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**3 + o**2 + o + 4. Let h be g(0). Solve j - h*j - t = -1, 3 = -3*j + 3*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4*j - 4 = 0, -21*c + 15*c - 3 = 3*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/6))\/d*d**(1\/5))\/(d*(d**7\/d)\/d*d*d**(-1\/2)\/d) assuming d is positive.\nAnswer: d**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -133303232132?\nAnswer: -133303232230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -1991.\nAnswer: -1991, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46948 or -47036?\nAnswer: -47036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -205\/21 - -61\/7. Find the common denominator of i and 1\/6 + 8 + (-497)\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -926333300 rounded to the nearest 1000000?\nAnswer: -926000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/17 - 28*a**4\/17 + 60*a**3\/17 + 88*a**2\/17 - 254*a\/17 + 132\/17 = 0. What is a?\nAnswer: -2, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 627*f - 601*f - 77220 = 0. Is 69 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5\/4)\/u**(1\/3)*(u*u*u**(-7)*u*u*u*u*u)\/(u*u**2) assuming u is positive.\nAnswer: u**(-55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 275390, 275389, 275388, 275387, 275386, 275385?\n\"Answer: -w + 275391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 945. Let p(r) = r. What is p(h(d))?\nAnswer: -3*d - 945","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o - 24. Let f be 2*1\/((-4)\/(-230)). Let l = f - 85. What are the prime factors of z(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17, 4, 39, 88, 151, 228?\n\"Answer: 7*n**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255342 by -44.\nAnswer: -127671\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 6*q**2 + 9*q + 7. Let r be h(-4). Let t(k) = 5*k - 36. Let x be t(r). What is the closest to 0 in -0.3, x, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -0.4 (b) 2\/13 (c) 3\/8 (d) -4\/9 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -95. Suppose 2*f - 3*u = -60, 5*f + 0*u = 3*u - 150. Let a = f + 49. Calculate the highest common factor of v and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -649 - -580. Let o = 477.9 + -409. Let x = t + o. Put -0.3, 1\/3, x in increasing order.\nAnswer: -0.3, x, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.8 (c) 2\/3 (d) -26 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798 greater than 1896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 + 93*b\/5 + 96\/5.\nAnswer: -3*(b - 32)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(8\/10))\/((-10)\/60). Suppose -q*j = -3627 - 4473. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4210?\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 11 = 19. Solve -1 = -3*u + w*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*p - 952 = -98*p. Let b(g) be the second derivative of 0 + 1\/25*g**5 + 0*g**2 + 1\/15*g**p - 4\/15*g**3 - 9*g. Solve b(y) = 0 for y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, n: 1, h: 7, r: 3}. What is prob of picking 1 x and 3 r?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -y + 12. Let t be 10\/(-15)*1*y. What is the third derivative of -1 + 3 - 2 - 6*i**t - 3*i**4 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -5*f - 2, 6*v + 18 = -f + 2*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91588 and 35952?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -1673, 0, -0.2, -0.04?\nAnswer: -1673","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 8. Let s be j(6). Suppose s*r + 7 = -1. Suppose -3*v = 2*v + 15, 0 = -5*l - v - 8. What is the second smallest value in r, l, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 0*f**3 + 0 + 1\/6*f**4 + 5*f + 0*f**2. Let z(h) = 2*h. What is w(z(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1442)\/(-98) - 13)\/(1 + (-8)\/7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/7)*o)\/(o**(2\/9)\/o)*(o*o**(-1\/7))\/o**(-3))**(-15\/8) assuming o is positive.\nAnswer: o**(-545\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1)**(-12)\/(k\/k**(2\/5)*k)**2*(k**1\/(k**(-3)*k))\/(k**(2\/5))**(1\/45) assuming k is positive.\nAnswer: k**(-47\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 36 (b) -21\/5 (c) 2\/7 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, 1, -3\/89 in descending order.\nAnswer: 1, -3\/89, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**2 + q**3 - 6*q**2)*(55*q**2 - 50*q**2 - 3*q - 3*q).\nAnswer: 5*q**5 - 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/4*2\/(-3)*(-56)\/(-196). Let m = 0.4 - -2.6. Sort -4, m, -0.4, t.\nAnswer: -4, -0.4, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46409 at least as big as 46411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2217292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 7*p**2 + 9*p + 7. Let w be h(-6). Let b = 2453.8 + -2454. Put 0.1, -3, b, w in descending order.\nAnswer: 0.1, b, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.064? (a) 4 (b) -0.4 (c) 60 (d) -1\/722\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/12 - f**2 + 17*f. Is p(4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Let q = l + -2.97. Let s = -4.03 + q. What is the nearest to 2 in 1\/5, 1\/3, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-23)*k**(-23)*k assuming k is positive.\nAnswer: k**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + -1 - (sqrt(18) + 0))**2 + -2.\nAnswer: -4*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252 + 610 - 274 = 12*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, -3, -2\/13, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1295, -4775, -10493, -18389, -28403, -40475, -54545?\nAnswer: -70553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 296*a - 33*a**2 + 2 - 296*a to the form l*a**2 + d + m*a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 176146960 to the power of 1\/2, to the nearest integer?\nAnswer: 13272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130567 is divided by 6868.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/10)\/((-4)\/10). Let a be 4 - (-1 + -4*(-12)\/8). Is z less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4040 or 4381?\nAnswer: 4040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**5 - 7735*u**4 - 1907310*u**3 + 5768290*u**2 - 5783735*u + 1930485 = 0.\nAnswer: -219, 1, 1763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c = 2*z - 3, -2*z = 4*c - 12. Suppose z = -h + 10 - 8. What is the second derivative of f**2 - 8*f**2 + 15*f**2 - 2*f - 5*f**h wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 775, -3 in decreasing order.\nAnswer: 775, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/13 + 40648*x\/13 - 40402496\/13.\nAnswer: -2*(x - 19276)*(x - 1048)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/6 - -2)*2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8091 equal to -8153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -104*j + 2178. Give x(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 15 - 2190*g**2 + 2186*g**2 + 12 - 22*g to a*g**2 + i*g + h and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -7\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/32? (a) 3 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.35. Let w(j) = j**3 - 25*j**2 - 19*j - 180. Let n be w(26). What is the third smallest value in n, -3, 1.6, f?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1528 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2569, -4460, -7611, -12022, -17693?\nAnswer: -24624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 556422 times -103\nAnswer: -57311466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1877 divide 8084587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 519237537*-0.1\nAnswer: -51923753.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 17142384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/45)\/((-6)\/4*(-660)\/19602)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-66)\/(-66))\/((-2)\/(-4)). Solve -16*h - f*j = -14*h - 14, -2*h - 5*j = -23 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -1.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 250376, 250375, 250374, 250373, 250372, 250371?\n\"Answer: -v + 250377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 4*c + s, 6*c + 15 = 3*c + 3*s. Let g(a) = -a - 1. Let k be g(3). Let i = k - c. Calculate the highest common divisor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*o - 6 = 2*p, -2*p = -4*o + 10. Suppose p = -4*w + 3*w, 5*t - 2*w - 41 = 0. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52.5 - -53. Let f(l) = l**3 - 2*l**2 + 2*l - 3. Let d be f(2). Let y = -2.3 - -0.3. What is the nearest to d in y, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377385135 greater than 1377385135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 152*t - 7569. Calculate p(50).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/9400 and 57\/752.\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526925.\nAnswer: 5, 7, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1048.7 - 1068.7. Let r = -34 - -240\/7. What is the closest to -1\/7 in r, -1, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1866 divided by -6.\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/2 + 51*r**2\/2 - 112*r - 138 = 0.\nAnswer: -1, 6, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10010 + 5?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 10\/14077?\nAnswer: 10\/14077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 23*t + 3. Let u be p(-23). Suppose -2*d - 4*l + 32 = 2*d, -4*d = -2*l - 8. Let o = 10 + -6. Solve u*i = 5*i + s + o, -6 = -2*i + d*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 959 is divided by 246?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i + 40. Let p = -76 - -70. Let j be ((-4)\/p)\/(i\/(-75)). Solve -j*u - 10 = 2*b, 4*b - 3*u = -0*u + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccyy when four letters picked without replacement from yyycyyyyyyc.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -24*t - 18. Let x be p(-6). Let o = -61 + x. Let f = o + -64. Solve 4*n = 3 + f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = -8. Let t be h\/8 + (-1)\/(-22)*5. Is 0 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8*f = 10. Suppose v - 31 = -2*p, 2*v - 2*p + p = 67. Suppose -5*y + 2*y = f*d - v, y = -d + 14. What is the remainder when 35 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, 5, 1 in increasing order.\nAnswer: -10, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x - 4. Let k = x + -3. Let m be (-8)\/(-6) - 0\/(-6). What is the third biggest value in k, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/18)\/(1*-2) - 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/1648*(-8)\/30. Let t = q + -917\/1545. Let f = 143\/3 - 48. Which is the second smallest value? (a) t (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Let i = x + 8. Find the common denominator of 26\/5 and 4\/i*(-12)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*s**2 + 2 - 38*s**2 + 36*s**3 - 43*s**2 in the form p*s**2 + r*s**3 + y*s + m and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -149*z + 1365. Let c be t(9). Solve 218*h = 230*h - c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 5 + 37 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343967?\nAnswer: 13, 26459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**3 + 7*v**2 + 5. Let w(y) be the second derivative of y**5\/20 - y**4\/12 - y**2\/2 + 618*y + 3. Give k(g) + 4*w(g).\nAnswer: -g**3 + 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9823 from -1.8.\nAnswer: 9821.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.673 to 0 decimal places.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqsssqssrq. Give prob of sequence sqqr.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173128*c + 346805*c - 173679*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-1)\/7)\/(((-3)\/84)\/((-996)\/(-254976)))\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.06 (c) -1.5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**3 + 14*d**3 - 39*d**3 + 9*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulylyuvluuvuulvucf. Give prob of picking 1 u and 1 y.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 11*z - 4*z**2 - 11*z + 10. Let v(u) = 2*u**2. Determine v(j(m)).\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsssevk. Give prob of sequence ee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 4 + 1 + (-749)\/1. Let j = 1697 + z. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 469 - 680. Let n = -211.94 - a. Round n to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 + 36*h**2 - 301*h + 3223. Give k(15).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 17, -3\/8, -3\/10?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 8*v - 7. Let p be l(7). Let z be 2*(-1 + p - -3). Solve 0 = 5*c - 3*f + z, -3*f + 8 = -2*c - 5*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566 is divided by 177?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 7*o + 29. Suppose 12 = b + 4. Is 14 a factor of v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26372077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -59790 <= -59777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4531341311 + 1?\nAnswer: -4531341310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 4. Let o = 3 + -10. Let p be x(o). Is 12 a factor of 8\/(-36) + 580\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1170)\/27)\/((-12)\/(-18)). Let f(v) = -7*v - 5. Let m be f(-10). Let j = m + i. Solve j*x = -3*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5069, 40974, 138465, 328334, 641373, 1108374, 1760129, 2627430?\n\"Answer: 5132*l**3 + l**2 - 22*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -10*o. Let k be g(-1). Let c = 34 + 46. What is the highest common divisor of k and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*z + 4, 2 + 0 = 3*k + 2*z. Solve 4 = -x - k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -4, 306, -1 in decreasing order.\nAnswer: 306, 6, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 18*q + 2 + 3 in the form h*q + j and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420369126 to the power of 1\/3, to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**3 + 10*n**2 - 2*n. Let h = -25 - -18. Let f(j) = 19*j**3 - 31*j**2 + 7*j. Let i(m) = h*t(m) - 2*f(m). Suppose i(d) = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y - 10. Suppose 0 = -4*x + 6 + y. What is the units digit of (x + 8)*3\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141274 + 302445. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihyc when four letters picked without replacement from {a: 3, i: 1, h: 3, y: 1, c: 4, l: 5}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -9?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from {l: 7, b: 3, n: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2266817 (b) -2\/3 (c) 0.2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 14. Suppose -y = 5*r - 1540, 0 = -5*r + r + j*y + 1213. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 3*c - 12, 2*c = 2*x - 4*x + 4. Solve -x*u + u = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215357 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: What is the next term in -44, -77, -110, -143?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*4\/12*-6. Let u be (-2)\/6*(4 + d). Solve u = -3*k + 2*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -0.17, -2\/11, -43?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.29 + 31. Let n = 40.21 + -40. Let a = h - n. What is a rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4377705cm in micrometers?\nAnswer: 4377.705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 b when two letters picked without replacement from {b: 1, g: 1, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 151\/11*v - 7*v**2 + 1\/11*v**3 - 75\/11 = 0.\nAnswer: 1, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 333988, 1335951, 3005886, 5343793, 8349672, 12023523, 16365346?\n\"Answer: 333986*b**2 + 5*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/(12\/36). Suppose t = 2*i, -5*i + 3 + 4 = 2*n. Solve -4*a + 11 = -n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9670 + -518. List the prime factors of r.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*y - 147 = 0, 0 = -2*a - 2*y - 30 + 108. Let j be (1 + 6\/(-10))*20. Solve -a*g - j = -31*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/14 - (3 + (1 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 10:57 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -663 - -1169. What is the remainder when s is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -19\/2*c**3 + 104*c**2 + c + 0 - 27\/8*c**4. Differentiate m(w) wrt w.\nAnswer: -81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, 8, 77, 218, 455?\nAnswer: 812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 4. Let h = -60 - -59. Put -0.4, h, w in increasing order.\nAnswer: h, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:52 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0996 + -0.0279. What is j rounded to 3 decimal places?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*b - 9, 0 = -3*y + 4*b + 26. Let o = 0 - -6. Let g(r) = r**2 - 5*r - 4. Let d be g(o). Are y and d nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 + -194. Solve -q*y - 17 = -1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4))**6\/((t**(2\/19)*t)\/(t*t*t\/(t**(-6)\/t)))*(t**(1\/6)\/t**4)**(3\/16) assuming t is positive.\nAnswer: t**(5883\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.054*-0.022.\nAnswer: 0.001188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1624 + 2617. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/20*70\/(-2). Let p(h) = -10*h + y - 449*h**2 - 2 + 450*h**2. What is p(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = t - 11560, 454*u + 10 = 452*u. List the prime factors of t.\nAnswer: 5, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4772*p - 906*p - 5729*p.\nAnswer: -11407*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/3 + 20*t**2 - 158*t\/3 - 320 = 0. What is t?\nAnswer: -32, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 48 = -26*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**4*(q*q**(-2\/5))\/q*(q*q*q**(-2\/7))**(16\/3)*(q**0\/q**5)**(-1\/3) assuming q is positive.\nAnswer: q**(778\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = -87*w - 27*w + 49 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -5, -3294?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h - 4769 = 5*n, -4*h - 4*n + 19052 = 0. Suppose 804 - h = -11*z. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0 (c) -2\/7 (d) 5733\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16544, -32052, -47572, -63110, -78672, -94264, -109892?\n\"Answer: -h**3 - 15501*h - 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16.8247392078 and 84.\nAnswer: 100.8247392078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 259*z**2 - 520*z - 551. What is r(261)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-11 - -4) + 8 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*f - f = 15*f - 1507 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 264054, 264055, 264056, 264057, 264058?\n\"Answer: s + 264053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 - ((-14)\/5)\/((-10)\/(-1272325)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 5*n**2 - 3*n + 8. Suppose 78*d = 98*d - 100. What is j(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:44 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353366, -353368, -353370, -353372, -353374, -353376?\nAnswer: -353378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1231120003 - 2?\nAnswer: -1231120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -47 (b) 4 (c) -3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5967 and 2856503.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -228.47 - -230. Let b = -0.01 + 0.04. Let r = d - b. What is r rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 5*y + 7. Let l(r) = r**2 - 5*r + 6. Let n = -15 + 22. Let a(t) = n*l(t) - 6*p(t). Factor a(o).\nAnswer: -5*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + ((-2093)\/(-42))\/13?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174 - 278. Let l = -109 - a. Let w(o) = o**2 + 5*o - 1. Let i be w(l). Let n(y) = 5*y**3 + y**2 + 2*y + 1. Determine n(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -4*s + 5*o, -3*o = -4*s - 6*o + 102. Suppose -5*a = -107 + s. Let u(f) = 2*f - 5. What is the remainder when a is divided by u(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -406708560*u**3 - 358*u**2 + 3364 wrt u?\nAnswer: -2440251360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 9. Let h be (3 - 13\/z)*-3. Suppose 0 = -h*i + 5*i - 20. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 16. Let d be (-154)\/i + -1 + (-2)\/(-6). Let a(r) = r**2 + 6*r - 6. What is a(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -85*t + 1612. List the prime factors of o(8).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 9*z - 9. Let y(l) = -l**2 - 8*l - 8. Determine -5*p(n) + 6*y(n).\nAnswer: -n**2 - 3*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5905 + -17510\/3. Let v = 69 - x. Factor v*n**3 + 0 + 0*n - 2\/3*n**2.\nAnswer: 2*n**2*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-12) - 150\/20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*o**3 - 13745776*f**3*w**2 - 40*f**2 - 10*f*o**3 + 444*f*o**2*w**2 + 5*o**3 wrt f?\nAnswer: 6*o**3 - 82474656*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.00802 + 0.20802. What is the closest to 0.2 in z, 14\/13, -0.4, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/120 + 2*g**5\/15 - 5*g**4\/12 + g**3\/3 - g**2 + 6. Let z be a(-9). Is 13 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, 3, 1\/4, 0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/24 + (8\/2)\/(-16). Let j = -1 - -4. Solve -b + 12 = -2*m, j*m - 7*m + 4*b - 28 = z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/60 + 7*x**4\/24 - 3*x**2. Let w = -19 + 6. Let f = w - -8. Determine k(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213377497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 5) + (-2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 3:17 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3*(-1)\/(-3)). Let t be 2 + 1 + (0 - -1). Let f be -1 + t - (v + -2). Solve f*i = 5*b - 8, -2*b = -i - 0 - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 225, 434, 625, 792, 929, 1030, 1089, 1100?\n\"Answer: -c**3 - 3*c**2 + 225*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 1805 = -50*p - 57*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d - 8. Suppose -2*w - 4 - 4 = 4*y, 3*y + 20 = 2*w. Let o be r(w). Solve c + 1 = 0, o*c - c = -z + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from {y: 7, d: 1, l: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-8))\/(11\/26444). Suppose 3*c = -2*a + h, 11*a - 8*a - 2*c = 882. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 26*o**2 - 239*o + 5. Let a(q) = -31*q**2 + 237*q - 6. Calculate 5*a(r) + 6*m(r).\nAnswer: r**2 - 249*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21247*f**2 + 4*f + 10316*f**2 - 5*f + 10419*f**2 + f.\nAnswer: -512*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a - -4?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 2*u + 5. Let g(m) = -3*m**2 - 3*m + 11. Let v(q) = 5*a(q) - 2*g(q). Let t = -9 - -11. Let k be v(t). What is the smallest value in k, 2\/5, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p - 1. Let z(t) = -20*t + 12*t - 3 + 15*t. Let l = -1 - 1. Determine l*z(r) + 5*g(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -382, -560?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*g - 294 = 138*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4996 - -7529. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:22 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 q when three letters picked without replacement from {q: 2, m: 2, t: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58572335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8303 = 2*i + 8311 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -110*w + 853. Calculate y(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 25 + (-3)\/(-3). Let o = 29 - t. Suppose 14 - 55 = -3*c + 4*a, -2*c + o*a = -32. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 12*q - 7. Let c be r(-5). Suppose -c*f + f = -26. What is the remainder when 49 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26330383*j**4 + 145*j - 54515.\nAnswer: 315964596*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v - 2508 = 16*v. Let j = v - 209. Which is greater: j or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -1.2. Let f = 67\/3 - 22. What is the closest to f in 0.3, -1, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7423 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*l + 21 = 0, 96 = 4*v - 1803*l + 1782*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2353715?\nAnswer: 5, 7, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6256246055 to the power of 1\/3, to the nearest integer?\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840100 divided by 368020?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 1422637078.01\nAnswer: 1422637086.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -402, -1\/3, 5 in decreasing order.\nAnswer: 5, -1\/3, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1317222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(90\/252*-2 - (-64)\/70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 8. Let q(l) = 3*l**2 - 62*l - 25. Let u be q(21). Put x, -2, -3, u in increasing order.\nAnswer: u, -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeepeepepeyyeeeeep. What is prob of picking 1 y and 3 p?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 12. Let t be (k\/66)\/((-3)\/(-4)). Which is the nearest to t? (a) 0 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*0.205\nAnswer: 0.00205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19104277 a multiple of 1461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60557 and 844?\nAnswer: 242228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 103 + 6*c**3 - 7*c**3 + 6*c**2 - 97. Determine u(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (351 - 134 - 124)*(-1 + 0 + 0)*(3 - 3 + 2*h)*(2*h**3 + 4*h**3 + 3*h**3).\nAnswer: -1674*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j*x**3 - 6628*j*x + 13529*j + 2 wrt x?\nAnswer: 9*j*x**2 - 6628*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -50*w - 3. List the prime factors of o(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -x + 17. Suppose 4*v = 5*t - 209, -5*v + 23 = 2*t - x. What is the highest common factor of t and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 324420 + -324401.0521. Let h = v - -59.0563. Let g = h - 78. Round g to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9\/38 + 251\/418. Factor 2\/11*r**5 + 0*r**3 - 2\/11*r + 0 - 4\/11*r**2 + a*r**4.\nAnswer: 2*r*(r - 1)*(r + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 946, -3, -4 in decreasing order.\nAnswer: 946, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 3:19 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37231, 148880, 334961, 595474, 930419, 1339796?\nAnswer: 1823605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -142*n - 643. Does 3 divide q(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -2915.\nAnswer: 4\/2915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2425 - 907. What are the prime factors of l?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 3. Let t(u) = 4*u**2 - 28*u + 28. Let y(v) = -28*h(v) - 3*t(v). Let d(s) = -10*s**2 + 14*s**2 + s**2. What is d(y(o))?\nAnswer: 720*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 32*z**2 - 2*z - 52. Determine t(-32).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30217 - 109783 = -m. Round m to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109684?\nAnswer: 2, 17, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2158 - 283 = 5*p, -o + 5*p = 465. Let d = o + 785. Is 55 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 1033*c - 1036*c = 15, -2*c = 2*a + 18 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 7*o - 180 = 160. Let n(d) = -d**3 + 4*d**2 + 2*d. What is the lowest common multiple of n(4) and o?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14332615 (base 7) to base 5\nAnswer: -321242010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, -25, -64, -119?\n\"Answer: -8*w**2 + w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22044775 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/14 and 31\/192.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*j - i - 10 = 0, 4*j = 5*i + 18. Let o = 16 - 16.2. Which is the nearest to o? (a) j (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.97 - 0.03. Let i = v - -6.7. Which is the second smallest value? (a) -4 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t - 13*t + 5*h + 800, 0 = -4*t - 4*h + 592. Calculate the highest common divisor of 504 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100101010110 - 11?\nAnswer: -100100101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-8))\/(268\/(-24) - -12). Let t = -2.1 - -2.1. Sort w, 0.5, 11, t in ascending order.\nAnswer: t, 0.5, w, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8682 and 469?\nAnswer: 407.1858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17523 divided by 5841\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-19\/2)\/k*k**25*(k**11*k)**(2\/41) assuming k is positive.\nAnswer: k**(1237\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 76\/(-190)*10\/(-15)*15\/6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 606 - 415. Let w = a + 345. Suppose -8 = 8*j - w. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*v - 0*v. Let a be (24\/(-20))\/((-3)\/10). Let p(f) = -f**2 + 4*f + 4. Calculate the remainder when v is divided by p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1486512\/40231145 + 3\/70705. Let f = 3496954304 - 39795340041961\/11380. Let s = m - f. Calculate the common denominator of -71\/70 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 - -22356186680.\nAnswer: 22356186682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) - (6*(sqrt(720) + -4*sqrt(720)) - sqrt(720))) + sqrt(720))\/(sqrt(20)\/(sqrt(5) + sqrt(30)\/sqrt(384))).\nAnswer: 567*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5143437497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45.9 - 42.9. Let t = 14 - 6. Let l = 8.1 - t. Sort l, y, 0 in increasing order.\nAnswer: 0, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646695383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23130 - -101233?\nAnswer: 12103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**2\/8 + 219*f\/8 - 225\/4 = 0.\nAnswer: -75, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18361343 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 222*r**3 - 3776*r**2 + 15574*r - 140.\nAnswer: 2*(r - 10)*(r - 7)*(111*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778928?\nAnswer: 2, 89, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 111, 141, 193, 273, 387, 541, 741?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-300)*-6*(-50)\/(-210)*(-42)\/12.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83979057 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -71804.45011 - 3\nAnswer: -71807.45011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*a - 13, z = 8 - 3. Let s(v) = v + 10. Let w = -11 - -5. Let p be s(w). Put -2, p, a in decreasing order.\nAnswer: p, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/71 in 11, 17, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82151977?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6 - 1 - 4 - 5*n. Calculate w(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 4 - (4 + -2 - -3 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 2:15 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:30 PM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:56 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 g, and 1 d when three letters picked without replacement from {g: 6, d: 2, m: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 12*m + 47. Let h(y) = -2*y**2. Calculate h(v(l)).\nAnswer: -288*l**2 - 2256*l - 4418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - f + 2*f**4 + (0 + 0 + f**2)*(3*f**2 + 2*f**2 - 3*f**2) + (-3*f**3 + 8*f**3 + 2*f**3)*(4 - 26*f - 4) + 2*f - f**4 - 2*f.\nAnswer: -179*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1595 = 7*g. Let m = 368 - g. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -304.649 - 0.351. Let p = v - -176. Let t = p - -128.9999878. Round t to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 897 (b) 1 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h = -7288 + 6795 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1304846787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17219914445 and -28.8.\nAnswer: -17219914473.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 + 174\/6)*(1 - 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 177, -0.3, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30744 - -102?\nAnswer: 31046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*8\/(-28) - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539)*-2*-4)**2 - (-5*(0 + sqrt(539)))**2) + 3*5*(sqrt(539) + 2)*-5.\nAnswer: -525*sqrt(11) + 20871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 + 26*d + 50. What is w(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five halves of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + -7.2. Let i = o + -2. Let t = i - -9.87. What is t rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41411440 a multiple of 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 989.39 times 25?\nAnswer: 24734.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 + 1 - 2*a + a**3 - 3*a**4 + 5*a**4 + 2*a**4 to z*a**3 + q*a + g*a**2 + f + s*a**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -187 (b) 3\/4 (c) 11 (d) 2.1 (e) -0.4 (f) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1532979 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/6 and 43\/1587.\nAnswer: 3174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c + c**3 + 2*c**4 - 2*c**3 + 4*c + c**2 - 5*c to the form f*c**4 + j*c + n*c**2 + o + l*c**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 4*h**2 - 2*h**2)*(-3 + 4 + 0)*(11*h - 11*h + h**2) - 3*h**4 - 9*h + 9*h.\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/5)\/(5*(-10)\/25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h + 84. Give l(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 78121514 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 15*k + 19. Let l(i) = i**2 - 22. Let a be l(6). Let u be q(a). Suppose 2*h = -4*w + 3*h + 399, h + 498 = u*w. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, y: 3, v: 1, a: 5, i: 4, r: 1}. What is prob of picking 1 r, 2 y, and 1 v?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*sqrt(19) + sqrt(19) + 3.\nAnswer: 3 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*t**2 - 3*t**3 + 154*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 51173 (base 11) to base 4\nAnswer: 102033301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let n be z(-6). Suppose 4*u - 2*b = 34, n*b - 1 = 4*b. Let f(q) = 69*q**2 + 11. Let s be f(u). What is s rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 166*c - 162*c = 2*m - 6, 0 = -3*m + 7*c + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**2 - 54*y - 10. Let i be o(5). Let t be ((-28)\/8 - i)\/(8\/304). Solve t*m - 10 = 62*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 2 - 5*o)*(10*o - 6*o - 6*o) in the form y*o**2 + f*o + p and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9, -0.1, 89?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 7. Let w = n - 4. Suppose -40 = -w*u + u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*n + 136*n - 2090 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -252*y**4 + 265927*y**2 + 420719*y - 314 wrt y.\nAnswer: -3024*y**2 + 531854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (75\/9)\/((-296)\/24). Let i be (556\/6)\/(296\/(-21)). Let z = i + x. Which is smaller: -6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6eba0c + -61?\nAnswer: 6eb9ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319 + 303. Which is the second biggest value? (a) -4\/5 (b) -1\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 503, 75, -831, -2215, -4077?\nAnswer: -6417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2166*i*n - 2*i*v**2 + 42*n + 219*v**2 wrt i?\nAnswer: -2166*n - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*l + 6 = 0, -27*l - 16 = 2*c - 24*l. Let m be -6*(0 - 3\/6). Sort c, 0, m.\nAnswer: c, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -30*y - 55. Let h(r) = 5*r + 12. Let i(a) = 2*f(a) + 11*h(a). Calculate i(11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7147\/9525 - 8\/127. What is the common denominator of d and -107\/18?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o - o + 3*o)*(o - o + o) + 2*o**2 - o**2 + 0*o**2 + (-3*o + 0*o + 5*o)*(3 + 2*o - 3))*(-17*o + 5*o**3 + 17*o).\nAnswer: 30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -145*m + 5740. Give x(41).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 m, and 1 g when four letters picked without replacement from rmqgqqqimqiq?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26607.98+-1348500\nAnswer: -1321892.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.21 + 45.79. Let g = s + -46.17. What is the third smallest value in -0.05, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (1 - 7) + 3. Let y = -1 - 2. Let j be 3 + 0 + -5 + 0 + 3. Sort n, y, j in descending order.\nAnswer: j, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(190) - ((sqrt(190) - 5*sqrt(190)) + sqrt(190))*-3) + sqrt(190))\/(sqrt(100)\/(sqrt(10)*-5)).\nAnswer: 210*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 9*t - 60 = 3, 2*f - 1600 = t - 1601 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 5054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/9)\/(k\/(k**(-16)*k)))**(1\/15) assuming k is positive.\nAnswer: k**(-29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.902064 rounded to two decimal places?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y - 5 + 110 = -12. Let o = -2 + -3. Sort y, o, -14, 5 in increasing order.\nAnswer: -14, o, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 296*v**4 - 294970*v - 916555147?\nAnswer: 1184*v**3 - 294970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1255962 and 36?\nAnswer: 7535772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 + 1 + 0 - 7*x**3 - 3 to the form f*x**3 + s*x + g*x**2 + y and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -5 - -2) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 127716403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -127, -3.\nAnswer: -127, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1109873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5*1\/(-2)*24\/(-100)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 11:54 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 5*h + 2 + 4*h)*((-1 - 2 + 4)*(-2 + 6 - 1) + (-3 + 4 + 0)*(6 - 4 - 1) - 32 - 81 - 67) as q*h + d and give d.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 100546070 - 122648930 = 0. Round z to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/8086230 and -107\/193104.\nAnswer: 64689840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-380)\/(-57) - 7)*12. Let c = 25 + -10. What is the second smallest value in z, -0.3, c, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 divided by -77?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36 + -32)\/(10\/(-15)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-21))\/(o**(8\/9)*o))\/(o**(-20)\/o**(1\/9)))**(2\/3) assuming o is positive.\nAnswer: o**(724\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11997082 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*9\/(-270)*5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -1 (c) 4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (17 + -9 + -6)\/(2\/26661) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/405*(1716\/65)\/(-22).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -486 + 532. Suppose g = -22*g + k. Let a(f) = -f + 1. Let v(x) = -4*x + 6. Let o(j) = -10*a(j) + 2*v(j). Determine o(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v + v**2 + 29 - 16 - 9. Let y be k(5). Suppose -5*j = 2*i - 7, j + j + y*i + 10 = 0. Solve 3*x - 4*p = -32, j*p + 2 = -2*x + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 9*t + 11. Let r be k(8). Suppose -2*x + 4*x + 22 = -2*g, -4*x - 38 = r*g. Let s(c) = c**3 + 6*c**2 - c - 4. List the prime factors of s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21868.74 months?\nAnswer: 182.2395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 373176049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 17. Let u be w(7). Let k be 3\/(-6) - u\/2. What is the greatest common factor of 44 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112925 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 + -135. Let j be 22\/(-99) - (1 + n\/(-18)). Let r = -3.07 - -0.07. Put j, r, -2\/11 in decreasing order.\nAnswer: j, -2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*k + 55, 3*k = 2*n + 2*k + 15. Suppose 0 = -4*v + 3*m + 103, -7 = -v - m - 2*m. Let z = n + v. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 4, q: 2}. Give prob of sequence ptp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12612878 divided by 46.\nAnswer: -274193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109 - 109. Suppose t*v = -8*v + 264. Differentiate -v*r**2 - 4 - 9 - 8 + 15 wrt r.\nAnswer: -66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m + 4 = 0, 4*m + 76 = -4*j. Let p be 4\/(-10) + (-108)\/j + -2. Solve -4*n + 13 = -p*d, -4*n + 19 = -5*d - 0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/60 and -93\/998.\nAnswer: 29940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*(sqrt(133)\/sqrt(175)*-5 - -2*sqrt(38)\/sqrt(2)*-3).\nAnswer: -1 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/14, -4\/3, -0.0412, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 513 and 0.0525 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -417 - -415. Let n be (-6 - (-2 - 4))*a\/(-4). Solve n*b = -2*y - 3*b - 1, 0 = 2*y - 4*b + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -8, 46, 102, 160, 220?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 + -37. Suppose -4*o - 1093 = -k. Calculate the remainder when o\/(-15) - 6\/(-15) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -53 - -18) + -11 + 21 + -3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*r**5 - 4*r - r**5 + 0*r**5 + 6*r**5 wrt r?\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzs when three letters picked without replacement from {z: 5, j: 2, a: 1, m: 3, s: 1, h: 1}?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 3 + 5 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 319.1 + -319.63. What is the third biggest value in -3, f, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 3*i**2 + 43*i + 167. What is a(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -53034*30.1\nAnswer: -1596323.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*j + 369 + 255 = 775*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**2 - 510*r + 13005 = 0.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*t - 166081 = -166158, 3*t = -5*q + 3*q + 40 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4447 + -3?\nAnswer: -4451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3127, -38, -7, 0 in descending order.\nAnswer: 3127, 0, -7, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78026, -155981, -233912, -311825, -389726, -467621, -545516, -623417?\nAnswer: -701330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/3 at most -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 9*v**4 - 2733*v**3 + 83310*v**2 - 407016*v + 544320 = 0.\nAnswer: 8\/3, 3, 28, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + -0.4. Let g = m - -0.2. Let i = g + 3. Does i = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 303636*q + 3036291. What is k(-10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2271 - -2271. Which is greater: n or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24099 and 3601.\nAnswer: 313287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 3. Let t be r(-3). Let h = t - -5. Solve q - h = -0*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - m**2 + 1. Let o = -19 - -29. Suppose -o = 2*i + 4*k - 34, 5*k = -4*i + 42. What is the least common multiple of i and s(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 8*h**2 - 8*h + 3. Calculate v(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - j + 2*j)*(-247*j - 37*j**2 + 247*j) + (2*j**2 - 3*j**2 + 3*j**2)*(5*j + 0*j - 4*j)*(1 - 3 + 3).\nAnswer: 39*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-3)*-8*4\/(-120).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c - 5*i = -33, 5*i - 72 = -4*c. Let h = c + -6. Suppose -1 = -2*l + 9. Solve -h = -l*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 83, 0.06?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(2*z**2 - 2*z**2 - z**2) + z**2 + 0*z**2 + z**2 + (-1 + 4 - 1)*(5*z**2 - 3*z**2 + 0*z**2) + z**2 - 4 + 4.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -31*t + 10. Let j be y(-2). Let g be 8\/(-14) - (-64)\/14. Suppose -25 = g*a - 121. What is the highest common factor of j and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 293 = 4*f, -3*q - 424 = -7*q - 3*f. What is the remainder when q is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**3\/6 - t**2 + 85*t. What is k(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -544 + 1008. Let r = 463 - s. Which is the nearest to r? (a) -44 (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b**2 + 2. Suppose 4*z + 15 = 11. Let h(o) = 1194*o**2 - 1 - 595*o**2 - 598*o**2. Give z*c(y) - 2*h(y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.7429 and -11.\nAnswer: -11.7429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2 - 8. Let o = -7 + c. Suppose o*a - 45 = -2*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 11, g: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*v + 25, 0 = -g - 3*v + 10 - 3. Let a(y) = y**2 + y. What is the units digit of a(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**3 - 16*v**2 + 5*v + 13. Let o be u(0). Suppose 3*i - z - 43 = 3*z, 9 = i + 4*z. What is the highest common factor of o and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)\/1*0. Let i = 244 + -227. Solve j = 5*f + 3 + i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -42. Let l = 7 + m. Let z = 5 + l. Do z and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1010.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0*h**6 - 5\/42*h**7 + 0 + 0*h**2 + h + 0*h**4 + 0*h**5 - 1\/3*h**3. What is the second derivative of y(v) wrt v?\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(16)*-2).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 55*o**3\/6 - 9*o**2 - 3*o + 19. Let y(c) be the first derivative of a(c). Is y(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, i: 3}. What is prob of picking 2 i and 2 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaeagaanl. Give prob of sequence gn.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((252\/(-189))\/((-4)\/27))\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 2:58 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00876 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276 and 12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4865 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 1943?\nAnswer: -1944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 11. Let x(w) = w + 8. Let n(v) = 2*b(v) + 3*x(v). Determine n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 11284, -0.38?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 104. Let b(x) = -20*x**2 - 30*x**2 + 51*x**2. Determine b(m(k)).\nAnswer: 4*k**2 + 416*k + 10816","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4213 times -13.386\nAnswer: -56395.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - y + 5*y**3 - 4*y**3 + 4*y**3 + 5*y**2. Let v(k) = k**3 + k**2 - k + 1. Give -f(p) + 2*v(p).\nAnswer: -3*p**3 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279013*a**3*d*k - 6*a**3*k - 622482*a**2*d*k - 5*a**2*k wrt a.\nAnswer: 1674078*d*k - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 8*f + 15. What is the remainder when 7 is divided by y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -30153 and 1303 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/42 and -125\/13086.\nAnswer: 91602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, v: 1, u: 1, m: 4}. Give prob of picking 2 m and 1 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305553 and 5690?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-135) + 2 + (-5)\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from {l: 3, a: 1, o: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*c + 22*c + 3. Suppose 5*b + c - 184 = 3*i, b = -4*i + 32. Suppose -b = 7*j - 13*j. Solve v + v + j = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + r**2 + 4*r**2 + (-4*r + 6*r - r)*(0*r + r + 0*r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16622174 to the nearest integer?\nAnswer: 4077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**2 - 3*n**3 + 19731 + 2*n**2 + 3*n - 19716 in the form t*n**3 + a*n**2 + x*n + l and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-40 + 46 + -4 + (-1 - 13)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148727 is divided by 5153?\nAnswer: 4443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, 7, -10, 0, 34 in increasing order.\nAnswer: -10, -5, 0, 7, 11, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*-4 - 3*(-67)\/3 is divided by (-27)\/(-2) - (-1)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 17. Suppose -d + 3 = 5. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 27*x. Let r(k) = 7*k. Let o(l) = -15*r(l) + 4*u(l). Let z(h) be the third derivative of h**5\/60 - h**2. What is z(o(v))?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3337*q - 713*q - 604*q + 3743*q.\nAnswer: 5763*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-36)*(-7)\/(63\/12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 4768*v**3 + 147\/5*v**5 - 231 - 24576*v - 3840*v**2 - 1221\/2*v**4 - 1\/2*v**6. Find b, given that z(b) = 0.\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59013 from -0.136386.\nAnswer: -59013.136386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-650) - (0 + (-28)\/(-350)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + x - 1. Let c(q) = 12*q**2 + 6*q - 6. Let z(d) = c(d) - 6*g(d). Let j(u) = u**2. Determine z(j(h)).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 288477760 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2736)*-4)**2*2 + -1.\nAnswer: 787967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550397?\nAnswer: 499, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97436.63 millimeters in centimeters?\nAnswer: 9743.663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + 2. Suppose 2*c + 6569*m + 14 = 6565*m, -5*m = 4*c + 1. Which is bigger: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3*-2*18\/(-4). Let i = -4 - -2. Put -3, i, u in increasing order.\nAnswer: -3, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.0934722 rounded to 1 dp?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 12*w + 5. Let s be (-18)\/4*(3 - 1). Let j be m(s). Let r = -7 - j. What is the remainder when 28 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*j - 20, 61*f + 5*j = 64*f + 8. Let y = -2 - -3. Solve r - y = -k, 12 + 24 = f*r - 4*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 38. Let b(s) = s + 19. Let y(x) = 13*b(x) - 6*z(x). Let r be y(-6). Let i = -54 - r. What is i rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -16*c + 2 + c**2 + 5*c + 2 + 0. Is t(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1178695\/18759 - 3\/12506. Let h = b + -113\/2. Let w = h - 92\/15. Is 1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 392287.02 + -56\nAnswer: 392231.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 12:50 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 103*p + 4. Does 30 divide v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 2*o = -7*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 3*i**2 + 5*i - 1. Let k be (4\/12)\/((-2)\/(-24)). Let w be m(k). Suppose 6*j - w*j = 51. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1725109116 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 443710 to the nearest one thousand.\nAnswer: 444000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0236482 days in nanoseconds?\nAnswer: 2043204480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 572 = -2*p - m, 3*m + 1429 = 5*p. Suppose -o = 2*d - p, -4*d + o + 577 = 6*o. Let f = -79 + d. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/6 - s. Let o(c) be the first derivative of c**3\/3 + 1. Determine o(l(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6894, -6883, -6868, -6849, -6826, -6799, -6768?\n\"Answer: 2*y**2 + 5*y - 6901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuuc when four letters picked without replacement from {c: 3, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(52)\/sqrt(4) - (sqrt(52)*-2)**2) + (1*3*sqrt(65) - sqrt(65))\/sqrt(5).\nAnswer: -204 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(5\/2))\/g*(g*g*g**(-8))\/g)\/(g**0*g*g)**22 assuming g is positive.\nAnswer: g**(-97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 3\/5332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/6*(981\/(-6) - 0). Let g = y + -768\/7. Do g and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 291 - 303. Solve 3*l = l - g*j - 6, -3*j = 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 19 - (6\/9)\/((-8)\/12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 5*w**2 + 4*w - 5. Let s be 3*(16\/(-12) - -3). Let i be m(s). Suppose 4*k + i = 119. Solve 4*g - k = -2*f, 4*g - 5*f + 21 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -776*o**3 + 25*o**2 + 187*o. Let n(w) = -259*w**3 + 8*w**2 + 59*w. What is 6*h(d) - 19*n(d)?\nAnswer: 265*d**3 - 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -7*q**4\/3 + 6*q**3 - 4*q**2 + 92*q. Find x such that o(x) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -2 - (-21 + 22 + -18 + 9).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77\/5 of a litre?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -119.04 - -4824885843.\nAnswer: 4824885723.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*-9)\/(-3)*(-6 + 7). Suppose 0 = h*n - 356 - 3064. Suppose -n = -5*g + 5*z, 0*g - z - 1148 = -5*g. Is g a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/2503115 or 1?\nAnswer: -16\/2503115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35935 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/13 - 12562*x**2\/13 + 151010*x\/13 - 138446\/13 = 0. Calculate x.\nAnswer: -6293, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l + 456. Let h = -127 - l. What is the remainder when 94 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149999650 to the power of 1\/2, to the nearest integer?\nAnswer: 12247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 3.434, 5\/14 in decreasing order.\nAnswer: 3.434, 3\/7, 5\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2006)\/1593)\/((-33)\/9 + 1) and 53\/956?\nAnswer: 8604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*j - 15 = i, 3 = 3*j - 4*i. List the prime factors of -6*(-3 + j) + 4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 1)*(0*y - 2*y + 4*y) + 2*y + 2*y - 3*y)*(-12 + 2 - 1).\nAnswer: -55*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*t + 54*t + 935. Let j = -16 - t. Solve -3*d = -6, 5*d - j = -3*g - 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(4\/5)\/(h\/h**(-6))*((h*h*h**(2\/3))\/h)**(-30)*(h*h**0)**2\/((h\/h**(2\/15))\/(h\/h**(-1\/8))) assuming h is positive.\nAnswer: h**(-6473\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 6 - -7 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3330200313 + 2?\nAnswer: 3330200321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2744) + (sqrt(2744) - sqrt(2744)*-1))\/(-2*-1*sqrt(7)).\nAnswer: 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 5872*f**2 + 2*f - 5*f - 5902*f**2 + 11789*f**2.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1494 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-9)*(-1 + 16). Suppose -4*j + 25 + 15 = 0. Calculate the greatest common factor of y and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/((a**(3\/5)\/a)\/a))\/((a\/(a*a**(-9\/4)*a))\/((a*a*(a\/(a*a**1))\/a)\/a)) assuming a is positive.\nAnswer: a**(123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/35, 0.4, 230441, 3\/8, 0.3 in descending order.\nAnswer: 230441, 0.4, 3\/8, 0.3, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 2:23 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and 0.207581.\nAnswer: 6.642592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*t**2 - 950*t**3 + t**2 + 1077*t**3 - t**2 - 2427 wrt t.\nAnswer: 381*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -504*w**2 + 174*w**2 + 221*w**2 + 184*w**2. Let s(q) = -5*q. Determine s(k(p)).\nAnswer: -375*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 49*b**4 - 11*b**3 - 3*b. Let n(j) = -25*j**4 + 6*j**3 + 2*j. Let y(z) = -11*n(z) - 6*q(z). Find the second derivative of y(s) wrt s.\nAnswer: -228*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + v - 20 = 0, -2 = 2*n - 4*v - 32. Suppose 4 = 4*k + 5*r - n, -4 = -4*r. Which is the closest to 1\/2? (a) -44\/7 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 6. Let w(v) be the second derivative of v**5\/20 + 5*v**4\/12 - 5*v**3\/6 - 5*v**2 - 2*v. Let t be w(-5). Suppose -1 = -2*c - t. Give m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/134464, -16 in ascending order.\nAnswer: -16, -0.5, -3\/134464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1916624 divided by -239578.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - (sqrt(468) - (sqrt(468) - (0 + sqrt(468)))))*3*3*1*-1*2 + -4)**2 + 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/63)\/(-2))\/(((-2)\/390)\/((-636)\/(-1378)))\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 2 + y - 1\/2*y**2. Let b = -5646 + 5653. What is v(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 24890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 7 + 3)*(-2*a + 4*a - 4*a) + (1 + 2 + 2)*(-a + 3*a - 3*a))*(4*a**3 + 36*a**3 - 8*a**3).\nAnswer: 416*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 68*z + 569. Let f be a(-19). Which is bigger: f or -367?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8501 + 8614. Solve -122*v - 36 = -h*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 10*h**2 - 12*h + 11. Let b be n(11). Suppose -4*c + 68 = -b*c. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392520 is divided by 144.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*a - 3*d + 153, 0 = -a - 4*d + 84. Calculate the remainder when 158 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(152) + sqrt(152)))\/(-4*sqrt(40)\/sqrt(5)).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -129251430072908 + 129251445590291.9999982. Let v = b - 15517390. Let u = v + 6. Round u to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 319 divided by 470.\nAnswer: 319\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/14*-4)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -30. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 0.023358755589.\nAnswer: -0.423358755589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/12 - 377\/(-4). Let n = v + -42. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/5)\/r)**1*(r*(r*r\/(r\/(r**(2\/9)\/r)*r))\/r*r)\/r**(2\/5))\/(r*r**(-5)\/r*r**2)**(-25) assuming r is positive.\nAnswer: r**(-3446\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1936, 3832, 5654, 7366, 8932, 10316?\n\"Answer: -6*v**3 - v**2 + 1941*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*a + 28 = 4, 2*k - 5*a = 28. Let o(g) = 22 + k - 8 - g. Let y be o(6). Calculate the highest common factor of y and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-8) - (-42)\/4. Suppose f*q - 14*q = -2751. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315 + 289 - (0 - 31)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -4) + 2*-2. Suppose k = -7*m + 5*m + 4. List the prime factors of (64\/48)\/(m\/27).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.32, -196659.\nAnswer: -196659, 0, 1.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-3) - (-1 - (1 - 8)). Sort -2, -5, 5, b.\nAnswer: -5, b, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492 + 354 = 31*u - 172*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2*f + 8 = 0, 21*f - 20*f = 4*c - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4) + (-4 - (-157)\/46)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 8. Let l = 55 + -38. What are the prime factors of u(l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34141, 34132, 34113, 34078, 34021, 33936, 33817?\n\"Answer: -m**3 + m**2 - 5*m + 34146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**3 + 0*v**3 + 5*v**3)*(0 + 0 - 2*v + (-4 - 2 + 2)*(-4*v + 3*v - v)).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -13*z + 5*z**2 + 2*z**2 - 6*z**2 - 1. What is the units digit of l(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -7*l**2 - 7*l + 6. Let x be c(-6). Let v be (x\/(-100) + -2)*-1. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10 (b) 3 (c) -4 (d) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -23.08. Let p = -3.08 - j. Suppose -2*l - 2 = -0. Which is the third biggest value? (a) -0.4 (b) l (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d + 18. Let x be t(-6). Suppose 4*h + 4*y = -0*y + 692, -4*y = x. What is the remainder when h is divided by 60?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {i: 4, v: 6, h: 1, z: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24982212.2 - 24981752.200446. Let x = 460 - r. Round x to five dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*t + 45 = 0. Suppose o + 3*o + t*k = -2, o + 11 = 4*k. What is the smallest value in o, 0, -0.03?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -296*h - 297. Give r(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4)*t**(6\/13)*(t**(-1\/4)*t)**(25\/6) assuming t is positive.\nAnswer: t**(-43\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13 and -309.\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -455*r**2 + 112*r - 2?\nAnswer: -910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, u: 1}. What is prob of sequence rrur?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 4:52 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 111*g**3 - 33*g + 1.\nAnswer: 111*g**3 - 33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17694 (base 12) to base 15.\nAnswer: -a03d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 802 times -34393\nAnswer: -27583186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*j + 3 = 0, -y - 160770*j = -160781*j - 61 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-54)\/4094)\/(3\/2). Let z = 198775\/24564 + x. What is the common denominator of 3 + (-1095)\/(-90) + 0 + 1 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:15 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2677 and -21.\nAnswer: 2656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f*f**(-11)))\/(f*f**(-5\/2)*f)*f**(-6)*f**(-1\/6) assuming f is positive.\nAnswer: f**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 1. Suppose -3*h = k - 8 - 9, -4*k = 4*h - 28. What is the remainder when 8 is divided by o(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 15. Suppose 3*x - 8 = 2*m, 0 = -4*x - 3*m + 26 - 21. Solve 5*d - x*d = j for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 14*n - 14. Let l(x) = -12*x + 16. Determine 5*c(z) + 6*l(z).\nAnswer: -2*z + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47342606?\nAnswer: 2, 23671303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 115 = f, 20*p = 19*p - 2*f + 34. Let s be (-1)\/(-5) - (-4)\/(-180)*p. Which is the closest to -1? (a) 0 (b) s (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(-2*sqrt(40)) + 1)**2.\nAnswer: -sqrt(19)\/2 + 35\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*k**2 + 12*b**2*p**3*z - 7*b**2*z**3 + b*k**2*z**3 + 2*b*k*p**3*z + 2*b*k*p**2*z**3 + 2*b*p**3*z**2 + 3*b*z**2 wrt b?\nAnswer: 4*k**2 + 24*p**3*z - 14*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-1215)\/18*6\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1720, -3436, -5150, -6862?\n\"Answer: m**2 - 1719*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -57*g**2 + 0*g + 0 + 1\/2*g**3 + 1\/12*g**4. Find the first derivative of n(j) wrt j.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {z: 1, t: 11, h: 1, q: 2, x: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105538481 equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 166 + -166. Let y(b) be the first derivative of 0*b**2 - 5 - 1\/3*b**3 + d*b. Let v(n) = 2*n**2. Give y(v(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*q**2 + 84*q**2 + 7 - 40*q**2 + 4 to p*q + y + f*q**2 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/29820 and -26\/105.\nAnswer: 29820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22688 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}